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You may copy it, give it away or % +% re-use it under the terms of the Project Gutenberg License included % +% with this eBook or online at www.gutenberg.org % +% % +% % +% Title: Publications of the Astronomical Society of the Pacific % +% Volume 1 % +% % +% Author: Various % +% % +% Release Date: July 29, 2008 [EBook #26147] % +% % +% Language: English % +% % +% Character set encoding: ISO-8859-1 % +% % +% *** START OF THIS PROJECT GUTENBERG EBOOK ASTRONOMICAL SOCIETY OF THE PACIFIC *** +% % +% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % + +\def\ebook{26147} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% %% +%% Publications of the Astronomical Society of the Pacific %% +%% %% +%% No underfull or overfull boxes %% +%% %% +%% PDF pages: 127 %% +%% %% +%% Compile sequence: %% +%% %% +%% pdflatex x3 %% +%% %% +%% Compile History: %% +%% %% +%% Dec 07: Nigel Blower. %% +%% This document was processed with Miktex 2.6 on Windows XP. %% +%% The Miktex compiler was run three times, until the Table of %% +%% Contents was complete. %% +%% 10 illustrations (fig0 thru fig4, fig6 thru fig10) are %% +%% included as .jpg files in the images directory. %% +%% fig4 is used three times. %% +%% %% +%% Jul 08: dcwilson %% +%% MiKTeX 2.7, Windows XP Pro %% +%% %% +%% %% +%% July 2008: pglatex. %% +%% Compile this project with: %% +%% pdflatex 26147-t.tex ..... 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You may copy it, give it away or +re-use it under the terms of the Project Gutenberg License included +with this eBook or online at www.gutenberg.org + + +Title: Publications of the Astronomical Society of the Pacific + Volume 1 + +Author: Various + +Release Date: July 29, 2008 [EBook #26147] + +Language: English + +Character set encoding: ISO-8859-1 + +*** START OF THIS PROJECT GUTENBERG EBOOK ASTRONOMICAL SOCIETY OF THE PACIFIC *** +\end{verbatim} + +\newpage + +\pagestyle{plainfloats} + +%-----File: 0001.png----- + +\begin{titlepage} +\begin{center} +\begin{Large}\so{PUBLICATIONS}\end{Large}\\[15mm] +\so{\textsc{of \;the}}\\[15mm] +\begin{Huge}ASTRONOMICAL \; SOCIETY\end{Huge}\\[15mm] +\begin{huge}OF \; THE \; PACIFIC.\end{huge}\\[25mm] +\begin{large}(\textsc{Founded February~7, 1889}.)\end{large}\\[25mm] +\shortrule[2ex]\\[3mm] +\begin{large} \so{VOLUME \;I}.\end{large}\\[3mm] +\begin{Large}\textbf{1889}.\end{Large}\\[3mm] +\shortrule\\[25mm] +SAN FRANCISCO:\\[3mm] +\textsc{printed \;for \;the \;society}.\\[3mm] +\begin{large}1889.\end{large} +\end{center} +\end{titlepage} + +% title page verso: credits and TNs +\thispagestyle{empty} +\begin{center} +\small +Produced by Susan Skinner, Nigel Blower, Jonathan Niehof +and the Online Distributed Proofreading Team at +http://www.pgdp.net +\end{center} +\vfill +Transcriber's notes: the following corrigenda provided in the original volume have been implemented in this text. Other minor corrections are detailed in the source code. + +\begin{center} +\shortrule +\nbsectionheading{CORRIGENDA.} +\shortrule +\end{center} + +Page \pageref{cor1}; Insert a star (*) to signify life-membership after the following +names, viz: \textsc{Charles Goodall}, \textsc{Horace L. Hill}, \textsc{D.~O. Mills}. + +Page \pageref{cor2}; \textit{for} $5×7$ \textit{read} $4×5$. + +Page \pageref{cor3}; Column ``Star''; \textit{for} W.~H.~Z.\ \textit{read} W.~M.~Z. + +Page \pageref{cor4}; \textit{add} to Mr.\ \textsc{Boulton's} address, (Box 2015, New York +City). + +Page \pageref{cor5}; \textit{for} Centreville \textit{read} Warm Springs. + +Page \pageref{cor6}; \textit{for} \textsc{Terry} \textit{read} \textsc{Torrey}. + +\frontmatter + +%-----File: 0002.png----- +%-----File: 0003.png----- +%-----File: 0004.png----- +%-----File: 0005.png----- +\setcounter{tocdepth}{3} +\tableofcontents + + +%-----File: 0006.png----- +%-----File: 001.png----- +\mainmatter + +\nbchapterheading +\nbchapterbanner{No.\ 1.}{San Francisco, California, February~7, 1889.} +\nbchaptertoc{No.\ 1. (February~7, 1889).} + +\addcontentsline{toc}{section}{List of Officers \textit{pro tem.}} + +The Society was organized at a meeting held February~7, 1889, and the distribution +of the following Circular was ordered. The list of present members is +given on page 2. The following officers \textit{pro tem.}\ were chosen to serve till the +annual election on March 30th, next: + +\compactlist +\item EDWARD S. HOLDEN (Lick Observatory), \dotfill\textsc{President} +\item J.~M. SCHAEBERLE (Lick Observatory), \dotfill\textsc{Secretary} +\item C. BURCKHALTER (Chabot Observatory, Oakland), \dotfill\textsc{Secretary} +\item E.~J. MOLERA (850 Van Ness Ave., San Francisco), \dotfill\textsc{Treasurer} +\end{list} + +\ThoughtBreakLong* + +\nbsectionheading{\textit{\textso{CIRCULAR}}.} +\addcontentsline{toc}{section}{Circular} + +\begin{flushright} +\textsc{San Francisco}, February~7, 1889. +\end{flushright} + +\textsc{My Dear Sir}:---The cordial co-operation of many amateur +and professional astronomers in the very successful observations of +the Solar Eclipse of January~1, 1889, has again brought forward the +desirability of organizing an \textsc{Astronomical Society of the Pacific}, +in order that this pleasant and close association may not be lost, +either as a scientific or as a social force. You are respectfully invited +to become a member of this organization, and to do your part +towards making it useful in our community. + +The new Society is designed to be popular in the best sense of +the word. We wish to count in our membership every person on +the Pacific Coast who takes a genuine interest in Astronomy, whether +he has made special studies in this direction or not, and we believe +that every such person will get, and feel that he gets, a full return +from the Society, either from its publications or from its meetings. + +You will observe that the seat of the Society (the place of deposit +of its library, collections, etc.) is in San Francisco, where rooms +can doubtless be found. Half of the meetings of the Society are +to be held there (including the annual meeting). The other half +are proposed to be held at the Lick Observatory, on certain Saturdays +of the summer months when clear weather is to be expected. +It will be easy for the members to organize a trip (at excursion rates) +from San Francisco to the Lick Observatory, leaving San Francisco +%-----File: 002.png----- +at 8:30~\textsc{a.~m.}, and arriving at the Lick Observatory at 4~\textsc{p.~m.} A +business meeting can be held before 7~\textsc{p.~m.} + +At 7~\textsc{p.~m.}\ on Saturdays the telescopes of the Observatory are put +at the disposition of all visitors, and thus actual demonstrations from +the heavens can be made of subjects of discussion. + +It would seem that, in this way, a vivid interest in our science can +be created and maintained, and that a Society possessing such +exceptional advantages ought to grow and prosper, and be of real +weight in the advancement and in the diffusion of knowledge. We +should look forward to the establishment of an astronomical journal +of high class, to the formation of a special astronomical library, and +especially to the organization of such scientific work as requires +co-operation and mutual assistance. + +\filbreak +Invitations to join the Society have been sent and are hereby +extended to each member of the California Academy of Sciences, +Technical Society, Microscopical Society, Pacific Coast Amateur +Photographic Association, Geographical Society of the Pacific, San +Diego Society of Natural History, California Historical Society; to +each person who is known to have made observations of the Solar +Eclipse of January~1, 1889; to the President and Faculties of the +Colleges, Normal and High Schools of California; and to the officers +of the Government Surveys in California. + +\begin{center} +Very faithfully yours, +\addcontentsline{toc}{section}{List of Members}\\*[2em] +\begin{tabular}{l c l c} +\textsc{E.~J. Molera}, & San Francisco. & \textsc{Wm.~Irelan}, & San Francisco.\\ +\textsc{A.~P. Redington}, & `` & \textsc{C. Burckhalter}, & `` \\ +\textsc{Geo.~W. Reed}, & `` & \textsc{Ed.~Gray}, & `` \\ +\textsc{C.~L. Goddard}, & `` & \textsc{W.~C. Gibbs}, & `` \\ +\textsc{O.~V. Lange}, & `` & \textsc{C.~P. Grimwood}, & Fruitvale,\\ +\textsc{F.~H. McConnell}, & `` & \textsc{E.~S. Holden}, & Lick Observatory,\\ +\textsc{S.~C. Partridge}, & `` & \textsc{S.~W. Burnham}, & `` \\ +\textsc{W.~H. Lowden}, & `` & \textsc{J.~M. Schaeberle}, & `` \\ +\textsc{E.~W. Runyon}, & `` & \textsc{J.~E. Keeler}, & `` \\ +\textsc{Wm. Boericke}, & `` & \textsc{E.~E. Barnard}, & `` \\ +\textsc{W.~A. Dewey}, & `` & \textsc{C.~B. Hill}, & `` \\ +\textsc{F.~R. Ziel}, & `` & \textsc{J.~R. Jarboe}, & San Francisco.\\ +\textsc{Wm.~M. Pierson}, & `` & \textsc{P.~R. Jarboe}, & `` \\ +\textsc{Chase Gitchell}, & `` & \textsc{John Le Conte}, & Berkeley. \\ +\textsc{George Tasheira}, & `` & \textsc{I. Stringham}, & `` \\ +\textsc{V.~J.~A. Rey}, & `` & \textsc{F. Soulé}, & `` \\ +\textsc{A.~J. Treat}, & `` & \textsc{T. Guy Phelps}, & Belmont.\\ +\textsc{J.~H. Johnson}, & `` & \textsc{Arthur Rodgers}, & San Francisco.\\ +\textsc{S.~C. Passavant}, & `` & \textsc{Wm.~Norris}, & `` \\ +\textsc{W.~B. Tyler}, & `` & \textsc{C. Webb Howard}, & `` +\end{tabular} +\end{center} +\clearpage +%-----File: 003.png----- +\nbsectionheading{\begin{huge}\so{BY-LAWS}\end{huge}\\ +\begin{footnotesize}\so{OF THE}\end{footnotesize}\\[2mm] +ASTRONOMICAL SOCIETY OF THE PACIFIC.} + +\addcontentsline{toc}{section}{By-Laws} + +\nbsubsubsectionheading{\footnotesize +(Adopted February~7, 1889.)\\* +\shortrule} + +\nbsubsubsectionheading{ARTICLE I.} + +This Society shall be styled the \textsc{Astronomical Society of the +Pacific}. Its object shall be to advance the Science of Astronomy, +and to diffuse information concerning it. + +\nbsubsubsectionheading{ARTICLE II.} + +This Society shall consist of Active, Life, Corresponding and +Honorary members. + +1. Active members shall consist of persons who shall have been +elected to membership, and shall have paid their dues as hereinafter +provided. + +2. Life members shall consist of persons who shall have been +elected to life membership and shall have paid \$50 (fifty dollars) to +the Treasurer of the Society. + +3. Corresponding members shall consist of persons not residing +on the Pacific Coast, who shall have been elected by the Society as +such. + +4. Honorary members shall consist of persons specially distinguished +for their attainments in Astronomy, who shall have been +elected to honorary membership. + +Corresponding and Honorary members shall pay no dues, shall +not be eligible to office, and shall have no votes. + +\nbsubsubsectionheading{ARTICLE III.} + +At each annual election there shall be elected a Board of eleven +Directors, and a Committee on Publication consisting of three members. +The officers of this Society shall be a President, three Vice-Presidents, +%-----File: 004.png----- +two Secretaries and a Treasurer. The Directors shall +organize immediately after their election and elect from their number +the officers of the Society. They may also appoint a Librarian, and +such other assistants as may be required. + +The Library of the Society shall be kept in San Francisco, and +shall be open to the use of all the members. + + +\nbsubsubsectionheading{ARTICLE IV.} + +The President, or, in his absence, one of the three Vice-Presidents, +or, in the absence of both the President and the Vice-Presidents, +any member whom the Society may appoint shall preside at the meetings +of the Society. It shall be the duty of the President to preserve +order, to regulate the proceedings of the meetings, and to have +a general supervision of the affairs of the Society. + +\nbsubsubsectionheading{ARTICLE V.} + +The Secretaries shall keep and have the custody of the records; +they shall have the custody of all other property of the Society, excepting +the money thereof; they shall give timely notice of the time +and place of meetings; they shall keep in books a neat and accurate +record of all orders and proceedings of the Society, and properly +index them; they shall conduct the correspondence of the Society; +they shall preserve and index the originals of all communications +addressed to the Society; and keep a copy of all their letters, properly +indexed; and they shall prepare for publication an accurate +summary of the transactions of the Society at each of its meetings. + +\nbsubsubsectionheading{ARTICLE VI.} + +The Treasurer shall receive and deposit in such bank as may be +designated by the Directors, to the credit of the Society, all donations +and bequests of money and all other sums belonging to the Society. +He shall keep an account of all money received and paid by him, and +at the annual meeting render a particular statement of the same to the +Society. Money shall be paid by him only on the written order of +the Finance Committee of the Board of Directors. + +\nbsubsubsectionheading{ARTICLE VII.} + +Candidates for membership may be proposed at any meeting, and +voted for at any subsequent meeting. The vote shall be by ballot, +%-----File: 005.png----- +and a majority of the members present shall be required for an +election. + +\nbsubsubsectionheading{ARTICLE VIII.} + +Each active member shall pay an annual subscription of five dollars, +due on the first of January of each year, in advance. Each +active member shall, on his election, pay into the Treasury of this +Society the sum of five dollars, which shall be in lieu of the annual +subscription to the first of January following his election. No one +shall be deemed an active member, or receive a diploma, until he +has signed the register of members, or accepted his election to membership +in writing, and paid his dues for the current year. Any +member may be released from annual dues by the payment of +fifty dollars at one time, and placed on the roll of life members +by the vote of the Board of Directors. Any failure on the part +of a member to pay his dues within six months after the time the +same shall have become payable, shall be considered equivalent to a +resignation. + +\nbsubsubsectionheading{ARTICLE IX.} + +The annual meeting of this Society shall be held on the last Saturday +in March at eight o'clock \textsc{p.~m.}, at the rooms of the Society in +San Francisco; and bi-monthly meetings shall be held on the last +Saturday of each alternate month, for the ordinary transactions and +purposes of the Society, as follows: + +The meetings for the months of May, July and September shall +be held in the Library of the Lick Observatory, Mount Hamilton, +at a suitable hour; and the meetings for January, March and +November shall be held in the rooms of the Society, in San Francisco, +at eight o'clock \textsc{p.~m.} + +A special meeting may be called by the President, or, in his +absence or disability, by one of the Vice-Presidents; or, in the +absence or disability of both the President and the Vice-Presidents, +by the Secretary, on the written requisition of ten active members; +and the object of such meeting shall be stated in the notice by +which it is called. + +The annual election shall be held on the day of the annual +meeting, during such hours as the Directors may appoint. + +Only active and life members shall be permitted to vote at any +meeting of the Society, and no one shall vote who has not paid all +his dues for past and current years. +%-----File: 006.png----- + +\nbsubsubsectionheading{ARTICLE X.} + +Ten active or life members shall be a quorum for the transaction +of business. + +\nbsubsubsectionheading{ARTICLE XI.} + +No papers or manuscripts shall be published by the Society without +the consent of the Directors. Any motion to print an address, +or other paper read before the Society, or any other matter belonging +to the Society, shall be referred to the Committee on Publication, +who shall report to the Directors. The Committee on Publication +may make suggestions to the Directors, from time to time, with +reference to the publication of such papers as in their judgment +should be published by the Society; and this committee shall have +the care, direction and supervision of the publication of all papers +which the Directors may authorize to have published. + +Members of the Society shall receive all the publications of the +Society free of charge. + +\nbsubsubsectionheading{ARTICLE XII.} + +This Society may, by a vote of the majority of all its active and +life members, become a branch of an American Astronomical +Society, should one be formed. + +\nbsubsubsectionheading{ARTICLE XIII.} + +It shall be the duty of the Directors, in case any circumstances +shall arise likely to endanger the harmony, welfare or good order of +the Society, to call a special meeting of the Society; and if, at such +meeting, after an examination of the charges, and hearing the +accused, who shall have personal notice of such proceedings, it shall +be proposed that the offending member or members shall be expelled, +a vote by ballot shall be taken, and if two-thirds of the members +present vote in favor thereof, the offending member or members +shall be expelled. + +\nbsubsubsectionheading{ARTICLE XIV.} + +The Directors shall meet one hour before the stated time of each +bi-monthly meeting, and at such other times as they may appoint. +The President, or in his absence, any one of the Vice-Presidents, +may call special meetings of the Board of Directors at any time. +Notice of the time and place of such meeting shall be given by the +%-----File: 007.png----- +Secretaries, by depositing in the postoffice at San Francisco, a notice +of the time and place, addressed to each Director personally, at his +last known place of residence, with the postage thereon prepaid, six +days before the time of meeting. + + +\nbsubsubsectionheading{ARTICLE XV.} + +The By-Laws may be amended at any time by a consenting vote +of nine members of the Board of Directors at any regular meeting +thereof. + +\vfil +\[ + \includegraphics{images/fig0.jpg} +\] + +%-----File: 008.png----- +%[Blank Page] +%-----File: 009.png----- + +\nbchapterheading +\nbchapterbanner{No.\ 2.}{San Francisco, California, March~30, 1889.} +\nbchaptertoc{No.\ 2. (March~30, 1889).} + +\nbsectionheading{THE WORK OF AN ASTRONOMICAL SOCIETY. +\addcontentsline{toc}{section}{The Work of an Astronomical Society. Address by \textsc{Edward S. Holden}}\\*[4ex] +\shortrule[2ex]} + +\textit{Address delivered before the Astronomical Society of the Pacific, +March~30, 1889, by} \textsc{Edward S. Holden, LL.~D.}, \textit{Director of the +Lick Observatory.} + +\medskip +In the year 1820 the state of Astronomy in England was +somewhat as follows: The Royal Observatory at Greenwich +was pursuing its regular routine observations of the positions +of the sun, moon and stars under the direction of the Astronomer +Royal, \textsc{Pond}, whose chief service to Astronomy +consisted in the minute accuracy of his observations and in +the faithfulness with which they were amassed and discussed. +His controversy with \textsc{Brinkley} (Astronomer of the Dublin +Observatory) on the latter's determination of stellar parallaxes, +cleared the way for the great researches of \textsc{Bessel} and +\textsc{Struve} on the same subject, which followed a dozen years +later. The Radcliffe Observatory at Oxford was in operation, +but no observations were published. The Cambridge +Observatory was just founded. The Observatory at Edinburgh +was barely built, and was not yet a public institution. +The Armagh Observatory had no instruments of importance +and was doing no work. \textsc{Groombridge's} private observatory +at Blackheath was busy with his catalogue of 4243 circumpolar +stars. Sir~\textsc{William Herschel}, the greatest of practical astronomers +and the glory of England (then 82 years old), +was resting from his labors. His son, Sir~\textsc{John Herschel}, +had not yet begun that long series of observations which has +made his name illustrious. + +On the Continent, the magnificent labors of \textsc{Bessel}, \textsc{Gauss}, +\textsc{Olbers} and \textsc{Struve} were laying the foundations of the +science of to-day. The spirit of their methods made itself +known in England and deeply affected some of the younger +men at the universities---notably \textsc{Babbage}, \textsc{Dean Peacock}, +and Sir~\textsc{John Herschel}. These three entered into a compact, +%-----File: 010.png----- +which was most fruitfully carried out, ``to leave the +world wiser than they found it.'' One of the most important +results of this resolution was the founding of the Royal Astronomical +Society of London---an institution which has done +incalculable good in fostering the science of Astronomy, not +only in England, but throughout the whole civilized world. +It is not part of my purpose to trace the influence of this +society, nor to show in detail what its work has been. I +rather wish to quote here a few paragraphs from the ``Address +of the Society, Explanatory of their Views and Objects,'' +which was circulated in the year 1820, at the time of +its foundation. And I wish to do this for two reasons: because, +first, the need of such an association in our own midst +is much the same as that felt by \textsc{Herschel} and \textsc{Babbage} in +England sixty years ago; and, secondly, because the programme +of this society may point out to us along what lines +we should proceed to make our own newly formed Astronomical +Society equally useful in its own sphere. + +The times have changed since then, no doubt. The immediate +problems of Astronomy are different; but the spirit +of the methods by which they are to be attacked and solved +is eternally the same; and the need for co-operation and concentration +of forces is more and more pressing as the complexity +of processes becomes greater and greater. + +I ask you, then, to listen to a few brief extracts from the +first printed paper of the Royal Astronomical Society, and +to imagine to yourself the state of English Astronomy of that +day, when the elder \textsc{Herschel} had finished his work, and +when the host of English amateurs of to-day was represented +by \textsc{Groombridge}, toiling at the observations and the reductions +of his polar catalogue: + +\medskip +\begin{small} +``In a country like Great Britain, in which the sciences in general +are diligently cultivated, and \textit{Astronomy} in particular has made +extensive progress and attracted a large share of attention, it must +seem strange that no society should exist peculiarly devoted to the +cultivation of this science; and that Astronomy, the sublimest branch +of human knowledge, has remained up to the present time unassisted +by that most powerful aid; and has relied for its advancement on +the labors of insulated and independent individuals. + +``It may be conceived by some that Astronomy stands less in need +of assistance of this kind than any other of the sciences; and that, in +the state of perfection which its physical % Transcriber's note: original reads "physicial" + theory has already reached, +%-----File: 011.png----- +its ulterior progress may safely be intrusted to individual zeal and +to the great national establishment exclusively appropriated to celestial +observations; or, at all events, to those public institutions and academies +in all civilized nations whose object is the general cultivation +of the mathematical and physical sciences. It may therefore be necessary +to state the useful objects which may be accomplished, and +the impediments which may be removed, by the formation of a society +devoted solely to the encouragement and promotion of Astronomy. + +``Owing to the great perfection which the construction of optical +instruments has attained in England, and the taste for scientific research +universally prevalent, there have arisen in various parts of the kingdom +a number of private and public observatories, in which the celestial +phenomena are watched, and registered with assiduity and accuracy, +by men whose leisure and talents peculiarly adapt them for such +pursuits; while others, with a less splendid establishment, but by the +sacrifice of more valuable time, pursue the same end with equal zeal +and perseverance. Considerable collections of valuable observations +have thus originated; by far the greater part of which, however, +owing to the expense and difficulty of publication and various other +causes, must inevitably perish, or at least remain buried in obscurity, +and be lost to all useful purposes, unless collected and brought together +by the establishment of a common center of communication and classification, +to which they may respectively be imparted. + +``This great desideratum, it is presumed, will be attained by a +society founded on the model of other scientific institutions, having +for one of its objects the formation of a collection or deposit of manuscript +observations, etc., open at all times for inspection, to which +the industrious observer may consign the results of his labors, with +the certainty of their finding a place, among the material of knowledge +so amassed, exactly proportioned to their intrinsic value. At the +same time it will thus be rendered practicable to form a connected +series from a mass of detached and incomplete fragments; and the +society will render a valuable service to science by publishing from +time to time from this collection such communications or digests as +seem calculated by their nature and accuracy either to supply deficiencies +or to afford useful materials to the theoretical astronomer. + +\bigskip +\centerline{*\qquad\qquad*\qquad\qquad*\qquad\qquad*\qquad\qquad*\qquad\qquad*\qquad\qquad*} +\medskip + +``It is almost unnecessary to enumerate the advantages likely to +accrue from the encouragement which an Astronomical Society may +hold out; but among others may be mentioned the perfecting of our +knowledge of the latitudes and longitudes of places in every region +of the globe; the improvement of the lunar theory, and that of the +figure of the earth, by occultations, appulses, and eclipses simultaneously +observed in different situations; the advancement of our knowledge +of the laws of atmospherical refraction in different climates, +by corresponding observations of the fixed stars; the means of determining +more correctly the orbits of comets, by observations made in +the most distant parts of the world; and, in general, the frequent +opportunities, afforded to a society holding extensive correspondence, +%-----File: 012.png----- +of amassing materials which (though, separately of small importance) +may by their union become not only interesting at the present time, +but also valuable as subjects of reference in future. + +``By means of corresponding members, or associates, in distant countries, +the society may hope to unite the labors of foreign observers +with their own; and by thus establishing communication with eminent +astronomers and institutions in all parts of the world, to obtain the +earliest intelligence of new discoveries and improvements, which it +may, perhaps, be desirable to circulate among such of its members as +may profess themselves anxious to receive it, without loss of time. + +``The circulation also of notices of remarkable celestial phenomena +about to happen (with a view to drawing the attention of observers +to points which may serve important purposes in the determination +of elements or coefficients) may form another, and perhaps not the +least interesting object of the society. To have the same phenomena +watched for by many observers is the only sure way of having them +observed by some; and moreover, the attention of an astronomer +may frequently be aroused by a formal notice, especially when accompanied +with directions for observing the phenomenon in the most +effective way, when probably the mere ordinary mention of it in +an ephemeris might fail to attract his observation. + +``One of the collateral advantages of a society including many +practical astronomers among its members (but which will appear of +no small importance to those who possess good instruments) will be +the mutual understandings which will be propagated among amateur +astronomers, by frequent meetings and discussion, as to the relative +merits of their instruments; and as to the talents and ingenuity of +the various artists, both of our own and of foreign nations; not to +mention the emulation which this must naturally excite to possess +the best instruments; and the consequent tendency of such discussion +towards a further improvement in their construction, or to the discovery +of new ones. + +``As the extent of the funds of the society must depend on the +number of its members, it is impossible to conjecture at present how +far its views respecting their application may extend. Besides the +ordinary expenses attending an institution of this nature, the annual +or occasional publication of communicated observations; the payment +of computers employed in the reduction and arrangement of observations, +or in computing the orbits of new planets, comets or other +interesting bodies; the formation of an extensive astronomical library, +not only of manuscripts, but also of printed books; and perhaps, at +some future period, the proposals of prizes for the encouragement +of particular departments of the science, either theoretical or practical, +or for the improvement of astronomical instruments or tables, may +be mentioned as worthy objects on which they may be bestowed. + +``Such are the principal considerations which have actuated a number +of individuals to form themselves into a society, under the name +of the \textit{Astronomical Society of London}, and to give this publicity to +their determination, with a view of inviting others to unite in the +%-----File: 013.png----- +prosecution of their plans. They have at the very commencement met +with the most flattering success, which induces them to hope that, +in a short time, every assiduous cultivator of the science will be found +to have added his name to the list of members. + +``The objects of the original members may be sufficiently gathered +from what has been already said, and may be thus summed up in a +few words, viz: to encourage and promote their peculiar science by +every means in their power, but especially, by collecting, reducing +and publishing useful observations and tables, by setting on foot a +minute and systematic observation of the heavens, by encouraging +a general spirit of inquiry in practical Astronomy, by establishing +communications with foreign observers, by circulating notices of all +remarkable phenomena about to happen and of discoveries as they +arise, by comparing the merits of different artists eminent in the +construction of astronomical instruments, by proposing prizes for the +improvement of particular departments, and bestowing medals or +rewards on successful research in all; and, finally, by acting as far +as possible in concert with every institution, both in England and +abroad, whose objects have anything in common with their own; but +avoiding all interference with the objects and interests of established +scientific bodies.'' + +\end{small} +\medskip + +In our own case, we must remember how various are the +opportunities and attainments of our different members, and +try to lay the foundations of our efforts so broadly that +every class will find a sphere of action in our programme, a +stimulus in our proceedings, and a support in our friendly +association. The few professional astronomers in our midst +will here lose that sense of intellectual and professional isolation +which is a drawback and a danger. Nothing that is +clearly conceived is too technical to be placed before an assemblage +of intelligent men, and the very effort to explain +gives a lucidity to the original conception which it might +otherwise lack. There is a moral force, too, in knowing that +one does not need to wait for sympathetic appreciation, but +that it is to be found every day and all around one. The +opportunity to communicate the results of one's work readily +and quickly is of the highest value; and ``the end of all observation +is communication.'' + +By far the greater number of our members will be amateurs, +and here again we must recognize the fact that there are +many classes with many differing opportunities and means +for work and study. Some among us already possess telescopes +of no inconsiderable power. In 1820, there was no +refractor in Europe more powerful than the 5-inch telescope +%-----File: 014.png----- +with which \textsc{Herschel} and \textsc{South} observed their double stars. +It should be the aim of the society to point out the directions +in which such instruments can be used, so that either some +useful result will be attained for the science, or so that, at +least, the maximum amount of pleasure and personal profit +can be had by the owners. I presume there are few amateurs +who have not experienced a sense of disappointment in the +use of their telescopes. It is not that the heavens are less +glorious, nor that the observer is less devoted and enthusiastic, +but it is because he often comes to feel that there is an aimlessness +in his work which he finds to be disheartening. If +at this moment some word or hint can be given to him which +will show him how to employ his time and energies to some +real advantage, either to science or to himself, the old enthusiasm +will return and the labor will again become delightful. +It is precisely such words and such hints that he may expect +to find here among his colleagues. + +There is an important class of our amateur members whose +photographic experience and skill can bear the most useful +fruits if they are directed toward certain astronomical ends. +We also have professional astronomers among us, whose +photographic knowledge is second to none. The association +which this society makes easy and puts into an organized +form, has already led to important results in the observations +of the Solar Eclipse of last January by photographic means, +and will, no doubt, continue to be fruitful. There are many +other fields of research open to this method of observation. +We have other members, also, who have no apparatus for +observation, but who have the ability, the leisure and the desire +to forward Astronomy by computing the observations of +others. There is a boundless field for such amateurs, and I +am not sure that their efforts, if rightly directed, might not +be of more real importance than any others. The Lick Observatory +alone could provide the observations to keep a score +of computers busy, and this work could be so selected as to +be of all grades of difficulty and to employ every variety of +talent. + +Finally, we have among us those who have joined as learners; +who are here to listen, to observe, to read and to study. +They, in turn, should find in our meetings what they seek for +and require. Their reading and their study can be guided, +%-----File: 015.png----- +and it is among them that we may look for our workers after +the next few years. Every class of talent and opportunity +ought to find its profit either in our meetings or in our publications. + +One word with regard to the conduct of our meetings. My +own experience in scientific societies has led me to think that +their meetings should never consist of mere lectures, no matter +how interesting. There should be discussion, questions, remarks, +interchange of ideas, contact of active minds. Let +each member feel that he has a part to bear, both in the actual +meetings and outside of them, among his associates. In one +word, let our society be a live one---active, intelligent, modest, +competent. It has a doubled interest in its two-fold place of +meeting. The astronomers of the Lick Observatory can +promise that the meetings held at Mount Hamilton shall be +interesting and fruitful. The meetings held in San Francisco +will also be full of interest. + +One of the chief uses of the society will be to make an +astronomical library available to the amateur observer. We +have already made a beginning in this direction. It is not +necessary that our collection should be very extensive. A +complete astronomical library would contain, perhaps, 20,000 +volumes. But it is desirable that we should own a full set +of the most important astronomical journals. The progress +of the science can be traced in their pages from day to day, +and their past volumes give its history. + +I have thought it worth while to give in a list which follows +the titles of the more important astronomical periodicals, and +I have ventured to add the names of some twenty or thirty +books which our members would do well to own personally. +It is not necessary to buy all of them at once, but the possession +of one will lead to the desire for another, as the scope +of observation or of reading is enlarged. The society library +should begin by owning these volumes. It will grow subsequently +as our wants develop, both by purchase and by +exchange with other scientific institutions: +%-----File: 016.png----- + +\nbsubsubsectionheading{\textsc{Astronomical Journals.}} + +\compactlist +\item \textit{Astronomische Nachrichten} (established 1821); 2 vols.\ a year. Kiel; price, \$8.00. +\item \textit{Astronomical Journal} (established 1851). Cambridge, Mass.; \$5.00. +\item \textit{Bulletin Astronomique} (established 1884). Paris; \$4.75. +\item \textit{L'Astronomie} (established 1882). Paris; about \$3.75. +\item \textit{The Observatory} (established 1877). London; \$3.50. +\item \textit{Ciel et Terre} (established 1880). Brussels; \$2.60. +\item \textit{Himmel und Erde} (established 1888). Berlin; \$5.00. +\item \textit{Sirius} (established 1868). Leipzig; \$2.60. +\item \textit{Wochenschrift für Astronomie} (established 1847). Halle; \$2.70. +\item \textit{The Sidereal Messenger} (established 1882). Northfield, Minn.; \$2.00. +\item \textit{Nature.} London; \$6.00. +\item \textit{La Nature.} Paris; \$6.00. +\item \textit{The Companion to the Observatory.} London; published annually; 1s.~6d. + [This latter work will take the place to the amateur observer which the + \textit{Nautical Almanac} holds to the professional.] +\end{list} + +\medskip + +\nbsubsubsectionheading{\textsc{Publications of Astronomical Societies.}} + +\compactlist +\item \textit{Publicationen der Astronomischen Gesellschaft.} Leipzig; 4to (at irregular intervals). +\item \textit{Vierteljahrsschrift der Ast.\ Gesell.} Leipzig; quarterly. +\item \textit{\stretchyspace Memoirs and Monthly Notices of the Royal Astronomical Society.} London; yearly and monthly. +\item \textit{Journal of the Liverpool Astronomical Society.} Liverpool; monthly. +\item \textit{Bulletin de la Société Astronomique de France.} Paris; yearly (?). +\item \textit{Publications of the Astronomical Society of the Pacific.} San Francisco. +\end{list} + +\medskip + +\nbsubsubsectionheading{\textsc{List of Some Books of Reference in Astronomy.}} + +\compactlist +\item \textsc{Houzeau}: Vade Mecum de l'Astronome; 8vo. +\item \textsc{Wolf}: Geschichte der Astronomie; 8vo. +\item \textsc{Delaunay}: Cours Elémentaire de l'Astronomie; 12mo. +\item \textsc{Loomis}: Treatise on Astronomy; 8vo. +%-----File: 017.png----- +\item \textsc{Chauvenet}: Spherical and Practical Astronomy; 8vo; 2 vols. +\item \textsc{Ball}: Elements of Astronomy; 12mo. +\item \textsc{Young}: General Astronomy; 8vo. +\item \textsc{Herschel}: Outlines of Astronomy; 8vo. +\item \textsc{Arago}: Astronomie Populaire; 8vo; 4 vols. +\item \textsc{Flammarion}: Astronomie Populaire; 8vo. +\item \textsc{Newcomb}: Popular Astronomy; 8vo. +\item \textsc{Webb}: Celestial Objects for Common Telescopes; 12mo. +\item \textsc{Oliver}: Astronomy for Amateurs; 12mo. +\item \textsc{Proctor}: The Sun; 8vo. +\item \textsc{Proctor}: The Moon; 8vo. +\item \textsc{Proctor}: Saturn and His System; 8vo. +\item \textsc{Ledger}: The Sun, Its Planets and Their Satellites; 8vo. +\item \textsc{Watson}: A Popular Treatise on Comets, etc.; 12mo. +\item \textsc{Smyth}: Celestial Cycle; 2d ed.; revised by Chambers, 8vo. +\item \textsc{Klein}: Star-Atlas (translation by \textsc{McClure}.) +\item \textsc{Gledhill}: Handbook of Double Stars; 8vo. +\item \textsc{Chambers}: Descriptive Astronomy; 8vo. +\item \textsc{Grant}: History of Physical Astronomy; 8vo. +\item \textsc{Clerke}: History of Astronomy in the XIX Century; 2d ed.; 8vo. +\item \textsc{Delambre}: Histoire de l'Astronomie; 4to; 6 vols. +\end{list} + +If our own publications are valuable and worthy, they will +bring to us through exchanges many works of permanent +value. This brings me naturally to the question of what and +how much we ought to publish. On this I shall give my own +opinion freely, from my personal point of view. It may +easily be that my ideas on this question, which are rather positive, +require correction. If they do, the experience of the +society will be sure to show it. + +It seems to me, then, that we should be extremely careful +to make our publications fully worthy of the society. Any +observation faithfully made and properly recorded well deserves +a permanent place. Our very constitution, as a society +of amateurs, will usually prevent us from presenting these +long series of observations which can be amassed by professional +observers in fixed observatories. But we should be +careful not to make our publications a vehicle for the expression +of mere unsupported opinion. A theory should always +be accompanied by its vouchers. I would give more for one +%-----File: 018.png----- +careful measure of a double-star, for one faithful observation +of a comet, than for pages of speculation regarding the origin +of the solar system. Such speculations have their place in +science, no doubt, but to be valuable they must follow after +years of work. We should make our papers a record of actual +work accomplished. There is room, too, for \textit{résumés} of the +work of other observers and for papers relating to the +best methods of making our own observations. Important +papers in other periodicals may well be translated and printed +here. The pages of our journal should be truly representative +of the work and thought of the society in general. It would +be easy for the Lick Observatory staff to contribute enough +material to completely fill such a journal; but it appears to +me that, in general, the work of our observatory should appear +in abstract only, and that the observations and communications +from the amateur members of the society should always +constitute the greater part of the publication. At the same +time the observatory can serve a very useful end by furnishing +a series of abstracts of work done and in progress and +by printing notes on work proposed, especially if it is such +that our members can co-operate in it. It will be a source +of pride to us, if after many years we can look back over what +has been printed by the society, and see that every part of it +is the record of useful work faithfully done, and possesses a +permanent value. + +It is for this reason that it seems to me we should not +attempt to print at any regular intervals, as monthly or +quarterly. Let us keep our papers until we have enough +material to form a number of 8, 16, 24 pages, and then issue +and distribute this to our members and to our correspondents. + +It is tolerably certain that the time has not yet come for us +to perform another function of an astronomical society. I +refer to the foundation and to the bestowal of the medal of +the society as a reward for astronomical work of the highest +class. It is certain, however, that in the future, if such a +medal were founded, and if it were bestowed only for work +of the highest class, as I have said, and never, under any +circumstances, to one of our own members, that the responsibility +of the award would constitute an important stimulus +to the society itself, which would have to judge of the merits +of the various works proposed to be rewarded; and that such +%-----File: 019.png----- +awards, if always bestowed with judgment and discretion, +would soon make the voice of our society respected everywhere. +In fact, there is probably no way in which the society +could do more good, and in which it could be more quickly +influential, than by the bestowal of its medal upon those +astronomers whose works fully deserve it. And there is probably +no way in which a mistake of judgment would so quickly +discredit us, as in the bestowal of our highest award upon +insufficient scientific grounds, or for personal reasons. + +It is probably quite time that I should leave these general +considerations and come to the more special questions of the +work which our members may reasonably expect to do. In +any particular case this depends very largely upon the time +available for such occupation, upon the instrumental equipment +at hand, and upon the individual aptitude and ability. +I have already said that for those of us who are willing to +calculate the observations made by others, there is an endless +variety of work to do, of all grades of importance and difficulty. +For those who have only the leisure to interest and +divert themselves with observing, there is a rational and +useful method to follow, instead of a random one, which +will inevitably lead to disappointment. For those who are +willing to spend a very little time and money, there are many +fields, both old and new, needing cultivation. Let me mention +a few of these fields---speaking very briefly of each one: + +A very cheap telescope will serve to photograph the sun, +provided it be of tolerably long focus. It is highly desirable +to obtain enlarged pictures of the solar spots, and to repeat +in this country the solar photographs of \textsc{Janssen}, which are +taken with extremely short exposures---say, from one one-thousandth +to one two-thousandth of a second of time. A +series of careful counts of the number of new groups and new +spots can be made with a very small telescope, and will be very +useful. If any one of the society will charge himself with the +necessary measurements, we, at Mt.\ Hamilton, will undertake +to furnish daily photographs of the Sun on a scale of $4\frac{1}{2}$ inches +to the solar diameter for the purpose. + +I believe that much can be done by studying the moon's +surface with comparatively small telescopes. In such studies +I think it desirable to confine the attention to very limited +areas, and to study and draw these over and over again, under +%-----File: 020.png----- +every possible variety of illumination, until the telescope and +the observer can do no more. In this way it may be that +only small areas will be covered, but it is certain that our +knowledge can be materially increased. The observation of +the occultations of stars is most useful, provided the position +of the observing station and the local time are accurately +known. The Lick Observatory time-signals can be readily +made available for this purpose. Probably little can be added +to our knowledge of the surface features of the planets by +observations with the smaller telescopes. It is, however, well +worth the labor for several of our members to maintain a +series of observations of the eclipses of the satellites of +\textit{Jupiter}. There is nowhere in America, I believe, such a series +maintained. The results of this work will be directly comparable +with the observations on which the present tables are +founded, and constants of reduction can be determined by +which these observations can be employed in conjunction with +long series already obtained elsewhere. In this case, as in +so many others, our great distance in longitude from the +centers of observation, will give to our work a peculiar value. +We are eight hours west of Greenwich and three hours west +of Washington, and there is no astronomical establishment +between us and Japan, and no active observatory between +California and Australia. There is a whole field of photometric +work (both visual and photographic) which is open +to amateurs, and which needs cultivation. I refer especially +to the photometry of different portions of the sky under +illumination by the sun or by the moon. + +Photographs of the planets and neighboring stars of about +the same brilliancy on the same plate may very likely be of +use in comparing their relative brightness. Should a bright +comet appear, no chance should be lost to photograph it, to +study the changes in its head, and to map the position of its +tail among the stars. + +The observations of \textsc{Gothard}, on nebulć, by means of +long-exposure photographs have proved that even comparatively +small telescopes (provided with driving clocks), properly +used, are capable of giving the most brilliant and important +results. It is at least possible that the Zodiacal Light, +the Milky Way, the Twilight Arch, the Aurora, can be photographed. +I know of no direction where the skill of amateur +%-----File: 020a.png----- +photographers could be better spent than in experiments upon +these subjects. The problem is of the same nature as the +photography of the faint outlying streamers of the Solar +Corona, in which our California amateurs have been so successful. + +The field in which amateurs can render the greatest service, +however, is in the observation of the variable stars. If these +are to be observed by the eye, the use of a mere opera-glass +or of a very small telescope is usually sufficient to fix the time +of maximum or minimum light with accuracy, by comparisons +with neighboring stars which do not vary. Professor +\textsc{Pickering} has already presented to the Society a set of +printed instructions for making such observations. If the +observer has a photographic telescope or camera, the most +elegant and accurate method might be to allow the star's +image to \textit{trail} over the plate. When the trail is weakest the +Star has reached its minimum. A scale of time can be put +upon the plate by capping or uncapping the lens at known +instants. If the star is too faint to trail on the plate while +the latter remains at rest, a very simple clock-work motion +can be devised which will cause the telescope to follow the +star towards the west at a slow rate. This rate can be so +chosen by experiment as to make the \textit{trail} of suitable brightness +for measurement. + +There are scores of other researches of interest and importance +which I have not time to mention and which are +well within the reach of amateurs. One competent sextant +observer, acting in concert with the Lick Observatory, could +render a real service to the geography of the State, with very +little expenditure of time and money, by determining the +latitudes and longitudes of important points. If such an observer +were to fix the positions of the eclipse stations occupied +by the various parties on the 1st of last January, he could +thus make a positive contribution to science. Mr.\ \textsc{Keeler}, of +the Lick Observatory, has just completed a determination of +the position of Norman, for this purpose, as a beginning. + +I believe the radiant points of the brighter and more slowly +moving meteors can be accurately fixed by photography, and +at any rate the experiment is worth a trial. Statistics of the +number of telescopic meteors in different parts of the sky and +at different hours are very much needed and are extremely +easy to obtain. +%-----File: 020b.png----- +\filbreak % try to encourage signature to stay with this paragraph +I have thus hastily gone over the principal lines along which +we, as a society, may hope to work with success. If we +undertake all or any of the work thus indicated, and if we +carry it on with faithfulness and industry, we may be sure +that our efforts will be a veritable aid to science. Whatever +we do, let us do thoroughly. Whatever we say, let it be well +considered. Let us clearly understand the objects for which +we are organized, and let us pursue these with entire confidence. +The scope and membership of this society are such +that it can have no antagonisms and rivalries with any other. +But we may look forward to a career of real usefulness, not +only to our members, but to the science of Astronomy. In +our own time and way we may hope to make advances in this +path, and we may be sure that we can diffuse information in +its regard, and help to increase the intelligence, the activity +and the pleasure of all our members. + +\begin{flushright} +\textsc{Edward S. Holden.}\qquad +\end{flushright} + +\textsc{Lick Observatory}, February~15, 1889. +\clearpage +%-----File: 021.png----- +\nbsubsectionheading{Extract from the Minutes of the Annual Meeting of the Astronomical +Society of the Pacific, held at 8~p.~m., March~30, 1889, +at 605 Merchant Street, San Francisco.} + +\addcontentsline{toc}{section}{Minutes of the First Annual Meeting, March~30, 1889} + +\nbsubsubsectionheading{\footnotesize +(Prepared by the Secretaries for publication.)} + +The minutes of the meeting of February~7, 1889, were read and +approved. + +{\stretchyspace +The following named persons (proposed February 7th) were +elected to membership: Messrs.\ \textsc{William Alvord, J.~M. Selfridge, +A.~O. Leuschner, William F. Herrick, E.~M. Bixby, H.~T. Compton, +C.~F. Montealegre, W. Letts Oliver, E.~B. Jordan, James G. Jones, +Eugene Frost, C. Mitchell Grant, J.~T. Wallace, T.~P. Andrews}, +and Miss \textsc{Rosa O'Halloran}. + +}A Board of eleven Directors and a Publication Committee of +three members were elected. + +An address on ``The Work of an Astronomical Society'' was read +by Mr.\ \textsc{Holden}. This is printed in the present number. A paper on +``The Solar Corona,'' by Mr.\ \textsc{Pierson}, was received and its reading +postponed to the next meeting. + +After hearing the reports of the officers \textit{pro tem.}, the Society +adjourned to meet at Mount Hamilton, May 25th. + +The following resolution was adopted: + +\textit{Resolved}. That the Publications of the Astronomical Society of +the Pacific be regularly sent to the following Observatories, etc., and +that the Secretaries of the Society be instructed to notify them of +this resolution, and to request that they exchange their publications +with our own; and that the list of these Corresponding Societies and +Observatories be printed in the Publications of the Astronomical +Society of the Pacific: + +\addcontentsline{toc}{section}{List of Corresponding Observatories, Academies of Science, etc.} +\begin{small} +\newcounter{Lcount} +\begin{list}{\arabic{Lcount}.}{\usecounter{Lcount} \itemsep 0pt \parsep 0pt} +\item Dudley Observatory, Albany, New York. +\item Detroit Observatory, Ann Arbor, Michigan. +\item Royal Observatory, Berlin, Germany. +\item University Observatory, Bonn, Germany. +\item Royal Observatory, Brussels, Belgium. +\item University Observatory, Cambridge, England. +\item Harvard College Observatory, Cambridge, Massachusetts. +\item Royal Observatory, Capetown, Africa. +\item University Observatory, Cincinnati, Ohio. +\item University Observatory, Dorpat, Russia. +\item Royal Observatory, Greenwich, England. +\item Ducal Observatory, Karlsrühe, Germany. +\item University Observatory, Kasan, Russia. +\item University Observatory, Koenigsberg, Prussia. +\item Royal Observatory, Kopenhagen, Denmark. +\item University Observatory, Leiden, Holland. +\item University Observatory, Leipzig, Germany. +\item Royal Observatory, Milan, Italy. +\item Observatory, Melbourne, Australia. +\item University Observatory, Moscow, Russia. +\item Lick Observatory, Mount Hamilton, California. +\item Royal Observatory, Munich, Germany. +\item Carleton College Observatory, Northfield, Minnesota. +\item Radcliffe Observatory, Oxford, England. +\item Savilian Observatory, Oxford, England. +\item National Observatory, Paris, France. +\item Astrophysikalishes Institut, Potsdam, Germany. +\item Imperial Observatory, Pulkowa, Russia. +%-----File: 022.png----- +\item Observatory of the Roman College, Rome, Italy. +\item University Observatory, Stockholm, Sweden. +\item University Observatory, Strassburg, Germany. +\item McCormick Observatory, University of Virginia, Virginia. +\item Naval Observatory, Washington, District of Columbia. +\item Imperial Observatory, Vienna, Austro-Hungary. +\item Royal Astronomical Society, London, England. +\item Liverpool Astronomical Society, Liverpool, England. +\item Astronomical Society of France, Paris, France. +\item Astronomical Society, Chicago, Illinois. +\item Astronomical Society of Germany, Leipzig, Germany. +\item Gesellschaft Urania, Berlin, Germany. +\item National Academy of Sciences, Washington, District of Columbia. +\item Smithsonian Institution, Washington, District of Columbia. +\item California Academy of Sciences, San Francisco, California. +\item Bureau des Longitudes, Paris, France. +\item The Nautical Almanac, London, England. +\item The American Ephemeris, Washington, District of Columbia. +\item Berliner Jahrbuch, Berlin, Germany. +\end{list} +\end{small} + +At a meeting of the Board of Directors held immediately after +the meeting of the Society, the officers of the Society for the ensuing +year were elected. (For list of officers see below.) Mr.\ \textsc{William +Alvord} was elected to life membership. The Secretaries were instructed +to correspond with the members of the Society, with a view +to ascertain what instruments were in their possession, etc. + +\ThoughtBreak + +\nbsectionheading{OFFICERS OF THE SOCIETY.} +\addcontentsline{toc}{section}{Officers of the Society} + +\noindent +\begin{tabular*}{\textwidth}{@{\extracolsep{\fill}}lcr} +EDWARD S. HOLDEN (Lick Observatory), +&& \textsc{President}\\ +WM. M. PIERSON (76 Nevada Block, S.~F.), +& \multirow{3}{1em}{\Bigg\}}&\\ +W. H. LOWDEN (213 Sansome Street, S.~F.) +&& \textsc{Vice-Presidents}\\ +FRANK SOULÉ (Students' Observatory, Berkeley),&&\\ +CHAS. BURCKHALTER (Chabot Observatory, Oakland), +&\multirow{2}{1em}{\Big\}} +&\multirow{2}*{\textsc{Secretaries}}\\ +J. M. SCHAEBERLE (Lick Observatory),&&\\ +E. J. MOLERA (850 Van Ness Avenue, S.~F.), +&& \textsc{Treasurer} +\end{tabular*} + +\compactlisttwo +\item[] \textit{Finance Committee}---\textsc{W.\ C.\ Gibbs, Wm.\ M.\ Pierson, E.\ J.\ Molera}. +\item[] \textit{Board of Directors}---Messrs.\ \textsc{Alvord, Boericke, Burckhalter, Gibbs, +Grant, Holden, Lowden, Molera, Pierson, Schaeberle, Soulé}. +\item[] \textit{Committee on Publication}---Messrs.\ \textsc{Dewey, Treat, Ziel}. +\end{list} + +\ThoughtBreak + +\nbsectionheading{NOTICE.} +\addcontentsline{toc}{section}{Notice to Members} + +Members are requested to preserve the copies of the \textit{Publications} of the +Society as sent to them. At certain intervals a title page and +index of the preceding numbers will also be sent to the members, who +can then bind the numbers together into a volume. + +The titles of papers for reading should be communicated to either of the +Secretaries as early as possible. + +Those members who propose to attend any or all of the meetings +at Mount Hamilton during the summer should communicate with Mr.\ \textsc{Burckhalter} +without delay, in order that arrangements may be made +for transportation, lodging, etc. +%-----File: 023.png----- +%[Blank Page] +%-----File: 024.png----- +\clearpage % if this was twoside we would need to clear to verso here +\nbchaptertoc{No.\ 3. (July~27, 1889).} + +\begin{center}\Large Plate I\end{center} +\addcontentsline{toc}{section}{Plate of the Helical Nebulć} + +\begin{center} +\begin{tabular}{c@{\hspace{2cm}}c} + \includegraphics{images/fig1.jpg}&\includegraphics{images/fig2.jpg}\\ + {Fig. 1.} & {Fig. 2. The Type-Helix,}\\ + & {(a) direct; (b) reversed.}\\ + &\\ + \multicolumn{2}{c}{\includegraphics{images/fig3.jpg}}\\ + \multicolumn{2}{c}{Fig. 3.} +\end{tabular} +\end{center} + +%-----File: 025.png----- + +\nbchapterheading +\nbchapterbanner{No.\ 3.}{San Francisco, California, July~27, 1889.} + +\nbsectionheading{ON THE HELICAL NEBULĆ.} +\addcontentsline{toc}{section}{On the Helical Nebulć. By \textsc{Edward S. Holden}} +\nbsubsubsectionheading{\shortrule\\* +\textsc{By Edward S. Holden.}\\* +\shortrule} + +The discovery of the helical appearance of the planetary nebula +H.~iv.~37 (G.~C. 4373) at this Observatory in +1888\footnote{ + \textit{See Monthly Notices} R.~A.~S. vol.~48, p.~388.} +naturally led +to the search for a method which might enable +one, in some cases at least, to determine the actual situation of +the different branches of a nebula in space of three dimensions +from the data afforded by the projection of these branches upon +the background of the sky. In general, this problem is hopelessly +insoluble by our present means. + +I have, however, obtained some interesting results for one class +of nebulć at least, and perhaps the method employed is capable of +wider application. + +To understand the method, let us consider how it is that +we see a nebula (Plate~I, Figure~1). The only data that we +have are the outlines $a$ of a drawing of the nebula as it is +seen projected against the sky. We must conceive the curve $a$ +to be the base of a cylinder, A, whose elements are straight +lines (rays of light) extending from the projection $a$ to the eye +at A\@. If the curve $a$ is complicated and involved, so will also +be the surface of the cylinder A\@. Any curve whatever which +is drawn on the surface of the cylinder (as $\alpha'$, $\alpha''$,) will be projected +into the same curve $a$ on the sky; so that the real nebula +in space may be any one of the infinite number of curves +which can be drawn on the surface of this particular cylinder; +for any such curve will be projected into the curve $a$. +This is true for any and every nebula, as $\beta$, $b$; $\gamma$, $c$; $\delta$, $d$, +etc., etc. The only thing we really know about the form +of a nebula, in general, is that it is projected into a certain +shape, as $a$, or $b$, or $c$, or $d$. The problem is to find the true +%-----File: 026.png----- +curves, $\alpha$, $\beta$, $\gamma$, $\delta$, in space, knowing only the projected curves +$a$, $b$, $c$, $d$. + +In order to fix the ideas, let us think of the elongated strings of +nebulosity which form the spiral nebulć. + +Before going further, it is necessary to remark that the data +(the curves $a$, $b$, $c$, $d$) are at present to be obtained only from +drawings, and hence they are affected by various classes of errors, +due to imperfect telescopic, visual and artistic powers. Photographs +of nebulć are subject to a different and less hurtful class +of errors, and they are free from personality. When the great +telescope is again in a position to photograph the nebulć, I shall +hope to resume this research with better data. For the present +I shall take the drawings of Lord~\textsc{Rosse}, of \textsc{Lassell}, and others, +as the best available, and shall not concern myself with any errors +remaining in them, but shall treat them as correct, since they are +the best we have. + +To resume consideration of the special problem in hand, let +us again examine Figure~1. The only thing we know about the +nebula in space is that its projection on the sky is $a$. Any curve +on the cylinder A \emph{may be} the true shape of the nebula itself. It +is the same for another nebula, $b$, whose curve $b$ is usually different +from that of $a$. \emph{Any} curve on the surface of B will be projected +into $b$. In general, the shapes of the two cylinders are so utterly +different that no two identical curves, $\alpha'$, $\beta'$, can be drawn on their +surfaces. + +Now, if we should find a pair of curves, $a$, $b$, whose cylinders, +A, B, are of such a shape that the same curve \emph{can} be drawn on +their surfaces, then there is a certain probability that this identical +curve is, in fact, the true shape of each nebula in space. If, again, +we can find another nebula, $c$, whose cylinder, C, is so similar to +that of $a$ that like curves can be drawn on the three surfaces, +A, B, C, then there is a still greater probability that the identical +curve on the three surfaces, A, B, C, is, in fact, the true shape +of these three nebulć, $a$, $b$, $c$, in space. If we find another nebula, +$d$, whose cylinder, D, is of such a shape that we can also draw +the same curve on \emph{its} surface, there is a much higher probability +that this one curve really represents the true shape of all four +nebulć, $a$, $b$, $c$, $d$, in space. + +As we get more and more examples, all fulfilling the same +condition, the probability that we have obtained the true shape +of the nebulous form in space is very rapidly increased; and +%-----File: 027.png----- +by finding enough examples we may increase the probability +to essential certainty; and still more so, if one curve, and +only one, can be found which is common to all the projecting +cylinders. + +We may attack this problem practically, by seeking through +trails for a single curve, $\Phi$, which by projection at various angles +and in various positions will give all the differing curves, $a$, $b$, +$c$, $d$, $e$, $\ldots z$. If such a curve can be found (by trial), and if +only one such curve can be found, it will become more and +more probable that $\Phi$ is, in fact, the true curve of each nebula, +$\alpha$, $\beta$, $\gamma$, $\delta$, $\ldots \omega$, in proportion as more and more curves, +$a$, $b$, $c$, $d, \ldots$ accurately correspond to the different projections +of this type curve, $\Phi$. The idea of such types has been +suggested to me by observations of nebulć with the great telescope, +and I have partially discussed it in \textit{Himmel und Erde}, for +June, 1889, page~503 \textit{et seq.} + +I proceed to give what seems to be the type curve of a certain +family of spiral nebulć. The accompanying Figure~2 shows several +representations of a helix of wire, which I have found by trial to be +capable of being projected into the shape of each one of the following +nebulć. Figure~2 also gives a scale photographed at the same time +as the wire model. The diameter of the smallest circle of the scale +is one inch, and the circles are successively $\frac{1}{10}$ of an inch greater in +diameter. One inch is also marked near each of the vertical projections. + +I give in Figure~3 a selection from projections of the type-helix +of Figure~2, which were made by placing the wire model in a +beam of parallel rays and tracing its shadow on a plane. Most +of the comparisons of drawings of nebulć with the type-helix +have been made by placing the eye vertically over the plane of +the paper and by moving the wire helix (its origin nearly always +touching the paper in the nucleus of the nebula) until the projection +of the helix accurately covered the drawing of the nebula. +Usually the model must be applied $n$ different times for a nebula +with $n$ branches. I have found no case in which this helix +will fit one branch of a nebula without fitting every other branch +also. + +I give in what follows a few comparisons of this type-helix with +drawings of nebulć, and I begin with the admirable series of drawings +given by \textsc{Mr.\ Lassell} in \textit{Mem.}\ R.~A.~S., vol.~36: +%-----File: 028.png----- +\begin{tablesetup} +\renewcommand{\tabularxcolumn}[1]{>{\hangindent1em\relax}p{#1}} +\begin{tabularx}{\textwidth}{p{4.5em} | p{4.5em} | X} +\hline\hline +& & \\ +\centering\textsc{Lassell's Figure} & \multirow{2}{*}{\centering G.~C.~No.} & \multirow{2}{11.0cm}{\centering \textsc{Remarks.}}\\ +& & \\ +\hline + & & \\ +\centering 2 & \hfill 600 & The outlines of this nebula have been exactly +reproduced (in our Fig.~3, No.~1). [The axis of the type-helix is +in position angle 280°, and altitude above paper 70° to 75°.]\\ + +\centering 3 & \hfill 604 & Ditto (when Lassell's figure is reversed).\\ + +\centering 9 & \hfill 1511 & Ditto. (Compare our Fig.~3, No.~3.)\\ + +\centering 12 (a) & \hfill 1861 & Ditto (in our Fig.~3, No.~6); (b) compare the +last drawing of Fig.~2. The nucleus of the nebula is probably due +to +a crossing of two loops of the helix.\\ + +\centering 12 (b) & \hfill 1861 & The outlines can be reproduced. (Compare our Fig.~3, +Nos.~13, 24, 25.)\\ + +\centering 15 & \hfill 2373 & The loop and the following edge of +\textsc{Lassell's} drawing can be +exactly reproduced. (Compare our Fig.~3, Nos.~15, 19.)\\ + +\centering 16 & \hfill 2838 & The axis of the main curve of the drawing has been +exactly +reproduced. (Compare our Fig.~3, No.~20.)\\ + +\centering 17 & \hfill 2890 & Both these figures have been accurately reproduced. Each +branch is a projection of the type-helix. (Compare our +Fig.~3, Nos.~11, 16, 17.) Inner spiral, position angle +120°, altitude of axis 80° to 85°; outer spiral, position +angle 120°, altitude 80°. If we match the inner spiral +and then revolve the type-helix, keeping its axis in the +same plane, about 90° in the direction S W N E the +outer spiral will be matched.\\ + +\centering 27 & \hfill 3572 \linebreak\phantom{1}\hfill M~15 & All the principal branches have been accurately reproduced, +one application of the type-helix for each branch. (Compare +our Fig.~3, Nos.~1, 7, 11, 16, 17.) Inner spiral, +P = 150°, Alt.\ = 85° to 90°; +outer spiral, P = 150°, +Alt. = about 80°. Revolve type-helix +nearly 180° from +the position where it matches the outer spiral in the direction +N W S E, and it will match the inner spiral.\\ + +\centering 28 & \hfill 3606 & When this drawing is reversed the three branches can be +exactly reproduced by three applications of the type-helix. +(Compare our Fig.~3, Nos.~8, 14, 15, 19, 20.) +Is the nucleus due to the crossing of two branches of +the helix?\\ + +\centering 29 & \hfill 3614 & When this is reversed its two branches can be reproduced +by two applications of the type. (Compare our Fig.~3, +Nos.~5, 6, etc.)\\ + +\centering 33 & \hfill 4403 & (The Omega nebula.) The axes of the loop and of the +straight following part can be exactly reproduced. (Compare +our Fig.~3, No.~31.)\\ +& & \\ +\hline +\end{tabularx} + +\bigskip +\parbox{\textwidth}{\indent +N.~B.---Note that the position angle of the axis of the type-helix +is the same for both spirals of G.~C.~2890; and for both spirals +of G.~C.~3572.} +\end{tablesetup} +\medskip +%-----File: 029.png----- + +\noindent +\begin{tablesetup} +\begin{tabular}{@{}c@{}} +\textsc{Comparisons with Lord Rosse's Drawings in the Philosophical +Transactions, 1861.} \\[1em] +\begin{tabularx}{\textwidth}{ p{4.5em} | p{4em} | r@{\textit{h. }} X} +\hline\hline +& & \multicolumn{2}{c}{}\\ +\centering\textsc{Fig.} &\multicolumn{1}{c|}{G.~C.} & \multicolumn{2}{c}{\centering\textsc{Remarks.}}\\ +& & \multicolumn{2}{c}{}\\ +\hline +& & \multicolumn{2}{c}{}\\ +\centering \hspace{6pt}9 & \hspace{6pt}888 & & 327. (Compare our No.~1.\ etc.)\\ + +\centering 10 & \hspace{6pt}532 & & 131. This can be accurately reproduced when it is reversed +and its scale changed suitably.\\ + +\centering 13 & 2053 & & 689. Ditto.\\ + +\centering 15 & 2216--17 & & 765--6. (Compare our Nos.\ 2, 3, 4, 12, 13, 28, 31.)\\ + +\centering 16 & 2377 & & 857. (Compare our Nos.\ 1, 7, 11, 16, 17, etc.)\\ + +\centering 18 & 2670--1 & & 1052--3. (Compare our Nos.\ 2, 3, 12, etc.)\\ + +\centering 19 & 2680 & & 1061. Can be reproduced.\\ + +\centering 21 & 2870 & & 1196. (Compare our Nos.\ 3, 9 (reversed), 12, 29, 30, +etc.)\\ + +\centering 23 & 3341--2 & & 1306--8. (Compare our Nos.\ 5, 6, 21, etc., and 11, etc.)\\ + +\centering 24 & 3085 & & 1337. (Compare Nos.\ 2, 14, twice applied.)\\ + +\centering 25 & 3151 & & 1385. (Compare our Nos.\ 23, 24; and notice the opening +on the lower side of the figure (as in Fig.~23) and the +brightening of the nebula just above this (as in Fig.~23) +where the right-hand hook bends back.)\\ + +\centering 26 & 3189--90 & & 1414--15. (Compare our Nos.\ 5, 6, 21, 29, 30.)\\ + +\centering 28 & 3511 & & 1589. (Compare our Nos.\ 5, 6, etc.)\\ + +\centering 29 & 3615 & & 1650. (Compare our No.\ 11, reversed.)\\ + +\centering 32 & 4160 & & 1946. (Compare our No.\ 1, etc.)\\ + +\centering 36 & 4594 & & 2084. If this drawing be reversed, each of the four +branches can be accurately represented by projections +of the type-helix. I have made a wire model of this +nebula.\tablenoteasterisk \\ + +\centering 41 & 4971 & & 2245. (Compare our No.\ 1, etc., reversed.) \\ +& & \multicolumn{2}{c}{}\\ +\hline +\end{tabularx} +\end{tabular} +\end{tablesetup} + +\bigskip\vfil + +\begin{footnotesize}* Before the present investigation was begun I succeeded in making a model of this +nebula of four branches, starting on the assumption that each of the four branches was +produced by the projection (at four different angles) of one and the same curve in space. +I finally succeeded in bending a wire so that when it was held in four different positions +(the origin of the helix always touching the nucleus), the four projections accurately +covered the four branches as they are laid down in the drawing. I then laid this model to one +side and constructed a type curve from the nebulć G.~C. 600, the great Nebula G.~C. 3572 +(M.~51) and others. This second type curve was then applied (reversed) to the nebula 4594, +and it was found to accurately represent it, and to be the same curve as the one first constructed. +Probably in this case, as in others, the conviction that the real type of the nebula has been +discovered is more strongly brought home to the person who has actually constructed the +models and found them to exactly represent the pictures, than to one who merely reads an account +of how the experiment was conducted. The only ambiguity in my model of this nebula is +due to the fact that it is impossible to decide on which side of the plane of projection any or all +of the branches are situated. We know the real shape of each branch, but we do not know +whether it lies on the hither or on the farther side of the plane of projection. + +\end{footnotesize} +%-----File: 030.png----- + +\noindent +\begin{tablesetup} +\begin{tabular}{@{}c@{}} +\parbox{0.9\textwidth}{\centering + \textsc{Comparison with Lord Rosse's Drawings in the Scientific + Transactions Royal Dublin Society, Vol.~II.}}\\[1em] +\begin{tabularx}{\textwidth}{c r@{.}r | p{4em} | X} +\hline\hline +\multicolumn{3}{c|}{}& & \\ +\multicolumn{3}{c|}{\textsc{Plates.}} +& \multicolumn{1}{c|}{G.~C. \ } & \multicolumn{1}{c}{\textsc{Remarks.}}\\ +\multicolumn{3}{c|}{}& & \\ +\hline +\multicolumn{3}{c|}{}& & \\ +& I & & 1202 & (Compare our Figs.\ 24, 25)??\\ + +& I & & 1267 & (Compare our Figs.\ 14, 15, 19, etc., reversed.)\\ + +& I & & 1519 & This can be accurately reproduced.\\ + +& II & & 1520 & Ditto.\\ + +& III & & 1861--3 & The principal curves in these nebulć, ditto.\\ + +& IV & & 3572 & Ditto.\\ + +& V & & 4561 & (Compare our Figs.\ 9, 10, the middle parts only.)\\ + +& VI & & 4403 & The axes of this can be accurately reproduced. (See our +Fig.~31.)\\ +\multicolumn{3}{c|}{}& & \\ +\hline +\end{tabularx} +\end{tabular} +\end{tablesetup} + +\medskip + +It is unnecessary to give more examples. Indeed, the cases +already given include nearly all the spiral nebulć. Those just +referred to are sufficient to exhibit the whole evidence to any one +who will construct for himself a type curve from the data in Figure +2, and who will go over the comparisons with the plates as above +outlined. The spirals of \textit{Nebula Orionis} are probably of the type just +given, also. The case of the \textit{Omega} nebula (G.~C. 4403) is very +striking. I have also found remarkable analogies in various spiral +streams of stars. + +It may be objected to the suggestions given above that the forms +of the nebulć are so indefinite that a very great latitude is allowed +in matching the drawings with the projections of any particular type +curve. This is undoubtedly true. The only remedy for it is to obtain +better representations of the nebulć themselves by photographic +means. + +A second objection is that Figure 3 shows that a particular spiral, +once assumed, may be projected into many forms, and that these +might be sufficiently varied to be fitted to a comparatively small +number of objects out of the many thousands of known nebulć. To +this it may be said that it is undoubtedly true that the projection of +many different curves can be made to fit a certain number of the +drawings referred to. Still, it appears to me, after trials, that the helix +of Figure 2 comes nearer to being the type curve of the nebulć in +question than any other that I can now construct. It certainly will +need to be corrected, but it seems to be a good first approximation. +%-----File: 031.png----- +The difficulty of improving it can be best appreciated by making +the trial. + +Again, it must be remembered that while there are many thousands +of nebulć, there are only comparatively few spiral nebulć, and +that the type curve fits a very great percentage of these, while it cannot +be tortured into a resemblance to other nebulć not spiral. + +If the helix given in Figure 2 is indeed the type of a certain +class of nebulć, many interesting questions may receive a solution. +For example, what are the directions in space of the \emph{axes} of these +different nebulć? Is there anything systematic in these directions? +What is the law of the force by which particles of matter are expelled +from (or attracted to?) the central nucleus? Have we here in the +nebulć different types of spirals somewhat analogous to the different +types of comets' tails so ably discussed by Professor \textsc{Bredichin}? + +Some of the parts of these nebulć must be approaching the +earth, some receding from it. Can we by the spectroscope discriminate +between such motions? + +\filbreak +A suggestion which holds out even the hope of successfully +attacking such problems is not without its value, and I have, therefore, +no hesitation in presenting the foregoing paper in its present +incomplete form. +\begin{flushright} +\textsc{Edward S. Holden.} +\end{flushright} +\textsc{Lick Observatory}, July~12, 1889. + +\ThoughtBreakLong +\bigskip + +\nbsectionheading{ON THE ORBIT OF COMET BARNARD (1889, \textsc{June} 23).} +\addcontentsline{toc}{section}{On the Orbit of Comet Barnard (1889, June~23). By \textsc{A. O. Leuschner}} + +\nbsubsubsectionheading{\shortrule\\* +\textsc{By A.~O. Leuschner.}\\* +\shortrule} + +From Mr.\ \textsc{Barnard's} observations of June 23, 24, 25, I have +deduced the following elements: +\[ +\begin{array}{l} +\quad T = 1889, \textrm{ June~20. 1480 G.~m.~t.}\\ +\;\; \left. +\begin{array}{r@{\;}l} + \Omega &= 271°\, \phantom{0}4'.1 \\ + \omega &= \phantom{0}59°\, 20'.7\\ + i &= \phantom{0}31°\, 14'.6 +\end{array} +\right\} 1889.0\\ + \log q = 0.04236 +\end{array} +\] + +Obsd.---Computed; $\Delta\lambda \cos \beta = -0'.3, \Delta\beta = 0'.0$. + +\ThoughtBreakLong +\bigskip + +%-----File: 032.png----- +\nbsubsubsectionheading + {[\textsc{Abstract}.]} +\nbsectionheading{ON THE OCCULTATIONS OF JUPITER (\begin{small}VISIBLE IN\end{small} 1889); +AND ON THE ECLIPSES OF SATELLITE IV.} +\addcontentsline{toc}{section}{On the Occultations of Jupiter (visible in 1889) and on the Eclipses of Satellite IV\@. By \textsc{Charles B. Hill}} + +\nbsubsubsectionheading{\shortrule\\* +\textsc{By Charles B. Hill.}\\* +\shortrule} + +Mr.\ \textsc{Hill} spoke of the various phenomena of \textit{Jupiter's} satellites, +etc., of special interest, and called the attention of members especially +to +\nbsubsubsectionheading +{\textit{The Eclipse (reappearance) of Satellite IV:}} +\noindent1889, August~18, at 8h.\ 37m., P.~s.~t.; and to +\nbsubsubsectionheading +{\textit{The Occultation of Jupiter by the Moon:}} +\noindent +\begin{tabular}{@{} l@{}l@{ }r@{ }c@{ }c@{ }c} +1889, Sept.~3---& \textit{Immersion}, & I & contact, & 5h.\ 32.5m., & P.~s.~t.\\ + & & II & `` & 5h.\ 34.5m., & ``\\ + & \textit{Emersion}, & III & `` & 6h.\ 26.0m., & ``\\ + & & IV & `` & 6h.\ 28.0m., & ``\\ + +&\multicolumn{5}{@{}l}{ + \begin{tabular}{@{} *{4}{c@{ }} l@{ }l} + Angle & from & North & Point, & Imm. & = 149°\\ + `` & `` & `` & `` & Emer. & = 234° + \end{tabular} } +\end{tabular} +\medskip + +The above prediction is based on an approximate (graphical) +computation for the position of Mt.\ Hamilton. The occultation will +be visible in the United States generally. In California it will take +place shortly before sunset, the moon being one day past \textit{First +Quarter}. + +\ThoughtBreakLong +\medskip + +\nbsubsubsectionheading + {[\textsc{Abstract}.]} +\nbsectionheading{ON PHOTOGRAPHING THE CORONA IN FULL SUNSHINE; +AND ON PHOTOGRAPHS OF THE MOON IN THE DAYTIME.} +\addcontentsline{toc}{section}{On Photographing the Corona in full Sunshine +and on Photographs of the Moon in the Daytime. By \textsc{James E. Keeler}} + +\nbsubsubsectionheading{\shortrule\\* +\textsc{By J.~E. Keeler.}\\* +\shortrule} + +Mr. \textsc{Keeler} gave a brief account of the attempts that had been +made to see and to photograph the corona in full sunshine, and +spoke of the evidence of the eclipse photographs on the practicability +of the latter experiment. It had been shown by Professor \textsc{Holden} +in the Eclipse Report of 1889 that if the intrinsic brilliancy of the +daylight near the sun was 1000, the intrinsic brilliancy of the daylight +%-----File: 033.png----- +\emph{plus} corona was not above 1002. Hence, to photograph the +corona in full sunshine, we must be able to record a difference of +brilliancy, a contrast, of $\frac{1}{500}$. The eye could detect a contrast of +$\frac{1}{60}$ only, and hence the attempt seemed hopeless, as the rays and +streamers of the corona had a continuous spectrum like that of diffused +daylight. He also exhibited some photographs of the moon +taken in the daytime by Mr.\ \textsc{Burnham}, with a lens of aperture $ = {}^3\!/\!_4$ +inch, focus = 9~inches, stop f$/_{\displaystyle\!44}$, time $\frac{1}{60}$ to $\frac{1}{100}$ of a second. The +moon was more than 120° from the sun at the time. + +Experiments on this matter were recommended to the amateur +photographers of the Society, and it was asked that successful trials +might be communicated to the Lick Observatory. Photographs of +the dark side of the moon before first quarter might be included in +the plan. Each plate exposed should be marked with the observer's +name; the aperture, stop, and plate employed; the hour and minute +of exposure; the length of exposure. + +Mr.\ \textsc{Keeler} exhibited some prints made on ordinary dry plates +and on ortho-chromatic plates, and recommended the attention of +the members of the Society to the excellent results attained by the +use of the latter plates, and suggested a trial of them for pictures of +the moon in the daytime, as the moon was relatively rich in light +of greater wave length than F. + +\bigskip +\ThoughtBreakLong +\bigskip + +\nbsectionheading{NOTICES FROM THE LICK OBSERVATORY.} +\addcontentsline{toc}{section}{\textit{Notices from the Lick Observatory}} + +\nbsubsubsectionheading{\shortrule\\* +{\small \textsc{Prepared by Members of the Staff.}}\\* +\shortrule} + +The desire is expressed, on many sides, that the Publications of +the Society should contain brief notices of the work current at the +Lick Observatory, because much of this work is necessarily published +in Eastern and foreign journals and therefore may escape the attention +of our members. + +Such notices must evidently be of the briefest and most popular +character, and very often can be nothing more than a reference +to the title and place of publication of a paper. Even such references +as these may serve, it is said, to call the attention of our members +to the existence of a paper which may be of interest to several +of them. + +It is therefore proposed, as an experiment merely, to include in +%-----File: 034.png----- +each of our Publications a few pages of items relating to the work +of the Lick Observatory. Should these meet the want which has +been expressed, it will be easy to continue them in the future. In +this way an acquaintance with the work of the Observatory can be +maintained, without taking too much space in the pages of our Publications, +which should be reserved for longer articles by the members +of the Society in general. + +As the Observatory commenced active operations not long before +the foundation of the Society, the present number of the \textit{Notices} may +well be devoted to a list of the mere titles of the different papers, etc., +which have been sent to various scientific journals and magazines +since June~1, 1888, by the members of the Observatory staff. +Articles printed in newspapers, etc., are not included, as these are +generally of transient interest only. This list, then, will bring the +history of the astronomical activity of the Observatory up to the +present time, and leave a clear field for the subsequent numbers of +these \textit{Notices}.\pushright{E.~S.~H.} + +\ThoughtBreak* +\bigskip + +\nbsubsectionheading{Photograph of the Davidson Comet.} +\addcontentsline{toc}{subsection}{\qquad Photographs of the Davidson Comet. By \textsc{E. S. Holden}} + +The comet discovered by Mr.\ \textsc{Davidson} at Queensland, on July +21, was photographed at the Observatory by Mr.\ \textsc{Barnard}, with the +new \textsc{Willard} lens (about 5~inches aperture, 30~inches focus) on +July~30. A Seed~26 plate was used, and an exposure of ninety +minutes was given. The camera was mounted on the top of the +twelve-inch equatorial, and the camera was kept directed at the comet +by moving the slow motion screws in R.~A. and in Dec. As the +comet had a rapid motion in reference to the stars, the latter appeared +as \textit{trails} about $13'$ to $14'$ long. This was the comet's motion +in ninety minutes of time. The head of the comet shows as a neat +round mass. The tail is fan-shaped, with its borders convex to the +axis, and very narrow at the root. It can easily be traced $20'$ and it +is evident for about $53'$. Mr.\ \textsc{Barnard} could trace it no further +than $50'$ or so, with the telescope. After the picture of the comet +was taken, the negative was exposed to the light of our standard +lamp for 1, 5, 10, 15, 20, 25 and 30 seconds, making a series of +squares of standard intensity. (See Lick Observatory Eclipse Report, +page~12.) The night-sky was less intense than the square exposed +one second. The brightest part of the tail of the comet $2'$ or so from +the head matched the standard square exposed ten seconds. Hence +the comet is about nine and one-half times as bright as its background. +%-----File: 035.png----- +Omitting any consideration of the absorption of the atmosphere, +and of the absorption of the lens (as yet undetermined), I +find that the intrinsic brilliancy of this portion of the comet was +0.000,000,15 units of the standard lamp. The full moon has an +intrinsic brilliancy of 1.66 units (\textsc{Pickering}) and the brightest parts +of the corona of January~1, 1889, had an intrinsic brilliancy of 0.08 +units. Hence the comet is 10,000,000 times fainter than the full +moon, area for area; and 500,000 times fainter than the brightest +parts of the corona of last January. According to Mr.\ \textsc{Pickering's} +measures, the intrinsic brilliancy (actinic) of the sky within 5° from +the full moon is 0.000,064 units; and thus the sky near the moon is +400 times brighter than the comet, and more than 4000 times as +bright as the night-sky. These measures relate only to the photographic +brilliancy of the comet. The visual brilliancy would be +much higher relatively, as the observations of Mr.\ \textsc{Keeler} show the +most refrangible end of its spectrum to be very weak. + +The results just given are interesting and important in themselves, +and they also have an historical value; since this is the first occasion +on which the light of a comet has been actually measured with accuracy.\footnote{ +Since the above was written, I have seen a reference to a measure of the light of the comet +of 1881 (?) by \textsc{Janssen} (\textit{Ann.\ Bureau Long.}\ 1882, p.~781), which is stated as 300,000 times +fainter than the full moon. This book is not accessible to me, and I do not know if the brilliancy +was measured, or only inferred from the time of exposure compared with that of the moon.} + +The preceding experiment also suggests various applications. +For example: we may measure the total amount of a comet's light +on various dates, and compare this measured light with the amount +of light reflected to us by the comet from the sun, which latter quantity +can be accurately calculated. Thus, we might find + +\medskip + +\begin{small} +\begin{tabular}{l rrr rrr rrr} +&\multicolumn{3}{r}{\textsc{Jan.~1.}} +&\multicolumn{3}{r}{\textsc{Jan.~2.}} +&\multicolumn{3}{r}{\textsc{Jan.~3, etc.}}\\ +Measured light from the comet &&=& L, &&=& M, &&=& N, etc.\\ +Calculated light from the comet &&=& A, &&=& B, &&=& C, etc.\\ +$\therefore$ Native light of the comet\; +&\multicolumn{3}{r}{$\mathrm{= L - A,}$} +&\multicolumn{3}{r}{$\mathrm{= M - B,}$} +&\multicolumn{3}{r}{$\mathrm{= N - C, etc.}$} +\end{tabular} +\end{small} + +\medskip + +It has long been known that the brilliancy of comets increases +beyond the theoretical amount as they approach the sun, owing to +native light emitted by them under the influence of the sun. It +appears that there is now some hope of tracing such changes of brilliancy +from day to day, by photographic means, and of obtaining in +this way some clue to the energy of the forces which produce these +observed changes.\pushright{E.~S.~H.}\\*[0.5ex] +{\small\indent 1889, July~31.} + +%-----File: 036.png----- + +\nbsubsectionheading{Spectrum of Davidson's Comet.} +\addcontentsline{toc}{subsection}{\qquad Spectrum of Davidson's Comet. By \textsc{James E. Keeler}} + +The spectrum of Davidson's comet was observed here with the +twelve-inch equatorial, on July 31st, and with the thirty-six-inch +equatorial, on August 1st. The \textit{coma} showed a spectrum consisting +of three somewhat diffuse bright bands, which were found to be identical +in position with the carbon fluting given by the blue flame of a +spirit lamp. A faint luminosity connected the bands, so that the +spaces between them were not perfectly dark. + +The nucleus gave a continuous spectrum not extending below +the D line, with slight brightenings at the positions of the carbon +flutings. Such a spectrum would probably be given by the material +of the \textit{coma} at an increased pressure. Although the comet is now +rated at about the sixth magnitude, its spectrum is much fainter than +that of a star of this brightness, on account of the diffusion of its +light over a large area.\pushright{J.~E.~K.}\\*[0.5ex] +{\small\indent Aug.~2, 1889.} + +\nbsubsectionheading{New Double Stars.} +\addcontentsline{toc}{subsection}{\qquad New Double Stars. By \textsc{S. W. Burnham}} + +One of the more recent double-star discoveries with the thirty-six-inch +telescope is a seventh-magnitude star (D.~M. 30°, 4809) near $\eta$ +Pegasi. The measures on three nights give: +\begin{small} +\[ + 1889.55 \qquad 335°.3 \qquad 0''.23 \qquad 7.2 \qquad 8.2 +\] +\end{small} + +The 4--5~m.\ star, \textit{$\psi$ Cassiopeić}, % Transcriber's note; original reads "Cassiopeć" + has been known since the first +\textsc{Herschel} as a triple star, from a small double companion at a distance +of $28''$ from the large star. The Lick telescope shows a small +star of about 13--15~m.\ % Transcriber's note: Original text reads 13--5 m. +% Washington Visual Double Star Catalog, 1996.0 (Worley+, 1996) gives magnitude 14, +% discoverer S.~W.\ Burnham, 1889 +at a distance of $3''.2$ in the direction of 41°.2. + +A careful set of measures of the close pair, \textit{$\kappa$ Pegasi} ($\beta$ 989) +has been made with the thirty-six-inch telescope. The change in +both angle and distance has been very great since its discovery with +the Chicago telescope in 1880. As the distance now is only $0''.14$, +it could hardly be seen, or measured, with any instrument much +smaller than the Lick telescope. The components differ by only +about half a magnitude, and there is a possibility of the wrong +quadrant having been given in my first measures made in 1880, +although at the time this was carefully looked after. Taking the +early measures as they stand, the motion (direct) would be 235° in +nine years. If the first angle should be reversed, the change would +be only 56°. + +There is a small star $11''$ distant, which makes the double, $\Sigma 2824$. +This is fixed with reference to the bright star. +%-----File: 037.png----- + +28 \textit{Andromedć} is also a new double star. The following is the +mean of three nights' measures with the thirty-six-inch refractor: +\begin{small} +\[ + 1889.51 \qquad 360°.1 \qquad 2''.42 \qquad 5.5 \qquad 13.3 +\] +\end{small} + +\textsc{Herschel}, at the Cape of Good Hope, noted a small double star +in the fine cluster and nebula, \textsc{Messier}~8, and entered it as No.\ 5009 +of the Cape Catalogue. The Lick telescope shows that the principal +star of \textsc{Herschel}'s pair is a close pair. The mean of four measures +is:--- +\begin{small} +\[ + 1889.40 \qquad 55°.6 \qquad 0''.63 \qquad 8.7 \qquad 9.5 +\] +\end{small} + +There is probably no change in \textsc{Herschel}'s more distant star. +\begin{tablesetup} +\begin{tabular}{*{5}{r@{.}lc}l} +\multicolumn{3}{c}{ } & \multicolumn{2}{c}{°} && \multicolumn{2}{c}{\raisebox{-0.5ex}{$''$}} \\ +1837&70 &\qquad& 20&8 &\qquad& 2& &\qquad& 10& &\qquad& 12& &\qquad& 1n H \\ +1880&58 && 19&9 && 3&86 && 9&0 && 9&5 && 1n Cin \\ +1889&40 && 23&3 && 4&05 && 8&7 && 9&6 && 4n $\beta$ +\end{tabular} +\end{tablesetup} + +For many years $\Sigma~2438$ has been found to be single with all telescopes. +A recent set of measures with the large refractor of the +Lick Observatory gives for the distance $0''.24$, and the position angle +46°.2. The angle when measured by \textsc{Struve} in 1832 was 340°.6. + +With powers up to 2000, the thirty-six-inch shows the large star +of $\Sigma~3130$ as single. It has not been seen double during the last +thirty years.\pushright{S.~W.~B.} + +\nbsubsectionheading{Meridian Circle Observations of \textit{Victoria} and Comparison +Stars.} +\addcontentsline{toc}{subsection}{\qquad \protect\stretchyspace Meridian Circle Observations of Victoria and Comparison Stars. By \textsc{J.~E. Schaeberle}} + +In connection with astronomers in the northern hemisphere, the +Astronomer Royal at the Cape of Good Hope, Dr.\ \textsc{David Gill}, is +observing the planet \textit{Victoria}, for the determination of its parallax +(and hence of the Solar Parallax). He has requested various observatories +to determine, by meridian observations, the positions of the +planet and of thirty-seven comparison stars. This work has been +done at the Lick Observatory by eighteen nights of observations, between +June~8 and July~8, and the results will soon be ready for publication. +From a series of experiments, it was found that (thanks to +the designer of the large pivots, nearly four inches in diameter) much +better results could be obtained when the observations were made +without clamping the instrument. The clamp was accordingly removed +(some months ago), so that all of the observations referred to +above were made with the nearly counterpoised instrument hanging +freely in the wyes. % OED: "Wyes, the supports of the telescope in the theodolite and level" + That this variation from the usual method is to +be approved, when the proper precautions are taken, seems to be +shown by the smallness of the probable errors of observation, which, +%-----File: 038.png----- +for a single observation in R.~A. and Dec., are about $0^\text{s}.020$ and +$0''.25$ respectively. These figures also show that the \textsc{Repsold} meridian +circle is capable of first-class work, and that the refraction as +given in Vol.~1, \textit{Publications Lick Observatory}, is not very far out of +the way.\pushright{J.~M.~S.} + +\nbsubsectionheading{New Double Stars.} +\addcontentsline{toc}{subsection}{\qquad New Double Stars. By \textsc{E. E. Barnard}} + +I have found the stars, 2~\textit{Piscium} and W~\textsc{xxiii}.803 to be double +with the twelve-inch equatorial. Mr.\ \textsc{Burnham} has kindly measured +these stars with the thirty-six-inch and supplied me with his results +for publication. From the inequality of the components, 2~\textit{Piscium} +is a difficult object with the twelve-inch. + +Following are Mr.\ \textsc{Burnham's} measures.\pushright{E.~E.~B.}\\*[.5ex] +{\small\indent 1889, August~5.} + +\begin{gather*} + \mathit{2~Piscium.} +\\ +\left. \begin{gathered} + \text{22h.~53m.~18s.} \\ 0°~19' +\end{gathered} \right\} +\\ +\begin{array}{r@{} *{2}{r@{.}l@{}c@{}} + r@{.}l@{} c r@{} c@{} r@{.}l@{} l} + \multicolumn{3}{c}{ } +&& \multicolumn{2}{c}{°} +&& \multicolumn{2}{c}{ \raisebox{-0.5ex}{$''$} } +\\ +& 1889&553 &\mbox{\qquad\qquad\quad} +& 96&0 &\mbox{\qquad\qquad} +& 3&87 &\mbox{\qquad\qquad\;} +& 6 &\mbox{\qquad\qquad\quad} +& 14 +\\ +& &556 && 91&8 && 3&88 && 6 && 13&5 \\ +& &589 && 93&1 && 3&68 && 6 && 13&5 \\ +\cline{2-3} \cline{5-6} \cline{8-9} \cline{11-11} \cline {13-14} +& 1889&57 && 93&6 && 3&81 && 6 && 13&7 +\end{array} +\end{gather*} + +\begin{gather*} +\text{W \textsc{xxiii}.803.} +\\ +\left. \begin{gathered} + \text{23h.~40m.~53s.} \\ 4°~35' +\end{gathered} \right\} +\\ +\begin{array}{r@{} *{2}{r@{.}l@{}c@{}} + r@{.}l@{} c r@{} c r@{.}l@{} l} + \multicolumn{3}{c}{ } +&& \multicolumn{2}{c}{°} +&& \multicolumn{2}{c}{ \raisebox{-0.5ex}{$''$} } +\\ +& 1889&553 &\mbox{\qquad\qquad} +& 166&2 &\mbox{\qquad\qquad} +& 0&49 &\mbox{\qquad\qquad} +& 8.7 &\mbox{\qquad\qquad} +& 8&7 +\\ +& &556 && 166&5 && 0&59 && 8.6 && 8&6 \\ +& &589 && 166&0 && 0&53 && 8.5 && 8&5 \\ +\cline{2-3} \cline{5-6} \cline{8-9} \cline{11-11} \cline {13-14} +& 1889&57 && 166&2 && 0&54 && 8.6 && 8&6 +\end{array} +\end{gather*} + +\bigskip + +\nbsubsectionheading{List of the Articles, Etc., Contributed to Scientific and +other Journals by the Astronomers of the Lick Observatory since June~1, 1888.\\*[2ex] +{\footnotesize \textsc{[Compiled by Mr.\ C.~B. Hill.]}}} +\addcontentsline{toc}{subsection}{\qquad List of the Articles, etc., contributed to Scientific and other Journals by the Astronomers of the Lick Observatory since June~1, 1888. Compiled by \textsc{Charles B. Hill}} + +\nbsubsubsectionheading{\textit{Writings of Edward S.\ Holden.}} + +\compactlisttwo +\item[] +Hand-Book of the Lick Observatory. San Francisco, June, 1888. +32\textsuperscript{o}, pp.~135. % transcriber's note: original appears to read "32°" +\item[] +Stellar Photography.---\textit{Overland Monthly}, June, 1888. +\item[] +Note on Earthquake Intensity in San Francisco, 1808--1888.---\textit{American +Journal of Science}, June, 1888. +\item[] +The Total Solar Eclipse of 1889, January 1st, in California.---\textit{Monthly +Notices Royal Astronomical Society}, vol.~48. +%-----File: 039.png----- +\item[] +Occultation of 47 Librć by Jupiter, June~9, 1888.---\textit{Astronomical +Journal}, vol.~8, p.~64. +\item[] +The Ring Nebula in Lyra.---\textit{Monthly Notices Royal Astronomical +Society}, vol.~48, p.~383. +\item[] +Regarding Sir W. Herschel's observations of Volcanoes in the Moon. +\textit{The Observatory}, 1888, p.~334. +\item[] +Earthquakes in California, Washington and Oregon, 1769--1888. +Communicated to the \textit{California Academy of Sciences} in July, 1888. +\item[] +Sidereal Astronomy, Old and New. 2~papers.---\textit{The Century} for +August and September, 1888. +\item[] +Occultation of a Star (11th magnitude) by Mars.---\textit{Astronomical +Journal}, vol.~8, p.~102. +\item[] +Observations of the Lunar Eclipse of July~22, 1888, at the Lick Observatory +of the University of California. Communicated to the +\textit{National Academy of Sciences}. [By all the astronomers]. +\item[] +Suggestions for Observing the Total Eclipse of the Sun on January~1, +1889. (Printed by Authority of the Regents of the University of +California). State Printing Office, Sacramento, 1888. 8vo, pamphlet. +\item[] +Hypothetical Parallax of Binary Pairs.---\textit{Sidereal Messenger}, October, +1888, p.~356. +\item[] +Physical Observations of Mars during the Opposition of 1888, at the +Lick Observatory. (With a plate).---\textit{Astronomical Journal}, vol.~8, +p.~97. +\item[] +The Same.---\textit{Journal of Liverpool Astronomical Society}, vol.~7, +November, 1888, p.~7, with plates. +\item[] +Saturn and his Satellites.---\textit{Sidereal Messenger}, January, 1889. +\item[] +Observations of Nebulć at the Lick Observatory (by E.~S. Holden +and J.~M. Schaeberle).---\textit{Monthly Notices Royal Astronomical +Society}, vol.~48 (1888) p.~388. +\item[] +The Lick Observatory.---\textit{The Universal Review} (London), February +15, 1889, (illustrated). +\item[] +Earthquakes in California (1888).---\textit{American Journal of Science}, +May, 1889, p.~392. +\item[] +On the Solar Eclipse of January~1, 1889.---\textit{Observatory}, March, +1889, page~130; May, p.~221. +\item[] +The Lick Observatory.---\textit{Himmel und Erde} (Berlin; illustrated), +May and June, 1889. +\item[] +On the Photographs of the Corona at the Solar Eclipse of January,~1, +1889.---\textit{Monthly Notices Royal Astronomical Society}, vol.~49, +p.~343. +\item[] +Reported Changes in the Rings of Saturn. (Observations by E.~S. +Holden, J.~M. Schaeberle, J.~E. Keeler, E.~E. Barnard.)---\textit{Astronomical +Journal}, vol.~8, p.~180. +%-----File: 040.png----- +\item[] +Occultation of the Planet Jupiter, as observed at the Lick Observatory, +March~23, 1889. (Observations by J.~E. Keeler, E.~E. Barnard, +C.~B. Hill, A.~O. Leuschner.)---\textit{Sidereal Messenger}, May, 1889, +p.~221. +\item[] +Address before the Astronomical Society of the Pacific ``On the Work +of an Astronomical Society.''---\textit{Publications Astronomical Society +of the Pacific}, No.~2, March~30, 1889. +\item[] +Reports on the Observations of the Total Solar Eclipse of January~1, +1889. Published by the Lick Observatory, 8vo. +\item[] +Great Telescopes and their Work.---\textit{Observatory}, March, 1889, p.~138. +\item[] +Recent Discoveries in the Nebulć by means of Photography.---\textit{Scientific +American}, July~27, 1889. +\item[] +On the Helical Nebulć.---\textit{Publications Astronomical Society of the +Pacific}, No.~3, July~27, 1889. Die Helikalischen Nebel.---\textit{Himmel +und Erde}. +\item[] +Astronomical Photography.---\textit{The Pacific Review}, September, 1889. +\end{list} + +\nbsubsubsectionheading{\textit{Writings of S.~W. Burnham.}} +\compactlisttwo +\item[] +Double Star Observations made at the Lick Observatory.---\textit{Astronomische +Nachrichten}, No.\ 2875. +\item[] +New Double Stars Discovered at the Lick Observatory.---\textit{Astronomical +Journal}, vol.~8, p.~141. +\item[] +Companion to Sirius.---\textit{Astronomische Nachrichten}, No.~2884. +\item[] +The Trapezium of Orion.---\textit{Monthly Notices Royal Astronomical +Society}, 1889, vol.~49, p.~352. +\item[] +The Double Star, $\epsilon$~Hydrć.---\textit{Sidereal Messenger}, May, 1889. +\item[] +New Double Star, $\alpha$~Ursć Majoris.---\textit{Astronomische Nachrichten}, +No.~2891. +\item[] +Seventeen Comć Berenices.---\textit{Observatory}, May, 1889, p.~227. +\item[] +Double Star Observations made with the 36-inch refractor of the Lick +Observatory.---\textit{Astro\-nomische Nachrichten}, No.~---. +\item[] +$\eta$~Ophiuchi, $\theta$~Cygni.---\textit{Astronomische Nachrichten}, No.~2912. +\end{list} + +\smallskip + +\nbsubsubsectionheading{\textit{Writings of J.~M. Schaeberle.}} +\compactlisttwo +\item[] +Elements and Ephemeris of Barnard's Comet (e), 1888.---\textit{Astronomical +Journal}, vol.~8, p.~102; \textit{Sidereal Messenger}, October, 1888, +p.~357. Communicated to the \textit{California Academy of Sciences}. +\item[] +Orbit and Proper Motion of 85 Pegasi ($\beta$~733).---\textit{Astronomical +Journal}, vol.~8, p.~129. Communicated to the \textit{California Academy +of Sciences}. +\item[] +Elements and Ephemeris of Barnard's Comet (f), 1888.---\textit{Astronomical +Journal}, vol.~8, p.~144; \textit{Sidereal Messenger}, December, 1888. +Communicated to the \textit{California Academy of Sciences}. +%-----File: 041.png----- +\item[] +Observations of Nebulć at the Lick Observatory (by E.~S. Holden +and J.~M. Schaeberle).---\textit{Monthly Notices Royal Astronomical +Society}, vol.~48 (1888), p.~388. +\item[] +Meridian Observations of Polyhymnia and Harmonia.---\textit{Astronomische +Nachrichten}, No.~2877. +\item[] +Corrections to the Lick Observatory Time Signals for December~30.0, +December~31.0, January~1.0, and January~2.0.---\textit{Astronomical +Journal}, vol.~8, p.~168. +\item[] +Elements and Ephemeris of Barnard's Comet (March~31). Communicated +to the \textit{California Academy of Sciences}; telegraphed to +\textit{Astronomical Journal}, and printed in vol.~8, pp.~183 and 191; +\textit{Astronomische Nachrichten}, No.~2839. See also \textit{Astronomische +Nachrichten}, No.~2903. +\item[] +Reports on the Solar Eclipse of January~1, 1889.---In \textit{Lick Observatory +Reports}, p.~23. +\end{list} + +\nbsubsubsectionheading{\textit{Writings of J.~E. Keeler.}} + +\compactlisttwo +\item[] +The 36-inch Equatorial of the Lick Observatory.---\textit{Scientific American}, +June~16, 1888. +\item[] +Recent Astronomical Work at the Lick Observatory.---\textit{Scientific +American}, November~10, 1888. +\item[] +Observations of the Satellites of Mars.---\textit{Astronomical Journal}, No.~178, +pp.~73--78. +\item[] +The Appearance of Saturn in the 36-inch Equatorial of the Lick +Observatory.---\textit{Ciel et Terre}, No.~21, January, 1889, p.~514. +\item[] +The Outer Ring of Saturn.---\textit{Ciel et Terre}, No.~3, April, 1889. +\textit{Astronomical Journal}, vol.~8, p.~175. +\item[] +Report on the Total Solar Eclipse of January~1, 1889.---In the \textit{Lick +Observatory Report}, p.~31. +\item[] +On the Spectra of Saturn and Uranus.---\textit{Astronomische Nachrichten}, +No.~---. +\end{list} + +\nbsubsubsectionheading{\textit{Writings of E.~E. Barnard.}} +\compactlisttwo +\item[] +Discovery and Observations of a Comet (e~1888).---\textit{Astronomical +Journal}, vol.~8, p.~102; \textit{Astronomische Nachrichten}, No.~2862. +\item[] +Drawings of Comet, 1888, I.---\textit{Astronomische Nachrichten}, No.~2859. +(With a plate.) +\item[] +Discovery of a Comet (f, 1888).---\textit{Astronomical Journal}, vol.~8, p.~128. Communicated to \textit{California Academy of Sciences}. +\item[] +Observations of Olbers' Comet (1887, V).---\textit{Astronomische Nachrichten}, +No.~2861. +\item[] +Discovery and Observations of a Comet (f, 1888).---\textit{Astronomische +Nachrichten}, No.~2871, p.~237; \textit{Astronomical Journal}, vol.~8, +p.~134. +\item[] +Note on the Orbit of Comet (e), 1888.---\textit{Astronomical Journal}, vol.~8, p.~120. +%-----File: 042.png----- +\item[] +On a Search for the Comet reported January~15, 1889, by +\textsc{Mr.\ Brooks}.---\textit{Astronomical +Journal}, vol.~8, p.~168. +\item[] +Partial Eclipse of the Moon, January~16, 1889.---\textit{Sidereal Messenger}, +March 1889, p.~137. +\item[] +Discovery and Observations of Comet Barnard (March~31).---\textit{Astronomical +Journal}, vol.~8, p.~183; \textit{Astronomische Nachrichten}, No.\ +2894; \textit{Astronomical Journal}, vol.~9, p.~5; \textit{Astronomische Nachrichten}, +No.\ 2899; \textit{Astronomische Nachrichten}, No.\ 2901. +\item[] +Report on the Total Eclipse of January~1, 1889.---In the \textit{Lick Observatory +Report}, p.~56. +\item[] +Observations of Faye's Comet.---\textit{Astronomische Nachrichten}, No.\ ---; +\textit{Astronomical Journal}, vol.~9, p.~29. +\item[] +Anomalous Tail of Comet I, 1889.---\textit{Astronomical Journal}, vol.~9, +p.~32; \textit{Astronomische Nachrichten}, No.\ 2906. +\item[] +The Nebula G.~C. 2091.---\textit{Monthly Notices Royal Astronomical +Society}, vol.~49, p.~418. +\item[] +The Cluster G.~C. 1420, and the Nebula N.~G.~C. 2237. \textit{Astronomische +Nachrichten}, No.\ ---. +\item[] +Discovery and Observations of a Comet (June~23).---\textit{Astronomische +Nachrichten}, No.\ 2906; \textit{Astronomical Journal}, vol.~9, p.~47. +\end{list} + +\nbsubsubsectionheading{\textit{Writings of C.~B. Hill.}} + +\compactlisttwo +\item[] +Observations of Comet, 1888, I.---\textit{Astronomische Nachrichten}, +No.\ 2877. +\item[] +Report on the Total Solar Eclipse of January~1, 1889.---In \textit{Lick +Observatory Report}, p.~74. +\end{list} + +\nbsubsubsectionheading{\textit{Writings of A.~O. Leuschner.}} + +\compactlisttwo +\item[] +Bahn des Cometen Barnard (Marz 31) aus Beobachtungen mit eintaegigen +Zwischenzeiten nach v.\ Oppolzer's Methode.---\textit{Astro\-nom\-ische +Nachrichten}, No.\ 2907. +\item[] +Reports on the Total Eclipse of January~1, 1889---In the \textit{Lick Observatory +Report}, p.~81. +\item[] +Orbit of Comet Barnard (1889, June~23).---\textit{Astronomische Nachrichten}, +No.\ 2909; \textit{Astronomical Journal}, vol.~9, p.~40; \textit{Publications +of the Astronomical Society of the Pacific}, No.~3. +\end{list} +\clearpage +%-----File: 043.png----- + +\nbsectionheading{\textsc{Minutes of the Meeting of the Board of Directors, held +July~27, 1889, at the Lick Observatory.}} +\addcontentsline{toc}{section}{Minutes of the Meeting of the Board of Directors, held July~27, 1889} + +\begin{small} +A quorum was present. + +The Committee on the Diploma was authorized to expend not to exceed \$50. + +It was \textit{Resolved}, That the \textsc{Publications of the Astronomical Society +of the Pacific} be regularly sent to the following Observatories, etc., and that +the Secretaries of the Society be instructed to notify them of this resolution, and to +request that they exchange their publications with our own; and that the list of +these Corresponding Societies and Observatories be printed in the \textsc{Publications +of the Astronomical Society of the Pacific}: + +\addcontentsline{toc}{subsection}{\qquad List of Corresponding Observatories, Academies of Science, etc.} +\compactlist +\item[] Dudley Observatory, Albany, New York. +\item[] Detroit Observatory, Ann Arbor, Michigan. +\item[] Royal Observatory, Berlin, Germany. +\item[] University Observatory, Bonn, Germany. +\item[] Royal Observatory, Brussels, Belgium. +\item[] University Observatory, Cambridge, England. +\item[] Harvard College Observatory, Cambridge, Massachusetts. +\item[] Royal Observatory, Capetown, Africa. +\item[] University Observatory, Cincinnati, Ohio. +\item[] University Observatory, Dorpat, Russia. +\item[] Royal Observatory, Greenwich, England. +\item[] Ducal Observatory, Karlsrühe, Germany. +\item[] University Observatory, Kasan, Russia. +\item[] University Observatory, Koenigsberg, Prussia. +\item[] Royal Observatory, Kopenhagen, Denmark. +\item[] University Observatory, Leiden, Holland. +\item[] University Observatory, Leipzig, Germany. +\item[] Royal Observatory, Milan, Italy. +\item[] Observatory, Melbourne, Australia. +\item[] University Observatory, Moscow, Russia. +\item[] Lick Observatory, Mount Hamilton, California. +\item[] Royal Observatory, Munich, Germany. +\item[] Carleton College Observatory, Northfield, Minnesota. +\item[] Radcliffe Observatory, Oxford, England. +\item[] Savilian Observatory, Oxford, England. +\item[] National Observatory, Paris, France. +\item[] Astrophysikalishes Institut, Potsdam, Germany. +\item[] Imperial Observatory, Pulkowa, Russia. +\item[] Observatory of the Roman College, Rome, Italy. +\item[] University Observatory, Stockholm, Sweden. +\item[] University Observatory, Strassburg, Germany. +\item[] McCormick Observatory, University of Virginia, Virginia. +\item[] Naval Observatory, Washington, District of Columbia. +\item[] Imperial Observatory, Vienna, Austro-Hungary. +\item[] Royal Astronomical Society, London, England. +\item[] Liverpool Astronomical Society, Liverpool, England. +\item[] Astronomical Society of France, Paris, France. +\item[] Astronomical Society, Chicago, Illinois. +\item[] Astronomical Society of Germany, Leipzig, Germany. +\item[] Gesellschaft Urania, Berlin, Germany. +\item[] National Academy of Sciences, Washington, District of Columbia. +\item[] Smithsonian Institution, Washington, District of Columbia. +\item[] California Academy of Sciences, San Francisco, California. +\item[] Bureau des Longitudes, Paris, France. +\item[] The Nautical Almanac, London, England. +\item[] The American Ephemeris, Washington, District of Columbia. +\item[] Berliner Jahrbuch, Berlin, Germany. +\item[] Library of the Mechanics Institute, San Francisco, California. +\item[] Library of Congress, Washington, District of Columbia. +\item[] Mercantile Library, San Francisco, California. +%-----File: 044.png----- +\item[] Library of the University of California, Berkeley, California. +\item[] Chabot Observatory, Oakland, California. +\item[] Royal Observatory, Edinburgh, Scotland. +\item[] University Observatory, Cambridge, England. +\item[] Observatory, Nice, France. +\item[] Observatory, Marseilles, France. +\item[] Observatory, Bordeaux, France. +\item[] Observatory, Lyons, France. +\item[] Observatory, Toulouse, France. +\item[] Observatory, Kiel, Germany. +\item[] Observatory, Gotha, Germany. +\item[] Observatory, Hamburg, Germany. +\item[] Observatory of Geneva, Switzerland. +\item[] Observatory of Zurich, Switzerland. +\item[] Observatory of Berne, Switzerland. +\item[] Observatory of Neuchâtel, Switzerland. +\item[] Observatory of Madrid, Spain. +\item[] Observatory of Lisbon, Portugal. +\item[] Observatory of Naples, Italy. +\item[] Observatory of Palermo, Italy. +\item[] Observatory of Upsala, Sweden. +\item[] Observatory of Lund, Sweden. +\item[] Observatory of Christiania, Sweden. +\item[] Observatory of Helsingfors, Russia. +\item[] Observatory of Tacubaya, Mexico. +\item[] Observatory of Cordoba, Argentine Republic. +\item[] Observatory of Rio Janeiro, Brazil. +\item[] Observatory of Santiago, Chile. +\item[] Observatory of Madras, India. +\item[] Observatory of Sydney, New South Wales. +\item[] Observatory of Amherst College, Massachusetts. +\item[] Observatory of Clinton, New York. +\item[] Observatory of Georgetown, District of Columbia. +\item[] Observatory of Glasgow, Missouri. +\item[] Observatory of Hanover, New Hampshire. +\item[] Washburn Observatory, Madison, Wisconsin. +\item[] Winchester Observatory, New Haven, Connecticut. +\item[] Halstead Observatory, Princeton, New Jersey. +\item[] La Plata Observatory, La Plata, Argentine Republic. +\item[] Williams College Observatory, Williamstown, Massachusetts. +\item[] University Observatory, Tokio, Japan. +\end{list} + +\bigskip + +\addcontentsline{toc}{subsection}{\qquad Action regarding the Comet Medal} + +{\stretchyspace Mr.\ \textsc{Holden} presented to the Board of Directors a communication from +Hon.\ \textsc{Joseph A. Donohoe}, of Menlo Park, relating to the establishment of a +comet medal, and it was + +\textit{Resolved}, That the Board of Directors recommends to the Society the acceptance +of Mr.\ \textsc{Donohoe's} generous gift. + +}\textit{Resolved}, That on the acceptance of the gift by the Society, Mr.\ \textsc{Donohoe's} +name be placed on the roll of Life-Members; that the \textit{Donohoe Fund for the +maintenance of the Comet Medal of the Astronomical Society of the Pacific} be +placed under the immediate charge of the Finance Committee; and that the +Committee on the Comet Medal shall, until the next annual meeting, or until +their successors are appointed, be composed as follows: + +The Director of the Lick Observatory, \textit{ex officio}, and of Messrs.\ \textsc{Schaeberle} +and \textsc{Burckhalter} on the part of the Society. +\smallskip + +\addcontentsline{toc}{subsection}{\qquad Amendment to Article VII of the By-Laws} +It was \textit{Resolved}, That Article VII of the By-Laws of the Astronomical +Society of the Pacific be amended so as to read as follows: + +\nbsubsubsectionheading{``\textsc{Article VII.}} + +``Candidates for membership may be proposed at any meeting of the Society +and may be elected at the same meeting by unanimous consent of those present. +In case of dissent of any one member, candidates so proposed shall be voted for +at the next succeeding meeting. The vote shall be by ballot, and a majority of +the members present shall be required for an election.'' +\smallskip +%-----File: 045.png----- + +{\stretchyspace +This was adopted by the consenting votes of nine members of the Board of +Directors, namely: Messrs.\ \textsc{Alvord}, \textsc{Burckhalter}, \textsc{Gibbs}, \textsc{Grant}, \textsc{Holden}, +\textsc{Lowden}, \textsc{Molera}, \textsc{Pierson}, \textsc{Schaeberle}, and therefore takes the place of +Article VII in the By-Laws as printed in Publications No.~1. + +}The printing of Publications No.~3 and the preparation of photo-lithographic +plates to illustrate it and Publications No.~4, was ordered. + +The life-members whose names are marked with a star (*) in the list of members +given in full in the minutes of the meeting of the Society July~27, were duly +elected by the Board of Directors. Adjourned. + +\end{small} +\bigskip +\ThoughtBreakLong +\bigskip + +\nbsectionheading{\textsc{Minutes of the Meeting of the Astronomical Society of the +Pacific, held July~27, 1889, at the Lick Observatory}} +\addcontentsline{toc}{section}{Minutes of the Meeting of the Society, July~27, 1889} + +\nbsubsubsectionheading +{\footnotesize \textsc{[Prepared by the Secretaries for Publication.]}} + +\begin{small} +The minutes of the meeting of May~25, 1889, were read and approved. + +Sixty-five persons were elected to membership under the provisions of the +newly adopted Article VII of the By-Laws. For the convenience of the Society +a full list of its present members is given below. This list includes the members +elected at the present meeting. All are active members, except those whose +names are marked with a star (*), to signify that they have been elected to life-membership. + +\medskip + +\nbsubsectionheading{LIST OF MEMBERS, JULY 27, 1889.} +\addcontentsline{toc}{subsection}{\qquad List of Members} + +\begin{longtable}{@{}p{0.37\linewidth}@{} p{0.63\linewidth}@{}} +\multicolumn{1}{c}{\tiny NAME.} & {\qquad\qquad\qquad \tiny ADDRESS.}\\ +T.~P. \textsc{Andrews},\dotfill & 529 Commercial Street, San Francisco, Cal.\\ +Hon.\ \textsc{Henry B. Alvord},*\dotfill & San Jose, Cal.\\ +Hon.\ \textsc{Wm.\ Alvord},*\dotfill & Bank of California, San Francisco, Cal.\\ +Mrs.\ \textsc{Wm.\ Alvord},*\dotfill & Palace Hotel, San Francisco, Cal.\\ +Director \textsc{Angel Anguiano},\dotfill & National Observatory, Tacubaya, Mexico.\\ +Dr.\ \textsc{Wm.\ Boericke},\dotfill & 834 Sutter Street, San Francisco, Cal.\\ +S.~W. \textsc{Burnham},\dotfill & Lick Observatory, Mt.\ Hamilton, Cal.\\ +E.~E. \textsc{Barnard},\dotfill & Lick Observatory, Mt.\ Hamilton, Cal.\\ +\textsc{Chas.\ Burckhalter},\dotfill & Chabot Observatory, Oakland, Cal.\\ +E.~M. \textsc{Bixley},\dotfill & 317 California Street, San Francisco, Cal.\\ +\textsc{John C. Bullock},\dotfill & 1626 Twelfth Street, Oakland, Cal.\\ +D.~P. \textsc{Belknap},\dotfill & 604 Merchant Street, San Francisco, Cal.\\ +Hon.\ \textsc{John H. Boalt},\dotfill & 332 Haight Street, San Francisco, Cal.\\ +H.~F. \textsc{Compton},\dotfill & 966 Chester Street, Oakland, Cal.\\ +Col.\ C.~F. \textsc{Crocker},\dotfill & 4th \& Townsend Streets, San Francisco, Cal.\\ +J.~C. \textsc{Cebrian},\dotfill & Pine \& Octavia Streets, San Francisco, Cal.\\ +J. \textsc{Costa},\dotfill & 406 Montgomery Street, San Francisco, Cal.\\ +E. \textsc{Bentley Church},\dotfill & 1036 Valencia Street, San Francisco, Cal.\\ +\textsc{Chas.\ S. Cushing},\dotfill & 1669 Thirteenth Street, Oakland, Cal.\\ +Dr.\ J. \textsc{Callandreau},\dotfill & 1307 Stockton Street, San Francisco, Cal.\\ +C.~H. \textsc{Clement},\dotfill & Livermore, Cal.\\ +Dr.\ W.~A. \textsc{Dewey},\dotfill & 834 Sutter Street, San Francisco, Cal.\\ +L.~L. \textsc{Dunbar, D.~D.~S.},\dotfill & 500 Sutter Street, San Francisco, Cal.\\ +Hon.\ \textsc{Joseph A. Donohoe},*\dotfill & Menlo Park, Cal.\\ +\textsc{Eugene Frost},\dotfill & Alameda, Cal.\\ +\textsc{Arthur W. Foster},*\dotfill & 322 Pine Street, San Francisco, Cal.\\ +Hon.\ \textsc{James G. Fair},*\dotfill & 230 Montgomery Street, San Francisco, Cal.\\ +T.~W. \textsc{Fenn},\dotfill & 319 California Street, San Francisco, Cal.\\ +\textsc{Andrew B. Forbes},*\dotfill & 401 California Street, San Francisco, Cal.\\ +\textsc{Robert D. Fry},*\dotfill & 1812 Jackson Street, San Francisco, Cal.\\ +\textsc{Chas.\ W. Friend},\dotfill & Carson City, Nevada.\\ +\textsc{Edmund Gray},\dotfill & 2925 Jackson Street, San Francisco, Cal.\\ +Dr.\ C.~L. \textsc{Goddard},\dotfill & 131 Post Street, San Francisco, Cal.\\ +\textsc{Chase Gitchell},\dotfill & 609 Sacramento Street, San Francisco, Cal.\\ +C.~P. \textsc{Grimwood},\dotfill & Fruitvale, Cal.\\ +%-----File: 046.png----- +W.~C. \textsc{Gibbs},\dotfill & 303 California Street, San Francisco, Cal.\\ +C. \textsc{Mitchell Grant},\dotfill & 331 Kearny Street, San Francisco, Cal.\\ +\textsc{Adam Grant},*\dotfill & Bush \& Sansome Streets, San Francisco, Cal.\\ +\textsc{Joseph D. Grant},*\dotfill & Bush \& Sansome Streets, San Francisco, Cal.\\ +Capt.\ \textsc{Charles Goodall},*\dotfill & McAllister \& Pierce Sts., San Francisco, Cal.\label{cor1}\\ % corrected per corrigenda +\textsc{Camilo Gonzalez},\dotfill & National Observatory, Tacubaya, Mexico.\\ +Hon.\ J.~M. \textsc{Gitchell},\dotfill & 609 Sacramento Street, San Francisco, Cal.\\ +C. \textsc{Webb Howard},*\dotfill & Pacific Union Club, San Francisco, Cal.\\ +Prof.\ E.~S. \textsc{Holden},\dotfill & Lick Observatory, Mt.\ Hamilton, Cal.\\ +C.~B. \textsc{Hill},\dotfill & Lick Observatory, Mt.\ Hamilton, Cal.\\ +\textsc{Wm.\ F. Herrick},\dotfill & 439 California Street, San Francisco, Cal.\\ +Dr.\ H.~W. \textsc{Harkness},\dotfill & California Academy of Sciences, \\ + & cor.\ California \& Dupont Sts., San Francisco, Cal.\\ +F.~H. \textsc{Hausman},\dotfill & 328 Montgomery Street, San Francisco, Cal.\\ +Judge S.~G. \textsc{Hillborn},\dotfill & 401 California Street, San Francisco, Cal.\\ +\textsc{Horace L. Hill},*\dotfill & 314 California Street, San Francisco, Cal.\\ % corrected per corrigenda +\textsc{Wm.\ Ireland},\dotfill & 301 California Street, San Francisco, Cal.\\ +J.~R. \textsc{Jarboe},\dotfill & 917 Pine Street, San Francisco, Cal.\\ +P.~R. \textsc{Jarboe},\dotfill & 917 Pine Street, San Francisco, Cal.\\ +E.~B. \textsc{Jordan},\dotfill & 581 Market Street, San Francisco, Cal.\\ +J.~H. \textsc{Johnson},\dotfill & 414 Buchanan Street, San Francisco, Cal.\\ +\textsc{James G. Jones},*\dotfill & Room 61, Flood Building, San Francisco, Cal.\\ +Hon.\ \textsc{John P. Jones},*\dotfill & Gold Hill, Nevada.\\ +Miss \textsc{Fidelia Jewett},\dotfill & San Francisco High School, San Francisco, Cal.\\ +J.~E. \textsc{Keeler},\dotfill & Lick Observatory, Mt.\ Hamilton, Cal.\\ +\textsc{Henry Kahn},\dotfill & 212 Kearny Street, San Francisco, Cal.\\ +O.~V. \textsc{Lange},\dotfill & 1025 Market Street, San Francisco, Cal.\\ +W.~H. \textsc{Lowden},\dotfill & 213 Sansome Street, San Francisco, Cal.\\ +Prof.\ \textsc{John Le Conte},\dotfill & Berkeley, Cal.\\ +A.~O. \textsc{Leuschner},\dotfill & Lick Observatory, Mt.\ Hamilton, Cal.\\ +W.~B. \textsc{Lewitt, M. D.},\dotfill & Cor.\ Hayes \& Laguna Streets, San Francisco, Cal.\\ +\textsc{Joseph G. Lavery},\dotfill & 410 California Street, San Francisco, Cal.\\ +Miss L.~J. \textsc{Martin},\dotfill & San Francisco High School, San Francisco, Cal.\\ +F.~H. \textsc{McConnell},\dotfill & 618 Market Street, San Francisco, Cal.\\ +E.~J. \textsc{Molera},\dotfill & 850 Van Ness Avenue, San Francisco, Cal.\\ +C.~F. \textsc{Montealegre},\dotfill & 230 California Street, San Francisco, Cal.\\ +\textsc{Alexander Montgomery},*\dotfill & N. W. cor.\ Leavenworth \& Vallejo Streets, San Francisco, Cal.\\ +Mrs.\ \textsc{Alexander Montgomery},*\dotfill & N. W. cor.\ Leavenworth \& Vallejo Streets, San Francisco, Cal.\\ +Hon.\ J.~W. \textsc{McClymonds},\dotfill & City Hall, Oakland, Cal.\\ +Hon.\ D.~O. \textsc{Mills},*\dotfill & 224 Montgomery Street, San Francisco, Cal.\\ % corrected per corrigenda +Rev.\ \textsc{Robert Mackenzie},\dotfill & First Presbyterian Church, San Francisco, Cal.\\ +Hon.\ \textsc{Wm.\ Norris},\dotfill & 927 Bush Street, San Francisco, Cal.\\ +Miss \textsc{Rosa O'Halloran},\dotfill & 1511 Clay Street, San Francisco, Cal.\\ +W. \textsc{Letts Oliver},\dotfill & 1110 Twelfth Street, Oakland, Cal.\\ +\textsc{Sam.\ C. Partridge},\dotfill & 529 Commercial Street, San Francisco, Cal.\\ +\textsc{Wm.\ M. Pierson},\dotfill & 76 Nevada Block, San Francisco, Cal.\\ +Hon.\ T. \textsc{Guy Phelps},\dotfill & Belmont, Cal.\\ +Dr.\ S.~C. \textsc{Passavant},\dotfill & 306 Guerrero Street, San Francisco, Cal.\\ +Hon.\ \textsc{Geo.\ C. Perkins},*\dotfill & Oakland, Cal.\\ +\textsc{John Perry, Jr.}\dotfill & Occidental Hotel, San Francisco, Cal.\\ +\textsc{John Partridge},\dotfill & 214 California Street, San Francisco, Cal.\\ +Dr.\ \textsc{Geo.\ C. Pardee},\dotfill & 526 Montgomery Street, San Francisco, Cal.\\ +Seńor \textsc{Manuel G. Prieto},\dotfill & Tacubaya, Mexico.\\ +\textsc{Lawrence H. Pierson},\dotfill & Pacific Pine Lumber Co., San Francisco, Cal.\\ +\textsc{Feodoro Quintano},\dotfill & National Observatory, Tacubaya, Mexico.\\ +\textsc{Alfred P. Redington},\dotfill & 53 Stevenson Street, San Francisco, Cal.\\ +%-----File: 047.png----- +\textsc{Geo.\ W. Reed},\dotfill & 506 Battery Street, care W.~B. Tyler, San Francisco, Cal.\\ +E.~W. \textsc{Runyon},\dotfill & 53 Stevenson Street, San Francisco, Cal.\\ +V.~J.~A. \textsc{Rey},\dotfill & 829 Union Street, San Francisco, Cal.\\ +A.~W. \textsc{Ross, Jr.},\dotfill & 224 California Street, San Francisco, Cal.\\ +Hon.\ \textsc{Arthur Rodgers},\dotfill & Nevada Block, San Francisco, Cal.\\ +Rev.\ J.~L. \textsc{Ricard},\dotfill & Santa Clara, Cal.\\ +\textsc{Lester L. Robinson},*\dotfill & 320 Sansome Street, San Francisco, Cal.\\ +\textsc{Francisco Rodriguez Rey},\dotfill & National Observatory, Tacubaya, Mexico.\\ +\textsc{Albert Raymond},\dotfill & 76 Nevada Block, San Francisco, Cal.\\ +J.~M. \textsc{Schaeberle},\dotfill & Lick Observatory, Mt.\ Hamilton, Cal.\\ +Prof.\ I. \textsc{Stringham},\dotfill & Berkeley, Cal.\\ +Prof.\ F. \textsc{Soulé},\dotfill & Berkeley, Cal.\\ +J.~M. \textsc{Selfridge},\dotfill & Oakland (Box 37), Cal.\\ +\textsc{John R. Spring},*\dotfill & 328 Montgomery Street, San Francisco, Cal.\\ +\textsc{George H. Strong},\dotfill & 220 Market Street, San Francisco, Cal.\\ +M.~J. \textsc{Sullivan, D.~D.~S.},\dotfill & 30 Post Street, San Francisco, Cal.\\ +A.~J. \textsc{Treat},\dotfill & 224 McAllister Street, San Francisco, Cal.\\ +W.~B. \textsc{Tyler},\dotfill & 506 Battery Street, San Francisco, Cal.\\ +\textsc{Edward G. Thomas},\dotfill & 234 Montgomery Street, San Francisco, Cal.\\ +C.~W. \textsc{Tiedeman},\dotfill & 312 Sixth Street, San Francisco, Cal.\\ +Hon.\ \textsc{Alfred L. Tubbs},*\dotfill & 611 Front Street, San Francisco, Cal.\\ +\textsc{Charles R. Tisdale},\dotfill & Alameda, Cal.\\ +\textsc{Jacob Voorsanger},\dotfill & 2316 California Street, San Francisco, Cal.\\ +\textsc{Rudolph E. Voight},\dotfill & 207 California Street, San Francisco, Cal.\\ +Seńor \textsc{Felipe Valle},\dotfill & National Observatory, Tacubaya, Mexico.\\ +Prof.\ J.~T. \textsc{Wallace},\dotfill & Highland Park, Oakland, Cal.\\ +R.~H. \textsc{White},\dotfill & 1216 Haight Street, San Francisco, Cal.\\ +J.~C.~L. \textsc{Wadsworth},\dotfill & Pacific-Union Club, San Francisco, Cal.\\ +\textsc{Charles G. Yale},\dotfill & 220 Market Street, San Francisco, Cal.\\ +F.~R. \textsc{Ziel},\dotfill & 410 California Street, San Francisco, Cal.\\ +\end{longtable} + +The list of presents received was read by the Secretary, and the thanks of +the Society were voted to the donors. It was reported from the Committee on +the Diploma that a design was now preparing and would soon be ready for +examination. Also that designs for the comet medal had been sought for. + +\addcontentsline{toc}{subsection}{\qquad Note regarding Professor \textsc{Tacchini's} Work on the Solar Eclipses of 1870, 1882, 1883, 1886 and 1887} +The attention of the members of the Society was called to the volume +recently published by Professor \textsc{Tacchini}, in which he gives an account of his +expeditions to observe the total solar eclipses of 1870, 1882, 1883, 1886 and 1887, +together with many plates and illustrations. This volume has been prepared by +Professor \textsc{Tacchini}, in order that the proceeds of its sale might be devoted to +the erection of a suitable monument to the noted Italian astronomer, Padre +\textsc{Secchi}. The work can be had through B.~\textsc{Westermann} \& Co. (Box 2306, +New York City), at a cost of about \$2. + +\addcontentsline{toc}{subsection}{\qquad Telegram of Congratulation to Director \textsc{Otto v. Struve}} +It was also \textit{Resolved}, That the Astronomical Society of the Pacific will join +with the Astronomers of the Lick Observatory in sending a telegram of greeting +and congratulation to Director \textsc{Otto v.\ Struve}, on August~19, 1889, the fiftieth +anniversary of the founding of the Pulkowa Observatory and of Director +\textsc{Struve's} official connection with it. + +\addcontentsline{toc}{subsection}{\qquad The Comet Medal of the Astronomical Society of the Pacific founded by Hon.\ \textsc{Joseph A. Donohoe}} +A communication from the Hon.\ \textsc{Joseph A. Donohoe}, of Menlo Park, was +presented to the Society by Mr.\ \textsc{Holden}. In this communication Mr.\ \textsc{Donohoe} +offers to establish a perpetual fund to provide for the bestowal of a medal of +bronze upon the actual discoverer of each new comet according to the provisions +hereafter given. + +Mr.\ \textsc{Donohoe} will provide the necessary dies for the medal, and will present +to the Society ten finished medals, and also an invested fund of \$500 to be known +as the \textit{Donohoe Fund for the Maintenance of the Comet Medal of the Astronomical +Society of the Pacific}. The conditions of the gift follow: + +\end{small} +%-----File: 048.png----- + +\addcontentsline{toc}{subsubsection}{\qquad \qquad Rules governing its bestowal} +\begin{center} +\textsc{Comet Medal of the Astronomical Society of the Pacific.} +\end{center} + +I\@. A medal of bronze is established as a perpetual foundation to +be given for the discovery of comets as follows: + +The medal is to bear on the obverse the effigy of a bright comet +among stars, with the legend ``\textit{Astronomical Society of the Pacific}'' +around the border; and on the reverse the inscription ``\textit{This medal, +founded in 1890 by Joseph A. Donohoe, is presented to} \rule[0.5ex]{1cm}{0.5pt} [the +name of the discoverer] \textit{to commemorate the discovery of a comet} +\rule[0.5ex]{1cm}{0.5pt} [the date].'' + +It is to be understood that this medal is intended solely as a +recognition of merit, and not as a reward. + +II\@. The medal will be given to the actual discoverer of any unexpected +comet, when the discovery is made in the course of regular +astronomical occupations; and to that observer of any telescopic +periodic comet who obtains and promptly publishes the first precise +determination of its position at any one of its expected returns. + +III\@. The discoverer is to make his discovery known in the usual +way; and he must also address a letter, giving his first observation, +to the Director of the Lick Observatory, by the first mail after the +discovery. This letter must state the exact time of the discovery, the +position of the comet, the direction of its motion (when this can be +determined), and the physical appearance of the object. + +If the observations of one night are not sufficient to settle all +these points, the discovery must nevertheless be communicated as +prescribed, and a second letter can be sent, giving the missing items +of information, when they are obtained. The expectation of obtaining +a second observation will never be received as a reason for +postponing the communication of the first one. No application for +the bestowal of the medal is required. The letters received from +discoverers of comets will be preserved in the records of the Lick +Observatory. Cable telegrams to the Lick Observatory are to be +addressed to ``Astronomer, San Francisco.'' + +IV\@. All such communications will be referred to a committee +consisting of the Director of the Lick Observatory, \textit{ex officio}, and of +two other persons, members of the Astronomical Society of the +Pacific, who are to be annually appointed by the Board of Directors. +The decisions of this committee are to be final upon all points +relating to the award of the medal. The committee will print an +annual statement of its operations in the Publications of the Society. + +Under ordinary circumstances the medal for the discovery of a +%-----File: 049.png----- +comet will be awarded within two months after the receipt of the +letter of the discoverer which contains the record of his first observation. +In cases of doubt a longer period may elapse. The medal +will not be awarded (unless under the most exceptional circumstances) +for the discovery of a comet until enough observations are +secured (by the discoverer or by others) to permit the calculation +and the verification of its orbit. + +V\@. This medal is to be a perpetual foundation from and after +January~1, 1890. + +\medskip + +\begin{small} +It was, on the recommendation of Board of Directors, + +\addcontentsline{toc}{subsubsection}{\qquad \qquad Formal Acceptance of the gift of Mr.\ \textsc{Donohoe}} +\textit{Resolved}, That the Astronomical Society of the Pacific accepts the generous +gift of Mr.\ \textsc{Donohoe} under the conditions named by him, and + +\textit{Resolved}, That the Secretaries of the Society be instructed to notify Mr.\ \textsc{Donohoe} +of the acceptance of the Society, and to assure him that his gift is certain +to promote and encourage the discovery and observation of comets, not only +now, but always. + +By a vote of the Directors Mr.\ \textsc{Donohoe's} name has been placed on the roll +of life-members. + +\addcontentsline{toc}{subsection}{\qquad The Lick Observatory Eclipse Expedition (December~21, 1889), sent at the cost of Hon. C.~F. \textsc{Crocker}} +It was also announced to the Society that Hon.\ C.~F. \textsc{Crocker}, a member +of the Society, had generously offered to bear the expense of sending an expedition +from the Lick Observatory to Cayenne, South America, to observe the total +solar eclipse of December~21, 1889. The Regents of the University have authorized +Messrs.\ \textsc{Burnham} and \textsc{Schaeberle} to take part in this work, and to use +such instruments of the Lick Observatory as may be useful. Mr.\ F.~G. \textsc{Blinn}, +of Oakland, and Captain R.~L. \textsc{Phythian}, U.~S. Navy, Superintendent of the +U.~S. Naval Observatory at Washington, have also materially aided the expedition +by the loan of instruments and apparatus. Messrs.\ \textsc{Burnham} and +\textsc{Schaeberle} will probably leave California about November 1st, and arrive +at Cayenne about December~1st, 1889. The eclipse will be observed at Cayenne +by an English party under Rev.\ S.~J. \textsc{Perry}, F.~R.~S., Director of the Stonyhurst +College Observatory, and in Africa by two parties, one under Professor +D.~P. \textsc{Todd}, of Amherst College, the other under Mr.\ \textsc{Taylor}, F.~R.~A.~S., +Assistant in the Private Observatory of Mr.\ A.~A. \textsc{Common}, F.~R.~S., of London. + +Papers were then read to the Society by Mr.\ \textsc{Keeler}, on the photography +of the Corona in full sunshine, etc.; by Mr.\ \textsc{Leuschner}, on the orbit of comet +Barnard (June~23); by Mr.\ \textsc{Hill}, on occultations of \textit{Jupiter} during 1889; by Mr.\ \textsc{Holden}, +on the Helical Nebulć. These papers are printed in full or in abstract +in the preceding pages. + +Mr.\ \textsc{Barnard} exhibited a beautiful negative of a portion of the Milky Way +(R.~A. 18h.\ 11m., Dec., 20° S.) near \textit{Jupiter}, which he took on July~24, with +the Willard photographic lens of the Lick Observatory,\footnote{Bought by Hon.\ C.~F. \textsc{Crocker} for the expedition to observe the eclipse of December +21, 1889.} +giving an exposure +of 1h.\ 48m. + +The Society then adjourned to meet at the Lick Observatory September~28, 1889. +%-----File: 050.png----- + +\nbsectionheading{OFFICERS OF THE SOCIETY} +\addcontentsline{toc}{section}{List of Officers, etc.} +\noindent +\begin{tabular*}{\textwidth}{@{\extracolsep{\fill}}lcr} +\textsc{Edward S. Holden} (Lick Observatory), +&& \textit{President}\\ +\textsc{Wm.~M. Pierson} (76 Nevada Block, S.~F.), +&\multirow{3}{1em}{\Bigg\}}&\\ +\textsc{W.~H. Lowden} (213 Sansome Street, S.~F.) +&& \textit{Vice-Presidents}\\ +\textsc{Frank Soulé} (Students' Observatory, Berkeley),&&\\ +\textsc{Chas. Burckhalter} (Chabot Observatory, Oakland), +&\multirow{2}{1em}{\Big\}} +&\multirow{2}{5em}{\textit{Secretaries}}\\ +\textsc{J.~M. Schaeberle} (Lick Observatory),&&\\ +\textsc{E.~J. Molera} (850 Van Ness Avenue, S.~F.), +&& \textit{Treasurer} +\end{tabular*} + +\compactlisttwo\stretchyspace +\item[] \textit{Board of Directors}---Messrs.\ \textsc{Alvord}, \textsc{Boericke}, \textsc{Burckhalter}, \textsc{Gibbs}, +\textsc{Grant}, \textsc{Holden}, \textsc{Lowden}, \textsc{Molera}, \textsc{Pierson}, \textsc{Schaeberle}, \textsc{Soulé}. +\item[] \textit{Finance Committee}---Messrs.\ \textsc{Gibbs}, \textsc{Pierson}, \textsc{Molera}. +\item[] \textit{Committee on Publication}---Messrs.\ \textsc{Dewey}, \textsc{Treat}, \textsc{Ziel}. +\item[] \textit{Committee on the Comet Medal}---Messrs.\ \textsc{Holden} (\textit{ex officio}), \textsc{Schaeberle}, +\textsc{Burckhalter}. +\end{list} + +\ThoughtBreak + +\nbsectionheading{NOTICE.} + +Members are requested to preserve the copies of the Publications of the +Society as sent to them. At certain intervals a title page and index of the preceding +numbers will also be sent to the members, who can then bind the numbers +together into a volume. + +The titles of papers for reading should be communicated to either of the +Secretaries as early as possible. + +Those members who propose to attend any or all of the meetings at Mount +Hamilton during the summer should communicate with Mr.\ \textsc{Burckhalter}, at +the rooms of the Society, 408 California Street, San Francisco, in order that +arrangements may be made for transportation, lodging, etc. +\vfil +\[ + \includegraphics{images/fig4.jpg} +\] + +\end{small} + +%-----File: 051.png----- + +\nbchapterheading +\nbchapterbanner{No.\ 4.}{San Francisco, California, September~28, 1889.} +\nbchaptertoc{No.\ 4. (September~28, 1889).} + +\nbsectionheading{ON THE PHOTOGRAPHIC BRIGHTNESS OF THE FIXED STARS.} +\addcontentsline{toc}{section}{On the Photographic Brightness of the Fixed Stars. By \textsc{J.~M. Schaeberle}} + +\nbsubsubsectionheading{\shortrule\\* +\textsc{By J.~M. Schaeberle, Astronomer of the Lick Observatory.}\\* +\shortrule} + +The investigations relating to the photographic brightness of the +fixed stars contained in this paper were made with the aid of an +equatorially mounted \textsc{Dallmeyer} portrait-lens of 6\textsuperscript{in}.05 aperture, +loaned to this Observatory by the U.~S.~N. Observatory for the purpose +of photographing the next total solar eclipse at Cayenne, South +America. + +Professor \textsc{Holden} placed this instrument in my charge, and +requested me to make a series of experiments on atmospheric absorption +of the light, and on the photographic brightness, of the fixed +stars, so that the extended work of the same character which it is +intended to execute in South America could be more intelligently +and profitably performed. + +The photographic focus was carefully determined by making +several series of short exposures, and trails, of bright stars both inside +and outside of the adopted position of the plate. The position of +the plate for each setting was read off on a scale which I cut on the +tube. All the exposures were made on $4×5$ Seed~26 plates.\label{cor2} % corrected per corrigenda + +Leaving the work relating to atmospheric absorption to a future +paper, let us consider the subject of the photographic brightness of +stars as determined by the dimensions of their circular images on the +sensitive plate. (As the dimensions---widths---of the trails could only +be accurately determined for the brighter stars, I finally avoided +examining trails for this special investigation.) + +As the whole subject was comparatively new to me, several weeks +were spent in work of an experimental character. A careful study +of the data given on the exposed plate was made with the aid of our +excellent measuring engine. I finally came to the conclusion that +the diameter of the image of an ``over-exposed'' star could be used +%-----File: 052.png----- +to determine the star's brightness with accuracy. To find the law +of variation of the diameter of the photographic image for a variation +of both the aperture of the objective and the time of exposure, seven +different stops, varying in diameter from 5.41 inches to 1.91 inches, +were used, and exposures of 1\textsuperscript{s}, 2\textsuperscript{s}, + 4\textsuperscript{s}, 8\textsuperscript{s}, 16\textsuperscript{s}, + 32\textsuperscript{s}, 64\textsuperscript{s}, and 128\textsuperscript{s} duration +made for each stop. In order to be sure of the effective +aperture of the stops, they were placed centrally in front of the +objective, and not in the usual place between the lenses. The +diameters of these stops, which we will number 1, 2, 3, etc., are as +follows: +\begin{tablesetup} +\begin{tabular}{c | c | c | c | c | c | c | c} +\hline \hline + No. &\footnotesize 1 &\footnotesize 2 &\footnotesize 3 &\footnotesize 4 + &\footnotesize 5 &\footnotesize 6 &\footnotesize 7 \\ + \hline + &\footnotesize in. &\footnotesize in. &\footnotesize in. &\footnotesize in. + &\footnotesize in. &\footnotesize in. &\footnotesize in. \\ +Diameter \ldots & 5.41 & 4.59 & 3.81 & 3.31 & 2.72 & 2.31 & 1.91 \\ \hline +\end{tabular} +\end{tablesetup} + +The figures in the following table give the diameters of the +images of \textit{Polaris}, in inches, as measured on one of the plates: + +\begin{tablesetup} +\begin{tabular}{cr@{}l | r | r | r | r | r | r | r} +\multicolumn{10}{c}{\textit{\textsc{Polaris}}} +\\ \hline \hline +\multicolumn{3}{c|}{\footnotesize \textsc{Exposure}} +& \multicolumn{7}{c}{\footnotesize \textsc{Diameters of Image for different Stops and Times.}} +\\ \cline{4-10} +\multicolumn{3}{c|}{\footnotesize \textsc{Times.} } + & \multicolumn{1}{c|}{\footnotesize 1} + & \multicolumn{1}{c|}{\footnotesize 2} + & \multicolumn{1}{c|}{\footnotesize 3} + & \multicolumn{1}{c|}{\footnotesize 4} + & \multicolumn{1}{c|}{\footnotesize 5} + & \multicolumn{1}{c|}{\footnotesize 6} + & \multicolumn{1}{c }{\footnotesize 7} +\\ \hline +&&& \multicolumn{1}{c|}{\footnotesize in.} + & \multicolumn{1}{c|}{\footnotesize in.} + & \multicolumn{1}{c|}{\footnotesize in.} + & \multicolumn{1}{c|}{\footnotesize in.} + & \multicolumn{1}{c|}{\footnotesize in.} + & \multicolumn{1}{c|}{\footnotesize in.} + & \multicolumn{1}{c}{\footnotesize in.} +\\ +& 1&\textsuperscript{s} + & 0.0048 & 0.0049 & 0.0049 & 0.0048 & 0.0045 & 0.0041 & 0.0036\\ +& 2& + & 58 & 57 & 59 & 52 & 47 & 45 & 37 \\ +& 4& + & 68 & 66 & 58 & 59 & 57 & 55 & 40 \\ +& 8& + & 78 & 74 & 70 & 72 & 40 & --- & 48 \\ +& 16& + & 81 & --- & 72 & 64 & 56 & 52 & 50 \\ +& 32& + & 92 & 72 & 74 & 76 & 65 & 61 & 53 \\ +& 64& + & 116 & 90 & 91 & 86 & 78 & 68 & 59 \\ +& 128& + & 139 & 117 & 102 & 96 & 84 & 78 & 67 \\ +\hline +\end{tabular} +\end{tablesetup} + +I tried to represent these numbers by various equations of the +second and third degrees as functions of the aperture and time, but +finally concluded that they could only be represented by an equation +of the $n^\text{th}$ degree, or, in other words, that the logarithms of the variables +enter into the equation. I then made a similar set of exposures, +using $\alpha$~\textit{Lyrć} (discussed further on), and found that the function +which represented the diameters was of precisely the same form. I +%-----File: 053.png----- +have deduced the following general expression for the diameter of +the photographic image of a star: +\[ +d = \alpha + \beta\centerdot\log{D} + \gamma\centerdot D\centerdot\log{t} \tag{1} +\] +In which, for a given star, +\medskip + +\begin{tablesetup} +\begin{tabular}{ r@{\ } *{10}{c@{\ }} } +$d =$ &\multicolumn{10}{l}{\hspace{-5pt}\footnotesize +the measured diameter of the photographic image;} +\\ +$\alpha =$ &\footnotesize a &\footnotesize constant +&\footnotesize depending &\footnotesize only on +&\footnotesize the &\footnotesize sensitive +&\footnotesize plate &\footnotesize and the +&\footnotesize atmospheric &\footnotesize state; +\\ +$\beta = $ && `` & `` & `` && `` & `` & `` & `` & `` \\ +$\gamma =$ && `` & `` & `` && `` & `` & `` & `` & `` +\\ +$D =$ &\multicolumn{10}{l}{\hspace{-5pt}\footnotesize +the effective diameter of the objective (stop);} +\\ +$t =$ &\multicolumn{10}{l}{\hspace{-5pt}\footnotesize +the time of exposure expressed in seconds.} +\end{tabular} +\end{tablesetup} +\medskip + +\noindent In order to determine the most probable values of $\alpha$, $\beta$, and $\gamma$ for a +particular case it will be more convenient to place +\begin{align*} +\alpha + \beta\log{D} &= a \tag{2}\\ +\gamma D &= b \tag{3} +\end{align*} +Equation (1) then becomes +\[ +d = a + b\log{t} \tag{4} +\] + +In selecting the unit for $D$ it must be remembered that with a +small stop the images, for comparatively short exposures, are small +and faint. Greater accuracy may therefore be expected from large +apertures. I have accordingly chosen six inches (6\textsuperscript{in}) as the unit of +$D$. The diameters of the stops in terms of this unit are therefore +as given below: + +\begin{tablesetup} +\begin{tabular}{l*{7}{|r@{.}l}} +\hline \hline + \multicolumn{1}{c|}{\footnotesize\textsc{Stop.}} +& \multicolumn{2}{c|}{\footnotesize 1} +& \multicolumn{2}{c|}{\footnotesize 2} +& \multicolumn{2}{c|}{\footnotesize 3} +& \multicolumn{2}{c|}{\footnotesize 4} +& \multicolumn{2}{c|}{\footnotesize 5} +& \multicolumn{2}{c|}{\footnotesize 6} +& \multicolumn{2}{c}{\footnotesize 7} +\\ \hline +Diameter \ldots & 0&902 & 0&765 & 0&635 & 0&552 & 0&453 & 0&385 & 0&318 \\ \hline +Log.\ of Diam. & -0&045 & -0&116 & -0&197 & -0&258 & -0&344 & -0&415 & -0&498 \\ \hline +\end{tabular} +\end{tablesetup} + +Equation (1) shows that when $t = 1^\text{s}$ and $D = 6^\text{in}$, we have +$d = \alpha$; in other words, $\alpha$ is the diameter of the photographic image +of the star for an aperture of six inches and an exposure time of one +second. + +Taking \textit{Polaris} for the standard star, the above-measured diameters +give the following values for $a$ and $b$ as found by the method +of least squares; each equation of condition being of the form: +\[ +d = a + b\log{t} +\] +%-----File: 054.png----- + +\begin{tablesetup} +\begin{tabular}{c | r | r} +\hline \hline +\footnotesize\textsc{Stop.} & \multicolumn{1}{c|}{$a$} & \multicolumn{1}{c}{$b$} \\ \hline + & \multicolumn{1}{c|}{\footnotesize in.} & \multicolumn{1}{c}{\footnotesize in.} \\ +1 & 0.0051 & 0.0032 \\ +2 & 53 & 22 \\ +3 & 51 & 19 \\ +4 & 46 & 22 \\ +5 & 43 & 15 \\ +6 & 43 & 13 \\ +7 & 36 & 12 \\ +\hline +\end{tabular} +\end{tablesetup} + +To find the value of $\alpha$ and $\beta$ we have the following equations of +condition +\begin{tablesetup} +\begin{tabular}{l@{ $-$ }r@{.}l@{ = }r@{.}l} +$\alpha$ & $0^\text{in}$&$045\, \beta$& $0^\text{in}$&0051\\ +$\alpha$ & &$116\, \beta$& &0053\\ +$\alpha$ & &$197\, \beta$& &0051\\ +$\alpha$ & &$258\, \beta$& &0046\\ +$\alpha$ & &$344\, \beta$& &0043\\ +$\alpha$ & &$415\, \beta$& &0043\\ +$\alpha$ & &$498\, \beta$& &0036 +\end{tabular} +\end{tablesetup} +The solution of which by the method of least squares gives for +values of $\alpha$ and $\beta$ +\[ +\alpha = 0^\text{in}.0055 \qquad\qquad \beta = 0^\text{in}.0033 +\] +The diameter of the photographic image of \textit{Polaris} for six inches +aperture and one second exposure is therefore, for this particular +case, $0^\text{in}.0055$. + +The independent values of $\gamma$ given by the expression $\gamma = \dfrac{b}{D}$ are + +\begin{tablesetup} +\begin{tabular}{r | r | r@{ }c@{ }l@{ }l} +\hline \hline +\multicolumn{1}{c|}{$b$} & \multicolumn{1}{c|}{$D$} & \multicolumn{4}{c}{$\gamma$} \\ \hline +\multicolumn{1}{c|}{\footnotesize in.} & & \multicolumn{1}{c}{\footnotesize in.} & & & \\ +0.0032 & 0.902 & 0.0035 & from & 8 different exposures with Stop &1\\ +22 & .765 & 0029 & `` & 7 ditto &2\\ +19 & .635 & 0030 & `` & 8 ditto &3\\ +22 & .552 & 0040 & `` & 8 ditto &4\\ +15 & .453 & 0033 & `` & 8 ditto &5\\ +13 & .385 & 0034 & `` & 7 ditto &6\\ +12 & .318 & 0038 & `` & 8 ditto &7\\ \hline +\end{tabular} +\end{tablesetup} +%-----File: 055.png----- +Taking the mean of the values of $\gamma$, we have for the images of \textit{Polaris} +the equation +\[ +d = 0^\text{in}.0055 + 0.0033\log{D} + 0.0034 D \log{t} \tag{5} +\] +The residuals obtained by subtracting the diameters computed by +the above formula from the measured diameters are as follows: +\begin{tablesetup} +\begin{tabular}{cr@{}l *{7}{|c@{\,}r@{.}l}} +\multicolumn{24}{c}{\large\textit{\textsc{Polaris.}}} \\ \hline \hline +\multicolumn{3}{c|}{\footnotesize\textsc{Exposure}} & \multicolumn{21}{c}{\footnotesize\textsc{Observation---Computation.}} \\ \cline{4-24} +\multicolumn{3}{c|}{\footnotesize\textsc{Time.}} +& \multicolumn{3}{c|}{\footnotesize 1} +& \multicolumn{3}{c|}{\footnotesize 2} +& \multicolumn{3}{c|}{\footnotesize 3} +& \multicolumn{3}{c|}{\footnotesize 4} +& \multicolumn{3}{c|}{\footnotesize 5} +& \multicolumn{3}{c|}{\footnotesize 6} +& \multicolumn{3}{c}{\footnotesize 7} +\\ \hline +&& & \multicolumn{3}{c|}{\footnotesize in.} +& \multicolumn{3}{c|}{\footnotesize in.} +& \multicolumn{3}{c|}{\footnotesize in.} +& \multicolumn{3}{c|}{\footnotesize in.} +& \multicolumn{3}{c|}{\footnotesize in.} +& \multicolumn{3}{c|}{\footnotesize in.} +& \multicolumn{3}{c}{\footnotesize in.} +\\ +& $1$&\textsuperscript{s} &$-$&0&0005 &$-$&0&0002 & &0&0000 &+&0&0001 &+&0&0001 & &0&0000 &$-$&0&0003 \\ +& 2& &$-$& &0005 &$-$& &0002 &+& &0004 & & &0000 &$-$& &0001 & & &0000 &$-$& &0004 \\ +& 4& &$-$& &0004 &$-$& &0001 &$-$& &0004 &$+$& &0001 &$+$& &0004 &$+$& &0006 &$-$& &0005 \\ +& 8& &$-$& &0003 &$-$& &0001 &$+$& &0002 &$+$& &0008 & \multicolumn{3}{c|}{------} & \multicolumn{3}{c|}{------} & & &0000 \\ +& 16& &$-$& &0009 & \multicolumn{3}{c|}{------} &$-$& &0003 &$-$& &0005 &$-$& &0004 &$-$& &0005 &$-$& &0002 \\ +& 32& &$-$& &0008 & \multicolumn{3}{r|}{(0018)} &$-$& &0007 &$+$& &0001 & & &0000 & & &0000 &$-$& &0001 \\ +& 64& &$-$& &0007 &$-$& &0008 &$+$& &0003 &$+$& &0006 &$+$& &0008 &$+$& &0003 &$+$& &0001 \\ +& 128& &$-$& &0020 &$-$& &0011 &$+$& &0008 &$+$& &0010 &$+$& &0010 &$+$& &0009 &$+$& &0006 \\ \hline +\end{tabular} +\end{tablesetup} +\medskip +The diameters of the images of $\alpha$ \textit{Lyrć} on a plate exposed Sept.\ 2, +are as follows: +\begin{tablesetup} +\begin{tabular}{cr@{}l *{7}{|r}} +\multicolumn{10}{c}{\large$\alpha$ \textit{\textsc{Lyrć.}}} \\ \hline \hline +\multicolumn{3}{c|}{\footnotesize\textsc{Exposure}} +& \multicolumn{7}{c}{\footnotesize \textsc{Diameters of Images for different Stops and Times.}} +\\ \cline{4-10} +\multicolumn{3}{c|}{\footnotesize\textsc{\footnotesize Time.}} +& \multicolumn{1}{c|}{\footnotesize 1} +& \multicolumn{1}{c|}{\footnotesize 2} +& \multicolumn{1}{c|}{\footnotesize 3} +& \multicolumn{1}{c|}{\footnotesize 4} +& \multicolumn{1}{c|}{\footnotesize 5} +& \multicolumn{1}{c|}{\footnotesize 6} +& \multicolumn{1}{c}{\footnotesize 7} +\\ \hline +& $1$&\textsuperscript{s} &0.0093 &0.0088 &0.0073 &0.0061 &0.0055 &0.0046 &0.0045 \\ +& 2 & &114 &91 &--- &70 &63 &55 &48 \\ +& 4 & &123 &96 &--- &80 &70 &--- &57 \\ +& 8 & &148 &107 &102 &109 &80 &71 &66 \\ +& 16 & &\tablenoteasterisk \quad --- &125 &114 &114 &88 &--- &72 \\ +& 32 & &\tablenoteasterisk \quad --- &146 &133 &122 &104 &--- &83 \\ +& 64 & &\tablenoteasterisk \quad --- &169 &151 &145 &119 &--- &--- \\ \hline +\end{tabular} +\end{tablesetup} + +\begin{footnotesize}* In this table, as in the one for \textit{Polaris}, the missing figures belong to cases in which the +images, on account of imperfect pointing, are not circular but elongated; while for stop 1 the +images are so close together that the larger ones overlap, and, consequently, were not used. + +\end{footnotesize} + +\medskip +%-----File: 056.png----- + +The equation which fairly represents these diameters is: +\[ +d = 0^\text{in}.0070 + 0^\text{in}.0050\log D + 0.0074 D\log{t} \tag{6} +\] +the individual values of $\gamma$, found by dividing each $b$ by +the corresponding $D$, are: +\begin{tablesetup} +\begin{tabular}{r@{ }c@{ }l@{ }c@{ }r} + \multicolumn{1}{c}{\footnotesize $b$} & {\footnotesize $\div$} +& \multicolumn{1}{c}{\footnotesize $D$} & {\footnotesize $=$} +& \multicolumn{1}{c}{\footnotesize $\gamma$}\\ +0.0067 & $\div$ & .902 & = & 0.0074 \\ +46 & &.765 & &.0060 \\ +42 & &.635 & &.0066 \\ +46 & &.552 & &.0083 \\ +34 & &.453 & &.0075 \\ +30 & &.385 & &.0078 \\ +27 & &.318 & &.0085 +\end{tabular} +\end{tablesetup} +The observed values of $d$, minus the values computed by equation +(6), are as given below: +\begin{tablesetup} +\begin{tabular}{c r@{}l *{7}{|r@{\,}r@{.}l}} +\multicolumn{24}{c}{\large$\alpha$ \textit{\textsc{Lyrć .}}} \\ +\hline \hline +\multicolumn{3}{c|}{ + \multirow{2}{5em}[-1ex]{\centering\textsc{Exposure Time.}}} +& \multicolumn{21}{|c}{\textsc{\rule{0pt}{3ex} Observation---Computation.}} +\\[1ex] +\cline{4-24} +&&& \multicolumn{3}{c|}{1\rule{0pt}{3ex}} +& \multicolumn{3}{c|}{2} & \multicolumn{3}{c|}{3} +& \multicolumn{3}{c|}{4} & \multicolumn{3}{c|}{5} +& \multicolumn{3}{c|}{6} & \multicolumn{3}{c}{7} +\\[1ex] \hline +& 1&\textsuperscript{s} &$+$&0&0005 +&\multicolumn{1}{@{}r@{}}{$(+$}&0&\multicolumn{1}{@{}l@{}|}{0024)} +&$+$&0&0013 &$+$&0&0004 &$+$&0&0002 &$-$&0&0002 & &0&0000 +\\ +& 2& &$+$& &0006 & & &0010 &\multicolumn{3}{c|}{------} &$+$& &0001 & & &0000 &$-$& &0001 &$-$& &0004 \\ +& 4& &$-$& &0005 &$-$& &0002 &\multicolumn{3}{c|}{------} &$-$& &0001 &$-$& &0003 &\multicolumn{3}{c|}{------} &$-$& &0002 \\ +& 8& &\multicolumn{3}{c|}{------} &$-$& &0008 & & &0000 &$+$& &0015 &$-$& &0003 &$-$& &0002 & & &0000 \\ +& 16& &\multicolumn{3}{c|}{------} &$-$& &0007 &$-$& &0002 &$+$& &0008 &$-$& &0005 &\multicolumn{3}{c|}{------} &$-$& &0001 \\ +& 32& &\multicolumn{3}{c|}{------} &$-$& &0003 &$-$& &0001 &$-$& &0004 &$+$& &0001 &\multicolumn{3}{c|}{------} &$+$& &0003 \\ +\mbox\quad +& 64& &\multicolumn{3}{c|}{------} &$+$& &0003 &$+$& &0006 &$-$& &0009 +&$+$& &0006 +&\multicolumn{3}{c|}{------} &\multicolumn{3}{c}{------} \\ +\hline +\end{tabular} +\end{tablesetup} + +From equation (6) we infer that, for six inches aperture and one +second exposure time, the diameter of $\alpha$ \textit{Lyrć's} image on this particular +plate is $0^\text{in}.0070$. Comparing equation (6) with equation (5) +we learn that the increase in the diameter of the image of $\alpha$ \textit{Lyrć} on +this plate for any $t$ is 2.2 times as rapid as it is in the case of \textit{Polaris} +for the same $t$ on the plate first described; so that, if other things +were equal, the difference between the photographic energy of two +stars could be more accurately determined from comparatively long exposures than from short ones. (The \emph{rate} of increase, of course, +varies inversely as $t$.) + +Now, let +\[ +d = \alpha_0 + \beta_0\log{D} + \gamma_0 D\log{t} \tag{7} +\] +%-----File: 057.png----- +be the equation giving the diameters for a particular star taken as a +standard, and let +\[ +d' = \alpha + \beta\log{D_0} + \gamma D_0 \log{t} \tag{8} +\] +be the equation which gives the diameter of the image of \emph{any} star +for the \emph{constant aperture} $D_0$ (unity $= 6^\text{in}$); then if $Q$ represents the +particular aperture in equation~(7) +which, for the same value of $t$ +makes $d = d'$, the reciprocal of this quantity, or \begin{large}$\frac{1}{Q}$\end{large}, substituted in +place of $D_0$ must, for all values of $t$, satisfy equation~(8) +for $d' = d$ +if the assumed law\footnote{The law expressed in equations (1) and (7).} +is theoretically exact. $Q$, then, becomes a measure +of the square root of the relative brightness of the two stars, since, +if we assume that the amount of energy required to produce a given +impression on a given plate is always the same, whatever the unit of +energy (intensity) may be, the total amount of energy for the same +telescope can be considered as varying directly with the area of the +aperture, or with $D^2$. Hence, if $B_0$ and $B$ denote respectively the +brightness of the standard and comparison stars, we can at once +write: +\[ +\left(\frac{Q}{D_0}\right)^2 = \frac{B}{B_0} \tag{10} +\] +$Q$ being that value of $D$ which when substituted in the equation for +the standard star (equation~7) will make $d = d'$. In other words, +\textit{$Q$ is the diameter of the aperture which the standard star would +require to produce, in the time $t$, an image having the same diameter +as that of any other star photographed with an aperture $D_0$} (= six +inches) \emph{in the same time $t$}. Equation~(7) can therefore be written: +\[ +d' = \alpha_0 + \beta_0\log{Q} + \gamma_0 Q\log{t} \tag{11} +\] + +Let us now take the equations deduced from the measured diameters +of the images of \textit{Polaris} and $\alpha$ \textit{Lyrć}, and see to what degree +of accuracy the necessary theoretical relations between $Q$ and $D_0$ will +represent the observed data. For $d = d'$ we have the equation: +\[ +0.0055 + 0.0033\log{Q} + 0.0034 Q \log{t} = 0.0070 + 0.0050\log{D_0} + 0.0074 D_0\log{t} +\] + +After a few trials, for different values of $t$, we obtain the approximate +value $D_0 = 0.48$ when $Q = 1$, and, according to the above +considerations, we should also have $Q = 2.10$ when $D_0 = 1$. Both +of these conditions should be fulfilled for all values of $t$. + +As the images of the two stars are on different plates I have not +thought it worth while to derive a more accurate relation between $Q$ +and $D_0$ for this particular case. +%-----File: 058.png----- + +The approximate relation will, however, serve to show the agreement +between our theory and the data derived from actual observations. + +The accompanying table contains the computed values of $d$ and +$d'$ for each $t$, for reciprocal values of $Q$ and $D_0$: +\begin{tablesetup} +\begin{tabular}{c r@{}l | r@{.}l | r@{.}l || r@{.}l | r@{.}l } +\hline\hline + \multicolumn{3}{c|}{ +\multirow{2}{5em}{\centering\footnotesize\textsc{ + Exposure Time.}} } +& \multicolumn{4}{m{8em}@{ }||}{\centering\footnotesize $ + \begin{array}{l@{ }l} + D_0 &= 1.00 \\ Q &= 2.10 + \end{array}$} +& \multicolumn{4}{@{ }m{8em}}{\centering\footnotesize $ + \begin{array}{r@{ }l} + D &= 0.48 \\ Q &= 1.00 + \end{array}$} +\\ \cline{4-11} +&&&\multicolumn{2}{m{4em}|}{\centering\footnotesize\textit{ + Polaris \\ d}} +& \multicolumn{2}{m{4em}||}{\centering\footnotesize\textit{ + $\alpha$ \textit{Lyrć} \\ $d'$}} +& \multicolumn{2}{m{4em}|}{\centering\footnotesize\textit{ + Polaris \\ d}} +& \multicolumn{2}{m{4em}}{\centering\footnotesize\textit{ + $\alpha$ \textit{Lyrć} \\ $d'$}} +\\ \hline +\mbox\quad& 1&\textsuperscript{s} + &\ 0&0070 &\ 0&0066 &\ 0&0055 &\ 0&0054 \\ +& 2& & &0087 & &0092 & &0065 & &0065 \\ +& 4& & &0109 & &0114 & &0075 & &0075 \\ +& 8& & &0130 & &0140 & &0086 & &0086 \\ +& 16& & &0151 & &0159 & &0096 & &0097 \\ +& 32& & &0173 & &0181 & &0106 & &0107 \\ +& 64& & &0195 & &0204 & &0117 & &0118 \\ +\hline +\end{tabular} +\end{tablesetup} + +If the two sets of star images had been impressed upon the same +plate, we would have inferred the photographic brightness of $\alpha$ \textit{Lyrć} +to be about 4.4 times that of \textit{Polaris}.\footnote{ + Neglecting atmospheric absorption.} +As, however, the diameters +of the star images on different plates taken from the same box are +not always the same for equal exposures, it became necessary to make +a separate investigation covering this particular phenomenon. + +I found that if we express the diameters of the image of \textit{Polaris} +on any plate in terms of the diameters given on the plate for which +equation~(5) holds good (which we will call the standard plate), we +have only to multiply the second member of equation~(5) by such a +number $x$ that for a given $t$ the measured $d$ will be satisfied. From +a series of comparisons I find that $x$ is practically constant for the +different values of $t$. The general equation for any No.~26 Seed +plate exposed in the stellar focus of the particular telescope used in +these investigations I therefore assume to be +\[ +\frac{d}{x}=0^{\text{in}}.0055 + 0^{\text{in}}.0033 (\log{Q}+Q\log{t}) \tag{12} +\] +since, for all practical purposes, $\beta_{0}$ and $\gamma_{0}$ in equation~(5) are the same. +%-----File: 059.png----- + +To find the value of $Q$ from this equation we can write: +\begin{equation} +\log{Q} + Q\log{t} = \log{(Qt^Q)} = \frac{d}{0.0033 \centerdot x} - 1.67 \quad. \tag{13} +\end{equation} + +In order, however, to facilitate the determination of $Q$ for certain +observed values of $d$ and $t$, I have computed the following table, by +means of which $Q$ can be obtained by simple interpolation. + +The horizontal argument is $Q$, the vertical argument is $t$, and the +tabular function corresponding to these arguments is the measured $d$ +of equation (13) for $x = 1.00$. + +\begin{tablesetup} +\renewcommand{\tabcolsep}{4pt} +\begin{tabular}{c *{10}{|r@{.}l}} +\hline \hline +\footnotesize \textsc{Exposure} & \multicolumn{20}{c}{\textsc{Q.}} +\\ \cline{2-21} +\footnotesize \textsc{Time.} +& \multicolumn{2}{c|}{\footnotesize 0.40} +& \multicolumn{2}{c|}{\footnotesize 0.80} +& \multicolumn{2}{c|}{\footnotesize 1.20} +& \multicolumn{2}{c|}{\footnotesize 1.60} +& \multicolumn{2}{c|}{\footnotesize 2.00} +& \multicolumn{2}{c|}{\footnotesize 2.40} +& \multicolumn{2}{c|}{\footnotesize 2.80} +& \multicolumn{2}{c|}{\footnotesize 3.20} +& \multicolumn{2}{c|}{\footnotesize 3.60} +& \multicolumn{2}{c}{\footnotesize 4.00} +\\ \hline +$2^\text{s}$ &0&0046 &0&0060 &0&0070 &0&0078 &0&0085 &0&0091 &0&0098 &0&0103 &0&0109 &0&0114 \\ +$4^{\phantom{\text{s}}}$ & &0050 & &0068 & &0081 & &0093 & &0105 & &0115 & &0125 & &0135 & &0145 & &0154 \\ +$8^{\phantom{\text{s}}}$ & &0054 & &0078 & &0093 & &0109 & &0125 & &0139 & &0153 & &0167 & &0181 & &0194 \\ \hline +\end{tabular} +\end{tablesetup} + +If for a particular plate any measured diameter is $d$, the argument +for entering the above table is $x\centerdot d$, and $x$ is to be taken as a +constant for the same plate. + +We will now give a few examples illustrating the application of +the formulas for determining the brightness of the fixed stars: + +\textsc{Example I.\@} On September 5th, 1889, \textit{Polaris}, $\alpha$ \textit{Aurigć}, +$\gamma$ \textit{Cephei} and $\alpha$ \textit{Tauri} were photographed on the same plate with +exposures of $2^\text{s}$, $4^\text{s}$ and $8^\text{s}$. The measured diameters are: + +\begin{tablesetup} +\begin{tabular}{c *{4}{|r@{.}l}} +\hline \hline +\footnotesize \textsc{Exposure} +& \multicolumn{8}{c}{\footnotesize \textsc{Measured Diameters} ($= d$).} +\\ \cline{2-9} +\footnotesize \textsc{Time.} +& \multicolumn{2}{c|}{\footnotesize \textit{Polaris.}} +& \multicolumn{2}{c|}{\footnotesize $\alpha$ \textit{Aurigć.}} +& \multicolumn{2}{c|}{\footnotesize $\gamma$ \textit{Cephei.}} +& \multicolumn{2}{c}{\footnotesize $\alpha$ \textit{Tauri.}} +\\ \hline +$2^\text{s}$ &0&0064 &0&0081 &0&0042 &0&0060 \\ +$4^{\phantom{\text{s}}}$ & &0074 & &0090 & &0052 & &0061 \\ +$8^{\phantom{\text{s}}}$ & &0080 & &0109 & &0056 & &0072 \\ \hline +\end{tabular} +\end{tablesetup} + +The aperture being six inches for all the exposures, we first +assume the plate to be a standard one, and find $d$ with the argument +$Q = 1$, either by means of equation (5) or, by interpolation, from +the table: +%-----File: 060.png----- + +\begin{tablesetup} +\begin{tabular}{c|c|c} +\multicolumn{3}{c}{\large\textit{\textsc{Polaris.}}} +\\ \hline \hline +\footnotesize \textsc{Exposure Time.} +& \footnotesize \textsc{Computed} $d$. & \footnotesize O $-$ C. +\\ \hline +$2^\text{s} $&$ 0.0065 $&$ -0.0001 $\\ +$4^\text{s} $&$ \phantom{0}.0074 $&$ \phantom{-}0.0000 $\\ +$8^\text{s} $&$ \phantom{0}.0085 $&$ -0.0005 $\\ \hline +\end{tabular} +\end{tablesetup} + +As the measured values are slightly smaller than those given by +our assumed standard plate, we give $x$ such a value that the (O~$-$~C) +quantities will nearly balance each other. Placing $x = 1.03$ and +multiplying the observed values of $d$ by 1.03, the residuals (O~$-$~C) +become respectively $+0.0001$, $+0.0001$, and $-0.0003$. + +To obtain the value of $Q$ by direct computation, for any star whose +image is on this particular plate, we would therefore use the equation +\begin{equation} +\log{Q} + Q\log{t} = \frac{d}{0.0034} - 1.67 \tag{15} +\end{equation} +in which $d$ is the measured diameter corresponding to the time $t$. + +The tabular values at once give the desired quantities by interpolation, +first multiplying each measured $d$ by 1.03 for the argument: +\begin{tablesetup} +\begin{tabular}{p{6em}|c|c|c|c} +\hline \hline +\centering \footnotesize \textsc{Exposure} +& \multicolumn{4}{|c}{\footnotesize \textsc{Values of} $Q - \sqrt{B}$} +\\ \cline{2-5} +\centering \footnotesize \textsc{Time.} +& \footnotesize \textit{Polaris.} +& \footnotesize $\alpha$ \textit{Aurigć.} +& \footnotesize $\gamma$ \textit{Cephei.} +& \footnotesize $\alpha$ \textit{Tauri.} +\\ \hline +\centering $2^\text{s}$\phantom{\tablenotedagger} & 1.04 & 1.89 & 0.32 & 0.84 \\ +\centering $4^\text{s}$\phantom{\tablenotedagger} & 1.05 & 1.60 & 0.32 & 0.69 \\ +\centering $8^\text{s}$\tablenotedagger & 0.90 & 1.68 & 0.47 & 0.73 \\ \hline +\centering \footnotesize Mean & 1.00 & 1.72 & 0.42 & 0.75 \\ \hline +\multicolumn{5}{l}{\footnotesize$\dagger$ Transcriber's note: Original text reads $5^\text{s}$} +\end{tabular} +\end{tablesetup} +Using the mean values of $Q$, we obtain the following residuals: + +\begin{tablesetup} +\begin{tabular}{p{6em} *{4}{|c@{\,}r@{.}l}} +\hline \hline +%\centering \footnotesize \textsc{Exposure Time.} +\centering \footnotesize \textsc{Exposure} & +\multicolumn{12}{|c}{\multirow{2}{*}{\footnotesize \textsc{Observation $-$ Computation}}} \\ +\centering \footnotesize \textsc{Time.} & \multicolumn{12}{c}{}\\ \hline +\centering $2^\text{s}$ & &0&0000 &$+$&0&0003 &$-$&0&0003 &$+$&0&0003 \\ +\centering $4^{\phantom{\text{s}}}$ &$+$& &0002 &$-$& &0004 &$+$& &0002 &$-$& &0003 \\ +\centering $8^{\phantom{\text{s}}}$ &$-$& &0003 &$-$& &0002 &$+$& &0003 &$-$& &0001 \\ \hline +\end{tabular} +\end{tablesetup} + +If we use the familiar expression for the light-ratio of visual magnitudes, +\begin{equation*} +B = (0.4)^{m - 1} +\end{equation*} +%-----File: 061.png----- +(in which $B$ and $m$ are respectively the visual brightness and visual +magnitude of any star) for expressing also the light-ratio for the photographic +magnitudes $m'$, we can write +\[ + m' = 1 - \frac{\operatorname{log.}(\kappa \cdot Q^2)} + {\operatorname{log.} 0.4} \tag{17} +\] +in which $\kappa$ is a constant depending upon the photographic magnitude +of the standard star. For the purpose of comparing the photographic +with the visual magnitudes, let us take \textit{Polaris} as the standard star, +and assume its photographic magnitude to be 2.00; equation~(17) +becomes +\[ + m' = 2 - \frac{\log Q^2}{0.4} +\] + +The values of $m'$, for certain values of $Q$, can be taken from the +accompanying table, which I have computed for illustration: +\begin{tablesetup} +\begin{tabular}{r@{.}l||*{4}{r@{.}l|} r@{.}l} +\hline \hline +\multicolumn{2}{c||}{\footnotesize $Q$\rule{0pt}{4ex}} +& \multicolumn{2}{c|}{\footnotesize 0.00} +& \multicolumn{2}{c|}{\footnotesize 0.20} +& \multicolumn{2}{c|}{\footnotesize 0.40} +& \multicolumn{2}{c|}{\footnotesize 0.60} +& \multicolumn{2}{c}{\footnotesize 0.80} \\[1ex] +\hline + 0&00 & \multicolumn{2}{c|}{} & 5&49 & 3&99 & 3&11 +& 2&48\rule{0pt}{3ex} +\\[1ex] + 1&00 & 2&00 & 1&60 & 1&27 & 0&98 & 0&72 \\[1ex] + 2&00 & 0&50 & 0&29 & 0&10 & $-0$&07 & $-0$&24 \\[1ex] + \mbox\quad 3&00\mbox\quad &\mbox\ $-0$&39\mbox\quad +&\mbox\ $-0$&53\mbox\quad &\mbox\ $-0$&66\mbox\quad +&\mbox\ $-0$&78\mbox\quad &\mbox\ $-0$&90\mbox\quad \\[1ex] +\hline +\end{tabular} +\end{tablesetup} + +From an inspection of the table and the values of $Q$ given in the +next example, we see at once that if we wish to avoid negative numbers +for expressing some observed magnitudes we must either represent +the magnitude of \textit{Polaris} by a greater number or change the +light-ratio. + +I have tabulated the photographic magnitudes of the four stars, +together with the probable errors. The visual magnitudes as given +in Volume~XIV, \textit{Harvard College Observatory Annals}, and the +differences between the photographic and visual magnitudes, are also +added: +\begin{tablesetup} +\begin{tabular}{r@{ }l|c|c|c|c} +\hline \hline +\multicolumn{2}{c|}{\footnotesize\textsc{Star.}} +& {\footnotesize \textsc{Photog.~Mag.}} +& {\footnotesize \textsc{Probable Error.}} +& {\footnotesize \textsc{Visual Mag.}} +& {\footnotesize \textsc{Vis.~$-$ Photog.}}\\ +\hline + & \textit{Polaris} &$ 2.02 $&$ \pm 0.11\phantom{\pm} $&$ 2.2 $&$ +0.2 $\\ +$\alpha$ & \textit{Aurigć} &$ 0.82 $&$ 0.11 $&$ 0.2 $&$ -0.6 $\\ +$\gamma$ & \textit{Cephei} &$ 4.20 $&$ 0.28 $&$ 3.4 $&$ -0.8 $\\ +$\alpha$ & \textit{Tauri} &$ 2.62 $&$ 0.13 $&$ 1.0 $&$ -1.6 $\\ +\hline +\end{tabular} +\end{tablesetup} +%-----File: 062.png----- + +\textsc{Example II\@.} During the night of September~6, in bright moonlight, +I made exposures of 2\textsuperscript{s}, 4\textsuperscript{s} and 8\textsuperscript{s} on \textit{Polaris}, $\alpha$ \textit{Lyrć}, $\alpha$ \textit{Cygni}, +$\alpha$ \textit{Aquilć}, and four hours later the same plate was exposed on +$\alpha$ \textit{Pisces Australis}, $\beta$ \textit{Ceti}, $\alpha$ \textit{Aurigć}, $\alpha$ \textit{Arietis} and $\alpha$ \textit{Andromedć}. +The measured diameters are tabulated below. For this plate we see +at once that the differences between the observed and computed values +of $d$ are such that the $(C - O)$ values (+0.0001, -0.0003 and ++0.0003) practically balance each other; hence we place $x = 1.00$ +and use equation (13) (or the table) to obtain the values of $Q$ given +below. For the $(O - C)$ values the computed quantities are obtained +by substituting the mean values of $Q$ in equation (12): + +\begin{tablesetup} +\renewcommand{\tabcolsep}{3pt} +\begin{tabular}{c|c|c|c|c|c|c|c|c|c} +\hline \hline + &\multicolumn{9}{c}{\footnotesize}\\ + &\multicolumn{9}{c}{\footnotesize\textsc{Measured Values of} \textit{d}}\\ +\footnotesize\textsc{Exposure} &\multicolumn{9}{c}{\footnotesize}\\ +\cline{2-10} +\footnotesize\textsc{Time.}& \multirow{2}{*}{\footnotesize\textit{Polaris.}}& \footnotesize$\alpha$ & \footnotesize$\alpha$ & \footnotesize$\alpha$ & \footnotesize$\alpha$ \textit{Pis.}& \footnotesize$\beta$ & \footnotesize$\alpha$ & \footnotesize$\alpha$ & \footnotesize$\alpha$ \\ +& & \footnotesize\textit{Lyrć.}& \footnotesize\textit{Cygni.}& \footnotesize\textit{Aquilć.}& \footnotesize\textit{Aust.}& \footnotesize\textit{Ceti.}& \footnotesize\textit{Aurigć.}& \footnotesize\textit{Arietis.}& \footnotesize\textit{Androm.}\\ +\hline +$2^\text{s}$ & 0.0066& 0.0103& 0.0092& 0.0090& 0.0077& 0.0049& 0.0075& 0.0053& 0.0079\\ +$4^{\phantom{\text{s}}}$& \phantom{0}.0072& \phantom{0}.0134& \phantom{0}.0116& \phantom{0}.0106& \phantom{0}.0087& \phantom{0}.0054& \phantom{0}.0094& \phantom{0}.0063& \phantom{0}.0090\\ +$8^{\phantom{\text{s}}}$& \phantom{0}.0088& \phantom{0}.0169& \phantom{0}.0136& \phantom{0}.0129& \phantom{0}.0099& \phantom{0}.0060& \phantom{0}.0106& \phantom{0}.0066& \phantom{0}.0116\\ +\hline\hline +\multirow{3}{*}{\begin{tabular}{c}\footnotesize\textsc{Exposure}\\\footnotesize\textsc{Time.}\end{tabular}}\\ + &\multicolumn{9}{c}{\footnotesize\textsc{Resulting Values of} $Q=\sqrt{B}$.}\\ + &\multicolumn{9}{c}{}\\ +\hline +$2^\text{s}$& 1.04& 3.20& 2.46& 2.33& 1.55& 0.49& 1.45& 0.60& 1.66\\ +$4^{\phantom{\text{s}}}$& 0.92& 3.16& 2.44& 2.04& 1.40& 0.49& 1.63& 0.69& 1.50\\ +$8^{\phantom{\text{s}}}$& 1.07& 3.26& 2.31& 2.11& 1.35& 0.50& 1.52& 0.60& 1.77\\ +\hline + & 1.01& 3.21& 2.30& 2.15& 1.43& 0.49& 1.53& 0.63& 1.64\\ +\hline\hline +\multirow{3}{*}{\begin{tabular}{c}\footnotesize\textsc{Exposure}\\\footnotesize\textsc{Time.}\end{tabular}}\\ + &\multicolumn{9}{c}{\footnotesize\textsc{The Mean Values of $Q$, give the Residuals.}}\\ + &\multicolumn{9}{c}{\footnotesize}\\ +\hline +$2^\text{s} $&$ +0.0000 $&$ \phantom{+}0.0000 $&$ +0.0002 $&$ +0.0003 $&$ +0.0002 $&$ \phantom{+}0.0000 $& + $ -0.0002 $&$ -0.0001 $&$ \phantom{+}0.0000 $\\ +$4^{\phantom{\text{s}}} $&$ +\phantom{0}.0001 $&$ -\phantom{0}.0001 $&$ \phantom{0}+.0003 $&$ -\phantom{0}.0002 $& + $ \phantom{+0}.0000 $&$ \phantom{+0}.0000 $&$ +\phantom{0}.0003 $&$ +\phantom{0}.0003 $&$ -\phantom{0}.0004 $\\ +$8^{\phantom{\text{s}}} $&$ -\phantom{0}.0003 $&$ +\phantom{0}.0002 $&$ \phantom{+0}.0000 $&$ -\phantom{0}.0001 $& + $ -\phantom{0}.0003 $&$ +\phantom{0}.0001 $&$ +\phantom{0}.0001 $&$ -\phantom{0}.0001 $&$ +\phantom{0}.0005 $\\ +\hline\hline +\end{tabular} +\end{tablesetup} + + +The numbers expressing the photographic brightness of each star +in terms of that of \textit{Polaris} are therefore, in the above order, 10.3, +5.3, 4.6, 2.0, 0.2, 2.3, 0.4 and 2.7. The only star of the list which +was near to the zenith at the time its image was formed on the photographic +plate is $\alpha$ \textit{Lyrć}; the effect of moonlight, atmospheric +%-----File: 063.png----- +absorption and haze would therefore be at a minimum for this star, +and its relative brightness would apparently be near a maximum. +The same remarks apply to the results given in the next table as in +the last example: +\begin{tablesetup} +\begin{tabular}{r@{ }l|c|c|c|c} +\hline \hline +\multicolumn{2}{m{5em}|}{\centering\footnotesize\textsc{ + Star.}} +& \multicolumn{1}{m{5em}|}{\centering\footnotesize\textsc{ + Photog.\ Mag.}} +& \multicolumn{1}{m{5em}|}{\centering\footnotesize\textsc{ + Probable Error.}} +& \multicolumn{1}{m{5em}|}{\centering\footnotesize\textsc{ + Visual Mag.}} + & \multicolumn{1}{m{5em}}{\centering\footnotesize\textsc{ + Vis.~$-$ Photog.}} \\[2ex] +\hline +\mbox\quad &\textit{Polaris}\rule{0pt}{3ex} & +1.95 & $\pm$0.05 & +2.2 & +0.2 \\ +$\alpha$& \textit{Lyrć} & $-0.53$ & $\pm$0.02 & +0.2 & +0.7 \\ +$\alpha$& \textit{Cygni} & +0.10 & $\pm$0.03 & +1.5 & +1.4 \\ +$\alpha$& \textit{Aquilć} & +0.34 & $\pm$0.06 & +1.0 & +0.7 \\ +$\alpha$& \textit{Pis.~Aust.}\mbox\ & +1.22 & $\pm$0.05 & +1.3 & +0.1 \\ +$\beta$ & \textit{Ceti} & +3.53 & $\pm$0.01 & +2.1 & $-1.4$ \\ +$\alpha$& \textit{Aurigć} & +1.08 & $\pm$0.05 & +0.2 & $-0.9$ \\ +$\alpha$& \textit{Arietis} & +3.01 & $\pm$0.07 & +2.0 & $-1.0$ \\ +$\alpha$& \textit{Androm.} & +0.93 & $\pm$0.07 & +2.1 & +1.2 \\[1ex] +\hline +\end{tabular} +\end{tablesetup} + +No corrections for absorption, etc., have as yet been applied to +the above results, which consequently refer to the apparent magnitude +at the instant of exposure. The last column of the above table +plainly shows that we can make no definite \textit{a priori} estimate as to +what the photographic magnitude of a star is if we simply know its +visual magnitude. There is therefore no advantage (as Professor +Holden has pointed out in his ``Memorandum'' to the Paris Photographic +Conference) in following the methods used for visual magnitudes. + +It is evident that we must first know the law of atmospheric +absorption of the photographic rays before we can determine the true +relative brightness of the stars; since each observed brightness +requires a certain plus correction, depending directly upon the zenith +distance, to reduce it to the brightness which would have been +obtained at the zenith. Or each observed brightness could be +reduced to what it would be at a certain zenith distance, as, for +instance, that of the celestial pole at a given place. The photographs +already taken show that this correction is quite sensible, even +at small zenith distances. From some preliminary reductions I find +that for this Observatory (altitude 4209 feet) the absorption of stellar +%-----File: 064.png----- +photographic brightness at 80° zenith distance is considerably more +than fifty per cent.\ of the brightness reduced to 0° zenith distance. +After a complete series of observations bearing upon this subject has +been obtained at sea-level near the earth's equator, I hope to give, +in a more or less complete state, the photographic magnitudes of a +large number of the brighter stars in both hemispheres. Just how +far down the scale of magnitudes the formulć will hold good I am, +as yet, unable to say. + +In photographing faint stars the exposure time should evidently +be so long as to make the diameters of the disks as great or greater +than the faint penumbral image which, in the telescope used, surrounds +the primitive umbral image in short exposures on faint stars; +when this precaution is taken, it seems that the formulć give consistent +results, judging from a few experimental exposures. This form +of image for short exposures on faint stars may, of course, be peculiar +to this particular telescope. Too much stress cannot be laid upon +the statement, \emph{that if reliable results are to be obtained}, the objective +must be of the first order of excellence and \emph{the plate must be kept +exactly in the stellar focus}. + +Throughout this whole discussion I have purposely avoided bringing +in any relation between aperture and focal length, as it seems +probable that different telescopes must be compared before any definite +conclusions can be drawn. + +The results contained in the present paper are only to be considered +as preliminary to a much more extended investigation to be +undertaken in South America under the auspices of this Observatory, +made possible through the generosity of Col.\ \textsc{Crocker}. + +In conclusion, I wish to express my obligations to Professor +\textsc{Holden}, Director of this Observatory, for his readiness in placing +at my disposal everything which could in any way aid me in past and +future investigations; for his practical help and advice relating to a +subject which has claimed his attention for some time past, and +which is destined to become the most important method of investigation +in our science, viz: \textit{Astronomical Photography}. + +\filbreak +I also wish to thank Mr.\ \textsc{Burnham} for his kind and willing +assistance in the photographic work.\\* +\rightline{\textsc{J.~M. Schaeberle}.\quad}\\*[1ex] +{\small\indent \textsc{Lick Observatory}, September~21, 1889.} + +\ThoughtBreakLong +%-----File: 065.png----- + +\nbsectionheading{ON THE ESTABLISHMENT OF A STANDARD MERIDIAN +LINE FOR SANTA CLARA COUNTY, CALIFORNIA.} +\addcontentsline{toc}{section}{On the Establishment of a Standard Meridian Line for Santa Clara County, California. By \textsc{J.~E. Keeler}} + +\nbsubsubsectionheading{\shortrule\\* +\textsc{By \textsc{James E. Keeler.}}\\* +\shortrule} + +A few months ago, at the suggestion of Professor \textsc{Holden}, Mr.\ \textsc{Chas.\ Herrmann}, +County Surveyor of Santa Clara county, and Mr.\ \textsc{A.~T. Herrmann}, +Surveyor and Civil Engineer, obtained the permission +of the County Supervisors to establish a standard meridian +line in San José, for the benefit of surveyors, with a sufficient sum of +money to provide suitable monuments. + +It was agreed that the astronomical staff of the Observatory +should make the necessary observations without expense to the +county, and I was appointed to carry out the work. + +Absolute directions on the earth can only be determined by reference +to the heavenly bodies. The magnetic needle has been and +still is extensively used as a secondary means of determining directions, +but the angle which the magnetic needle makes with the true +meridian is constantly changing, and is, moreover, subject to sudden +and irregular variations, so that, even with the greatest precautions, the +compass is an unsafe guide. Ignorance of these facts, or of the +amount of necessary allowance from lack of a suitable standard of +reference, has given rise to an endless amount of litigation in this +country. It is safe to say, that if each county in the Union had +legally established a standard meridian in the early days of its settlement, +the gain to the country would have to be estimated by hundreds +of thousands of dollars. + +The remedy for the evils resulting from the secular change of +the magnetic declination has been repeatedly pointed out, ever since +the days of \textsc{Rittenhouse}. Prof.\ \textsc{Gillespie}, in his well-known work +on Land Surveying, says (p.~210): ``The only complete remedy for +the disputes, and the uncertainty of bounds, resulting from the continued +change in the variation, is this: Let a meridian, \textit{i.~e.}, a true +north and south line, be established in every town or county, by the +authority of the State; monuments, such as stones set deep in the +ground, being placed at each end of it. Let every surveyor be +obliged by law to test his compass by this line, at least once in each +year. .~~.~~.~~. Let the variation thus ascertained be inserted in the +notes of the survey and recorded in the deed. Another surveyor, +years or centuries afterward, could test his compass by taking the +%-----File: 066.png----- +bearing of the same monuments, and the difference between this and +the former bearing would be the change of variation. He could thus +determine, with entire certainty, the proper allowance to be made in +order to retrace the original line, no matter how much, or how irregularly, +the variation may have changed, or how badly adjusted was the +compass of the original survey.'' + +But although these evils have been thus forcibly stated, even in +the text-books of every school, and the remedy so clearly pointed out, +very little interest has been taken in the matter by State authorities. +Professor \textsc{Holden}, while Director of the Washburn Observatory, +once proposed to establish a standard meridian in every county-seat +in the State of Wisconsin, for the bare personal and traveling expenses +of an observer, an offer which was declined without thanks. + +There is no doubt that the Lick Observatory would assist in such +a plan for California, by every means in its power, should the proper +authorities be willing to pay the bare expense of the undertaking. + +It may be noted that the value of a standard line of reference is +particularly great in a newly settled country, where the compass is +more relied upon than it is in older communities with well-established +boundaries and landmarks. + +The scene of our operations in San José was what is known as +the ``Meridian Road,'' because it is supposed to be in the line of the +Mt.\ Diablo meridian. It has been the practice of surveyors to test +their instruments by sighting up and down this road, which, however, +contains no marks sufficiently definite to admit of a precise determination +by this method. The north end of the road terminates at a +high board fence which forms the southern boundary of the Fair +Ground, and on a shelf secured to this fence a mark was put up, +consisting of a hole one-half inch in diameter in a thin plate, illuminated +from behind by a bull's-eye lantern. Two thousand feet south +of the mark a substantial pier of brick and cement was built for the +support of the instrument. The mark was as nearly in the meridian +of the pier as could be determined with the aid of a compass. At +the pier it subtended an angle of $4''$, and to the naked eye appeared +as a star of about the first magnitude. + +The instrument employed was the \textsc{Repsold} altazimuth briefly +described in Vol.~I, Publications of the Lick Observatory, and more +completely in my report on the geographical position of Norman, +California, in the Reports on Observations of the Total Eclipse of +January~1, 1889, published by the Lick Observatory. It has vertical +and horizontal circles ten inches in diameter, read to $2''$ by micrometer +%-----File: 067.png----- +microscopes, or by estimation to $0''.2$. All necessary attachments +are provided for exact astronomical work. The time-piece used was +a sidereal chronometer, Negus 1720. + +Preliminary observations were made on the night of August 5th, +and more accurate ones on August 6th and 7th. The azimuth of the +mark was determined by alternate readings on the mark and on +\textit{Polaris} near eastern elongation, the instrument being reversed during +the measurements to eliminate the error of collimation. The latitude +of the pier was determined, with sufficient accuracy, by measuring +the zenith distances of four stars with the vertical circle, and the local +sidereal time by using the altazimuth as a transit instrument. No elaborate +time observations were made, as a knowledge of the time to +within one second is amply sufficient for computing the small reductions +to elongation. The horizontal circle was turned one-third round on August +7th, in order to bring different divisions under the microscopes. + +Ten observations of the mark and ten of \textit{Polaris}, on August 6th, +made the mark $1°~22'~48''.0$ west of the vertical circle passing through +the point of elongation. The computed azimuth of the star corrected +for diurnal aberration, was $1°~37'~7''.2$, hence the azimuth of +the mark was $+0°~14'~19''.2$. + +From six observations of the star and six of the mark, on August +7th the mark was west of the star $1°~22'~50''.6$. The computed +azimuth of the star was $1°~37'~6''.8$, and hence the azimuth of the +mark was $+ 0°~14'~16''.2$. The adopted azimuth of the mark was +$14'~17''.7$ east, which, at a distance of 2000 feet, corresponds to 8 +feet 3.8 inches, and the mark was moved this distance to the west +to bring it into the meridian of the centre mark on the pier. The +estimated probable error of the meridian is $2''$ or about one-quarter +of an inch at a distance of 2000 feet, a quantity thirty times smaller +than the smallest angle which is measured with ordinary surveying +instruments. From the above data permanent monuments will be +established by the Messrs.\ \textsc{Herrmann}. + +For the convenience of those who cannot avail themselves of this +meridian line, I have computed the following table of azimuths and +times of elongation of \textit{Polaris} for the latitude and longitude of San +José. The azimuths are given to the nearest $10''$; the times of +elongation in \textit{Standard Pacific Time} to the nearest minute. For +San Francisco the azimuths must be increased by $40''$, and the times +of elongation will be about two minutes later. An error of thirteen +minutes in the time of elongation will produce an error of only +$10''$ in the azimuth. The formulć from which this table was computed +%-----File: 068.png----- +may be found in \textsc{Doolittle's} Practical Astronomy (p.~527). + +If the meridian is determined from observations of \textit{Polaris} near +elongation by a surveyor's transit, the line of collimation must be +adjusted with especial care, so as to travel on a truly vertical line. As +there are several minutes near elongation during which the azimuth +of the star does not differ appreciably from the tabulated value, it is +better to make two observations of the star, one with reversed position +of the telescope, and take the mean of the readings of the horizontal +circle. It must be remembered that the reading of the compass +needle, when the sight line of the instrument is in the meridian, is +not necessarily the magnetic declination, since the line of zeros of +the compass circle may not be in the same plane with the line of collimation +(as, of course, it should be). The reading of the needle will, +however, be the declination \emph{for that particular instrument}, and true +bearings can be taken just as well as if the adjustment were perfect. +\bigskip + +\addcontentsline{toc}{section}{Table of Azimuths and Elongations of \textit{Polaris} for 1889 and 1890} + +\begin{small} +\begin{longtable}{c@{ }c@{ }r@{}|rr@{ }c@{ }|rr@{ }c@{ }|crrcc} +\multicolumn{14}{c}{\textsc{Table of Azimuths and Times of Elongation of \textit{Polaris}.}} +\\ +\multicolumn{14}{c}{\footnotesize (Computed for the latitude and longitude of San José, Cal., by \textsc{J. E. Keeler}.)} +\\ +\hline \hline + \multicolumn{3}{c|}{\footnotesize\textsc{ Date. }} +& \multicolumn{3}{c|}{\footnotesize\textsc{ W. Elongation. }} +& \multicolumn{3}{c|}{\footnotesize\textsc{ E. Elongation. }} +& \multicolumn{5}{c}{ \footnotesize\textsc{ Azimuth.\rule{0pt}{3ex} }}\\[1ex] +\hline +&&& {\footnotesize\textit{h.}} & {\footnotesize\textit{m.}} +&& {\footnotesize\textit{h.}} & {\footnotesize\textit{m.}} +&&&{\footnotesize°} +& \multicolumn{1}{c}{\footnotesize$'$} +& \multicolumn{1}{c}{\footnotesize$''$} +\endfirsthead +\hline \hline + \multicolumn{3}{c|}{\footnotesize\textsc{ Date. }} +& \multicolumn{3}{c|}{\footnotesize\textsc{ W. Elongation. }} +& \multicolumn{3}{c|}{\footnotesize\textsc{ E. Elongation. }} +& \multicolumn{5}{c}{ \footnotesize\textsc{ Azimuth.\rule{0pt}{3ex} }}\\[1ex] +\hline +&&& {\footnotesize\textit{h.}} & {\footnotesize\textit{m.}} +&& {\footnotesize\textit{h.}} & {\footnotesize\textit{m.}} +&&&{\footnotesize°} +& \multicolumn{1}{c}{\footnotesize$'$} +& \multicolumn{1}{c}{\footnotesize$''$} +\endhead +1889. & Sept. & 6\ldots & 8 & 19 & \textsc{a.m.} & 8 & 25 & \textsc{p.m.} && 1 & 37 & 00 \\ +& `` & 16\ldots & 7 & 39 & `` & 7 & 46 & `` && 1 & 36 & 50 \\ +& `` & 26\ldots & 7 & 00 & `` & 7 & 06 & `` && 1 & 36 & 50 \\ +& Oct. & 6\ldots & 6 & 21 & `` & 6 & 27 & `` && 1 & 36 & 40 \\ +& `` & 16\ldots & 5 & 42 & `` & 5 & 48 & `` && 1 & 36 & 40 \\ +& `` & 26\ldots & 5 & 03 & `` & 5 & 08 & `` && 1 & 36 & 30 \\ +& Nov. & 5\ldots & 4 & 23 & `` & 4 & 29 & `` && 1 & 36 & 30 \\ +& `` & 15\ldots & 3 & 44 & `` & 3 & 50 & `` && 1 & 36 & 20 \\ +& `` & 25\ldots & 3 & 05 & `` & 3 & 11 & `` && 1 & 36 & 20 \\ +& Dec. & 5\ldots & 2 & 25 & `` & 2 & 31 & `` && 1 & 36 & 20 \\ +& `` & 15\ldots & 1 & 46 & `` & 1 & 52 & `` && 1 & 36 & 10 \\ +& `` & 25\ldots & 1 & 06 & `` & 1 & 12 & `` && 1 & 36 & 10 \\ +1890 & Jan. & 4\ldots & \ 12 & 27 & `` & \ 12 & 33 & `` && 1 & 36 & 10 \\ +& `` & 14\ldots & 11 & 43 & \textsc{p.m.} & 11 & 53 & \textsc{a.m.} && 1 & 36 & 10 \\ +& `` & 24\ldots & 11 & 04 & `` & 11 & 14 & `` && 1 & 36 & 10 \\ +& Feb. & 3\ldots & 10 & 24 & `` & 10 & 34 & `` && 1 & 36 & 10 \\ +& `` & 13\ldots & 9 & 45 & `` & 9 & 55 & `` && 1 & 36 & 10 \\ +& `` & 23\ldots & 9 & 06 & `` & 9 & 16 & `` && 1 & 36 & 10 \\ +%-----File: 069.png----- +& Mar. & 5\ldots & 8 & 26 & \textsc{p.m.} & 8 & 36 & \textsc{a.m.} && 1 & 36 & 20 \\ +& `` & 15\ldots & 7 & 47 & `` & 7 & 57 & `` && 1 & 36 & 20 \\ +& `` & 25\ldots & 7 & 07 & `` & 7 & 17 & `` && 1 & 36 & 20 \\ +& April & 4\ldots & 6 & 28 & `` & 6 & 38 & `` && 1 & 36 & 30 \\ +& `` & 14\ldots & 5 & 48 & `` & 5 & 58 & `` && 1 & 36 & 30 \\ +& `` & 24\ldots & 5 & 09 & `` & 5 & 19 & `` && 1 & 36 & 40 \\ +& May & 4\ldots & 4 & 30 & `` & 4 & 40 & `` && 1 & 36 & 40 \\ +& `` & 14\ldots & 3 & 50 & `` & 4 & 00 & `` && 1 & 36 & 40 \\ +& `` & 24\ldots & 3 & 11 & `` & 3 & 21 & `` && 1 & 36 & 50 \\ +& June & 3\ldots & 2 & 32 & `` & 2 & 42 & `` && 1 & 36 & 50 \\ +& `` & 13\ldots & 1 & 53 & `` & 2 & 03 & `` && 1 & 36 & 50 \\ +& `` & 23\ldots & 1 & 14 & `` & 1 & 23 & `` && 1 & 36 & 50 \\ +& July & 3\ldots &\ 12 & 35 & `` &\ 12 & 44 & `` && 1 & 36 & 50 \\ +& `` & 13\ldots & 11 & 55 & \textsc{a.m.} & 12 & 04 & `` && 1 & 36 & 50 \\ +& `` & 23\ldots & 11 & 16 & `` & 11 & 22 & \textsc{p.m.} && 1 & 36 & 50 \\ +& Aug. & 2\ldots & 10 & 37 & `` & 10 & 43 & `` && 1 & 36 & 40 \\ +& `` & 12\ldots & 9 & 58 & `` & 10 & 04 & `` && 1 & 36 & 40 \\ +& `` & 22\ldots & 9 & 19 & `` & 9 & 25 & `` && 1 & 36 & 40 \\ +& Sept. & 1\ldots & 8 & 40 & `` & 8 & 46 & `` && 1 & 36 & 30 \\ +& `` & 11\ldots & 8 & 00 & `` & 8 & 06 & `` && 1 & 36 & 30 \\ +& `` & 21\ldots & 7 & 21 & `` & 7 & 27 & `` && 1 & 36 & 30 \\ +& Oct. & 1\ldots & 6 & 42 & `` & 6 & 48 & `` && 1 & 36 & 20 \\ +& `` & 11\ldots & 6 & 02 & `` & 6 & 08 & `` && 1 & 36 & 20 \\ +& `` & 21\ldots & 5 & 23 & `` & 5 & 29 & `` && 1 & 36 & 10 \\ +& `` & 31\ldots & 4 & 44 & `` & 4 & 50 & `` && 1 & 36 & 00 \\ +& Nov. & 10\ldots & 4 & 05 & `` & 4 & 10 & `` && 1 & 36 & 00 \\ +& `` & 20\ldots & 3 & 25 & `` & 3 & 31 & `` && 1 & 36 & 00 \\ +& `` & 30\ldots & 2 & 46 & `` & 2 & 52 & `` && 1 & 35 & 50 \\ +& Dec. & 10\ldots & 2 & 07 & `` & 2 & 12 & `` && 1 & 35 & 50 \\ +& `` & 20\ldots & 1 & 27 & `` & 1 & 33 & `` && 1 & 35 & 50 \\ +& `` & 30\ldots & 12 & 48 & `` & 12 & 54 & `` && 1 & 35 & 50 \\ +1891 & Jan. & 9\ldots & 12 & 09 & `` & 12 & 14 & `` && 1 & 35 & 40 \\ +\hline +\end{longtable} +\end{small} + +\clearpage +%-----File: 070.png----- + +\nbsectionheading{OCCULTATIONS OF STARS BY THE MOON.} +\addcontentsline{toc}{section}{Occultations of Stars by the Moon. Observed by \textsc{A.~O. Leuschner}} + +\nbsubsubsectionheading{\shortrule[6ex]\\* +\textsc{Observed by A.~O. Leuschner.}} + +\bigskip +\begin{tablesetup} +\begin{tabular}{c@{\ }r| l@{\ }r@{\ }r@{}| rrr@{\ }| c|c|lll} +\hline\hline + \multicolumn{2}{m{3em}|}{\centering\footnotesize\textsc{ + Date.}} +& \multicolumn{3}{m{10em}|}{\centering\footnotesize\textsc{ + Star.}} +& \multicolumn{3}{m{6em}|}{\centering\footnotesize\textsc{ + Mt.\ H. M.~T. of Disappearance.}\rule{0pt}{3ex}} +& \multicolumn{1}{m{4em}|}{\centering\footnotesize\textsc{ + Telescope.}} +& \multicolumn{1}{m{4em}|}{\centering\footnotesize\textsc{ + Power.}} +& \multicolumn{3}{m{5em}}{\centering\footnotesize\textsc{ + Remarks.}} +\\[1ex] \hline + \multicolumn{2}{c|}{1889.} +&&&& {\footnotesize h.} & {\footnotesize m.} +& \multicolumn{1}{c|}{\footnotesize s.} &&&&& +\\ + Aug. & 29 & S D. ( $-$ & 3°) & 3459\dotfill & 7 & 26 & 31.9 +& 12-in. & 80 & \multicolumn{3}{l}{ Good. } +\\ + `` & 29 & S D. ( $-$ & 3°) & 3468\dotfill & 8 & 5 & 26.6 +& `` & `` \\ + `` & 29 & S D. ( $-$ & 3°) & 3469\dotfill & 8 +& \multicolumn{1}{@{}c@{}}{[10]} & 2.3 +& `` & `` & \multicolumn{3}{m{5em}}{\raggedright Minute probably 10.} +\\ + `` & 29 & S D. ( $-$ & 3°) & 3470\dotfill & 8 & 13 & 40.1 +& `` & `` & \multicolumn{3}{l}{ Good.} +\\ + `` & 30 & S D. ( $-$ & 8°) & 3733\dotfill & 7 & 27 & 22.5 +& `` & `` && `` +\\ + `` & 30 & S D. ( $-$ & 8°) & 3736\dotfill & 7 & 39 & 51.1 +& `` & `` && `` +\\ + `` & 30 & S D. ( $-$ & 9°) & 3896\dotfill & 7 & 58 & 51.5 +& `` & `` && `` +\\ + `` & 30 & S D. ( $-$ & 8°) & 3739\dotfill & 8 & 17 & 24.7 +& `` & `` && `` +\\ + `` & 30 & S D. ( $-$ & 9°) & 3898\dotfill & 8 & 19 & 24.0 +& `` & `` && `` +\\ + Sept. & 2 & S D. ( $-$ & 21°) & 4494\dotfill & 7 & 48 & 45.1 +& 6-in. & 75 && `` +\\ + `` & 2 & S D. ( $-$ & 21°) & 4496\dotfill & 7 & 50 & 32.9 +& `` & `` && `` +\\ + `` & 2 & S D. ( $-$ & 21°) & 4512\dotfill & 9 & 10 & 59.9 +& 12-in. & 80 && `` +\\ + `` & 3 & \multicolumn{2}{l}{ C Z. \textsc{xvii} h. } & 3871\dotfill +& 7 & 54 & 10.9 & `` & `` +\\ + `` & 3 & \multicolumn{2}{l}{ C Z. \textsc{xvii} h. } & 3960\dotfill +& 8 & 13 & 50.7 & `` & `` +\\ + `` & 3 & \multicolumn{2}{l}{ C Z. \textsc{xvii} h. } & 3978\dotfill +& 8 & 22 & 40.4 & `` & `` && `` +\\ + `` & 3 & \multicolumn{3}{l|}{ Anonymous 9.0 } &&&&&&&& \\ +&& \multicolumn{3}{l|}{ \tablenoteasterisk17h.\ 58m.\ 26s.; $-23°\, 16'.0$ } +& 9 & 12 & 46.4 & `` & `` && `` +\\ + `` & 3 & \multicolumn{3}{l|}{ Anonymous 9.0 } &&&&&&&& \\ +&& \multicolumn{3}{l|}{ \tablenoteasterisk17h.\ 58m.\ 37s.; $-23°\, 18'.7$ } +& 9 & 15 & 28.9 & `` & `` && `` +\\ + `` & 3 & \multicolumn{3}{l|}{ Anonymous 9.0 } &&&&&&&& \\ +&& \multicolumn{3}{l|}{ \tablenoteasterisk17h.\ 58m.\ 12s.; $-23°\, 27'.3$ } +& 9 & 34 & 24.5 & `` & `` && `` +\\ + `` & 3 & \multicolumn{3}{l|}{ \label{cor3}W M Z\@. 175\dotfill} & 9 & 50 & 8.6 % corrected per corrigenda +& `` & `` && `` +\\ + `` & 3 & \multicolumn{3}{l|}{ Anonymous 8.0 } &&&&&&&& \\ +&& \multicolumn{3}{l|}{ \tablenoteasterisk18h.\ 0m.\ 1s.; $-23°\, 27'.0$ } +& 10 & 0 & 0.2 & `` & `` && `` +\\ + `` & 3 & \multicolumn{3}{l|}{ Anonymous 8.5 } &&&&&&&& \\ +&& \multicolumn{3}{l|}{ \tablenoteasterisk18h.\ 0m.\ 41s.; $-23°\, 26'.4$ } +& 10 & 21 & 8.4 & `` & `` && `` +\\ +`` & 3 & \multicolumn{2}{l}{ C Z. \textsc{xvii} h. } & 133\dotfill +& \ 10 & 23 & 24.4 & `` & `` && `` +\\ \hline +& \multicolumn{10}{l}{\footnotesize * These positions are for 1850.0.} +\end{tabular} +\end{tablesetup} +%-----File: 071.png----- + +\nbsectionheading{CONJUNCTION OF MARS AND SATURN (\textsc{Sept.~20, 1889}).} +\addcontentsline{toc}{section}{Conjunction of Mars and Saturn (September~20, 1889). By \textsc{W.~E. Downs.}} + +\nbsubsubsectionheading{\shortrule\\* +\textsc{By W.~E. Downs.}\\* +\shortrule} + +The observations were made with the four-inch broken-tube +comet-seeker. The times were noted on a watch running on P.S.T. +A magnifying power of about thirty diameters was used. + +\begin{description} +\item[$4^\text{h}$ $00^\text{m}$.] First sight of \textit{Saturn} and \textit{Mars} in the telescope, through +a very dense haze. \textit{Mars} appeared as a very red, ill-defined spot of +light. \textit{Saturn} was very red, but less so than \textit{Mars. Regulus} was +also visible in the same field, to the south, and eight or ten times +more distant from the planets than the space between them, and +was of a lighter red color and fainter than either planet. + +\item[$4^\text{h}$ $15^\text{m}$.] Both planets were visible to the naked eye, and easily +separated as soon as seen. + +\item[$4^\text{h}$ $25^\text{m}$.] \textit{Saturn}, in the telescope, was of an orange color, and +\textit{Mars} of a light red. + +\item[$4^\text{h}$ $45^\text{m}$.] To the eye \textit{Saturn} was about as bright as \textit{Polaris}, and +\textit{Mars} a little fainter. + +\item[$5^\text{h}$ $15^\text{m}$.] Broad daylight approached fast. $\theta$ \textit{Tauri} was still +easily visible to the naked eye, and \textit{c Orionis}, fifth magnitude, was +barely visible and disappeared at $5^\text{h}$ $20^\text{m}$. $\theta$ \textit{Orionis} disappeared at +$5^\text{h}$ $23^\text{m}$, and \textit{Saturn} and \textit{Mars} at $5^\text{h}$ $30^\text{m}$. + +\item[$5^\text{h}$ $40^\text{m}$.] \textit{Saturn} and \textit{Mars} were of a very light yellow color in +the telescope; \textit{Mars} being very slightly tinged with red. \textit{Regulus} +was white. + +\item[$5^\text{h}$ $50^\text{m}$.] \textit{Venus} was still easily visible to the eye. The clouds +were getting ruddy in the east. \textit{Saturn} and \textit{Mars} were growing +very rapidly fainter. After this \textit{Regulus} was not kept in the field of +the telescope. + +\item[$5^\text{h}$ $55^\text{m}$.] \textit{Mars} was easier to see than \textit{Saturn}, the light from it +being more vivid. + +\item[$6^\text{h}$ $00^\text{m}$.] \textit{Saturn} and \textit{Mars} last seen in the telescope, and the +sun's disc about two-thirds up. As the sun rose, its disc was round +and red, and was crossed by horizontal cloud-belts. + +\item[$6^\text{h}$ $05^\text{m}$.] \textit{Venus} was still visible to the eye. + +\item[$6^\text{h}$ $10^\text{m}$.] Lost sight of \textit{Venus}, and did not again recover it. The +sun was too far up to look at comfortably. +\end{description} +%-----File: 072.png----- + +\textit{Regulus, Saturn} and \textit{Mars} formed an interesting triangular +group, the angle at \textit{Saturn} being slightly obtuse. This angle remained +sensibly the same throughout the observations, although the +planets were separating.\\* +\rightline{\textsc{W.~E. Downs}.\quad}\\*[1ex] +{\small\indent \textsc{Mt.~Hamilton}, 1889, Sept.~22.} + + +\nbsectionheading{A VERY REMARKABLE COMET.} +\addcontentsline{toc}{section}{A very remarkable Comet (\textsc{Brooks}, July~7, 1889). By \textsc{E.~E. Barnard}} + +\nbsubsubsectionheading{\shortrule\\* +\textsc{By Edward E. Barnard.}\\* +\shortrule} + +On the morning of July 7th, a small comet was discovered by +Mr.\ \textsc{Brooks} in the constellation Cetus. The moon coming into the +morning sky blotted the comet out before any observations (except +three at the Lick Observatory) could be made of it. When a sufficiently +long interval was obtained the orbit was computed, and from +the small inclination of its path to that of the earth it was at once +suspected to be periodic; the suspicion has since been verified, the +comet having a period of about seven or eight years. This was sufficient +of itself to make it of more than ordinary interest. While +observing this object in the first part of August I discovered that it +was attended by at least four companions, which were moving through +space in advance of the main comet. Two of these companions +were discovered with the twelve-inch on August 1st, and the other +two on August 4th with the great telescope. These last two were +seen several times, but always remained too faint to be measured, +and finally disappeared. + +The two brighter companions were perfect miniatures of the +larger comet, each having a small, fairly well-defined head and +nucleus, with a faint, hazy tail, the more distant one being the larger +and less-developed. The three comets were in a straight line, nearly +east and west, their tails lying along this line. There was no connecting +nebulosity between these objects, the tails of the two smaller +not reaching each other or the large comet. To all appearance they +were absolutely independent comets. The four which were discovered +here I have named B, C, D, E, in the order of increasing right +ascension, A being the original comet discovered by Mr.\ \textsc{Brooks}. As +D and E disappeared after a few observations, they will not be again +referred to; they were both north following C and in a line with it. + +Since discovery I have measured these objects on every available +%-----File: 073.png----- +occasion, using the micrometer of the thirty-six-inch equatorial. It +was found that these two were separating from the main comet quite +rapidly; the more distant one moving the fastest. Towards the latter +half of August the nearer companion B ceased to recede, and +then underwent a remarkable change. It enlarged rapidly, becoming +extremely diffused, and losing all appearance of central condensation. +It could be measured only with the utmost difficulty. +Throughout its visibility its position angle remained almost constant; +towards the last, however, this angle began slowly but sensibly to +increase as if the companion were in orbital motion. Unfortunately, +at this most important point in the observations, the companion +faded rapidly and totally from view, being last seen on the 5th of +September. It disappeared as absolutely from the face of the +heavens as did Biela's comet, which doubtless underwent a similar +dissolution. + +In the meantime the more distant companion continued to recede, +and increased very much in brightness and size, until on August 31st +it was perceptibly brighter than the larger comet! In the latter half +of September it, too, became stationary with reference to the principal +comet; remaining thus for some days, it began slowly to lessen its +distance, having attained a maximum distance of $356''$. This object +has also undergone a change in appearance similar to that in the +lost companion. Its tail has disappeared, and the head has become +large and much diffused, its brightness in the meantime having +diminished very greatly. The position angle of this object has +remained remarkably constant for the past two months; it attained +a maximum of about 62° in the middle of September; since then it +has been slowly decreasing, until it is now the same as when first +observed. + +Measures of the companion B on twenty-two nights were obtained, +and up to the present date measures of C have been made +on forty nights. + +The following, selected from the observations, will give an idea +of the relative positions of this group: +\begin{tablesetup} +\begin{tabular}{l@{ }r *{5}{c@{ }} l@{ } *{4}{c@{ }} r} +&&&&&&&\multicolumn{1}{c}{°\mbox\;} +&&&&& \multicolumn{1}{c}{$''$} \\ + Aug. & 1. & Position & angle & A & and & B, & 59.4; +& distance & A & and & B, & 64.1.\\ + Sept.& 4. & `` & `` & `` & `` & ``\; & 65.0 +& `` & `` & `` & ``\; & 71.5.\\ + Aug. & 4. & `` & `` & A & and & C, & 61.5 +& `` & A & and & C, &267.6.\\ + Sept.& 15. & `` & `` & `` & `` & ``\; & 62.1 +& `` & `` & `` & ``\; &356.4.\\ + Sept.& 30. & `` & `` & `` & `` & ``\; & 61.4 +& `` & `` & `` & ``\; &352.1. +\end{tabular} +\end{tablesetup} + +It is hoped that through measures of the relative positions of +%-----File: 074.png----- +these bodies we shall be enabled to detect orbital motion of the +smaller ones about the larger. If this were shown to exist, we +should at once have the means of determining the mass of this +cometary system. These changes may, however, be due to perspective. + +So far as we know, the phenomenon presented by this comet is +extremely rare. It is needless to repeat the story of Biela's comet. +In 1845 it separated into two distinct comets, which traveled side by +side, and returning at the appointed time, they were seen to be +widely separated---indeed, moving in distinctly separate paths; they +then disappeared, to be seen no more in the heavens. One of the +comets of 1861 was seen double for a few days. Some companions +were seen moving with the Great Comet of 1882, but no measurements +were made. This covers our knowledge of multiple comets, +or comets with companions, unless, indeed, we accept the evidence +of the Chinese records, which possibly describe comets that consisted +of two or more parts.\\*[1ex] +{\small\indent\textsc{Mt.~Hamilton,} September~30, 1889.} + +\medskip +\begin{small} +\textsc{Note.}---In order not to delay the publication of the present number, the +printing of two papers on Drawings of \textit{Jupiter} in the years 1875--1883, by Messrs.\ \textsc{Holden} +and \textsc{Barnard}, is postponed to the next number. + +\end{small} + +\ThoughtBreakLong + + +\nbsectionheading{NOTICES FROM THE LICK OBSERVATORY.} +\addcontentsline{toc}{section}{\textit{Notices from the Lick Observatory}} + +\nbsubsubsectionheading{\shortrule\\* +{\small \textsc{Prepared by Members of the Staff.}}\\* +\shortrule} + +\nbsubsectionheading{Photographing the Milky Way.} +\addcontentsline{toc}{subsection}{\qquad Photographing the Milky Way. By \textsc{E.~S. Holden}} + +The great success obtained by Mr.\ \textsc{Barnard} in his preliminary +experiments with the \textsc{Willard} portrait lens ($a=5.9$, $f=30.7$) has +led to the determination to employ it in making a systematic study +of the Milky Way by photography. For this purpose it has been +mounted at the object-glass end of the tube of the great telescope, +and arrangements made by which the lens can be capped and uncapped +from the eye end. The driving clock of the great telescope +(with a control) will keep the camera directed at the star-group +chosen during an exposure of two hours. An independent equatorial +stand for this instrument is very desirable, but cannot be had +%-----File: 075.png----- +at present. Plates $8×10$ are used, which correspond to about 16 +by 20 degrees. The definition is good over the central 10 or 11 +degrees.\pushright{E.~S.~H.} + +\bigskip + + +\nbsubsectionheading{Occultation of \textit{Jupiter}, 1889, September~3.} +\addcontentsline{toc}{subsection}{\qquad Occultation of Jupiter, 1889, September~3} + +\begin{tablesetup} +\begin{tabular}{l|l|l|l|l} +\hline\hline +\multicolumn{1}{c|}{ +\multirow{6}{*}{\footnotesize\textsc{Phenomenon Observed.}}} +&\multicolumn{4}{c}{}\\ +&\multicolumn{4}{c}{\footnotesize\textsc{ + Initials of the Observer.}}\\ +&\multicolumn{4}{c}{}\\ +\cline{2-5} +&\multicolumn{4}{c}{}\\ +&\multicolumn{4}{c}{\footnotesize\textsc{ + Lick Observatory Mean Time.}}\\ +&\multicolumn{4}{c}{}\\ +\hline +& \multicolumn{1}{c|}{J.~E.~K.}& \multicolumn{1}{c|}{E.~E.~B.} +& \multicolumn{1}{c|}{C.~B.~H.} +& \multicolumn{1}{c }{A.~O.~L.\rule{0pt}{3ex}}\\ +& \multicolumn{1}{c|}{\rule[0.5ex]{2em}{.2pt}} +& \multicolumn{1}{c|}{\rule[0.5ex]{2em}{.2pt}} +& \multicolumn{1}{c|}{\rule[0.5ex]{2em}{.2pt}} +& \multicolumn{1}{c }{\rule[0.5ex]{2em}{.2pt}} +\\ +& \textit{\footnotesize h.\ m.\quad s.} +& \textit{\footnotesize\,m.\quad s.} +& \textit{\footnotesize\,m.\quad s.} +& \textit{\footnotesize\,m.\quad s.}\\ + +First Contact of \textit{Jupiter}\dotfill +& 5 25 39.1& 25 41.3& 25 43.5\tablenoteasterisk& 25 41.6\\[1ex] +Second Contact of \textit{Jupiter}\dotfill +& 5 27 50.7& 27 47.3& 27 47.8& 27 43.9\\[1ex] +Reappearance of Satellite II\dotfill +& 6 11 33$\pm$ +& \multicolumn{1}{c|}{\ldots\ldots} +& \multicolumn{1}{c|}{\ldots\ldots} +& \multicolumn{1}{c }{\ldots\ldots} +\\[1ex] +Reappearance of Satellite IV. +& 6 16 46.2 +& \multicolumn{1}{c|}{\ldots\ldots} +& \multicolumn{1}{c|}{\ldots\ldots} +& \multicolumn{1}{c }{\ldots\ldots} +\\[1ex] +Third Contact of \textit{Jupiter}\dotfill +& 6 19 17.2 +& \multicolumn{1}{c|}{\ldots\ldots} +& \multicolumn{1}{c|}{\ldots\ldots} +& 19 26.2\\[1ex] +Fourth Contact of \textit{Jupiter}\dotfill +& 6 21 39$\pm$& 21 38.3::& 21 39.5::& 21 32.2\\[1ex] +Reappearance of Satellite I\dotfill +& 6 23 12.8& 23 15.7::& 23 16.0\tablenotedagger +& \multicolumn{1}{c }{\ldots\ldots} +\\ +& \multicolumn{1}{c|}{\rule[0.5ex]{2em}{.2pt}} +& \multicolumn{1}{c|}{\rule[0.5ex]{2em}{.2pt}} +& \multicolumn{1}{c|}{\rule[0.5ex]{2em}{.2pt}} +& \multicolumn{1}{c }{\rule[0.5ex]{2em}{.2pt}} +\\ +(Instrument employed)\dotfill +& \multicolumn{1}{c|}{\textit{36-inch Tel.}} +& \multicolumn{1}{c|}{\textit{\ 12-inch Tel.}} +& \multicolumn{1}{c|}{\textit{6\,\raisebox{.2ex}{\tiny$^{1}\!/\!_{2}$}-in. Tel.}} +& \multicolumn{1}{c }{\textit{Comet seeker.}}\\[1ex] +\hline +\multicolumn{5}{l}{\begin{footnotesize} +\textsc{Observers' Notes}.---* 3--5 secs.\ late; \quad$\dagger$ 2--3 secs.\ late. +\end{footnotesize}} +\end{tabular} +\end{tablesetup} + +\begin{small} +\medskip +Mr.\ \textsc{Schaeberle} obtained several photographs of the Moon and \textit{Jupiter} +after IVth Contact. + +\medskip +\textit{Observers}: \;Mr.\ \textsc{Keeler}\,=\,J.~E.~K.; \;Mr.\ \textsc{Barnard}\,=\,E.~E.~B.; +\;Mr.\ \textsc{Hill}\,=\,C.~B.~H.; \;Mr.\ \textsc{Leuschner}\,=\,A.~O.~L. + +These observations have been printed \textit{in extenso} in the \textit{Astronomical Journal}, +Vol.~9, page~84 \textit{et seq.} + +\end{small} + + +\nbsubsectionheading{Examination of Stellar Photographs.} +\addcontentsline{toc}{subsection}{\qquad Examination of Stellar Photographs. By \textsc{E.~S. Holden}} + +If it is desired to obtain \emph{all} the information which can be had +from a given negative, it is necessary to make a positive copy of it on +glass, and to examine both negative and positive independently. +Each presents a different set of contrasts. The negative will show +the empty spaces and lanes between stars; the positive will show the +arrangement of the stars themselves. It is only by examining both +that \emph{all} the information can be had from a given exposure. This is +certainly true for stellar photographs, and it is even more important +in regard to photographs of surfaces,---as nebulć, the corona, etc. +It should also be remembered that no single negative can establish +the existence of a new nebula. At least two are required. +%-----File: 076.png----- + +Experiments by Mr.\ \textsc{Barnard} have shown that many features +may be brought out by the simple device of copying the whole of an +$8×10$ plate on a plate of $3\frac{1}{4} × 4\frac{1}{4}$ inches. This process is analogous +to the automatic one by which a person places a picture to be +viewed at an appropriate distance for seeing the particular details he +wishes to examine. Enlargements of negatives are sometimes serviceable, +also. These simple precautions are worth mentioning, as +they help to emphasize a fundamental point, namely,---that it is far +more important to extract all possible information from a few photographs, +than to make large collections of negatives without sufficiently +examining each of them.\pushright{E.~S.~H.} + +\nbsubsectionheading{Review of the Early Numbers of the \textit{Publications of the Astronomical Society of the Pacific}.} +\addcontentsline{toc}{subsection}{\qquad Review of the early numbers of the Publications of the Astronomical Society of the Pacific [by Professor \textsc{E.~Schoenfeld}]} + +The \textit{Vierteljahrsschrift} of the German Astronomical Society +(Vol.~24, 1889, p.~210) has a very friendly review of the Nos.~1 +and 2 of our own \textit{Publications}, written by Professor E. \textsc{Schoenfeld}, +Director of the Observatory of Bonn. The last paragraph is: +``The Reviewer has no right to speak in this place in the name of +the \textit{Astronomische Gesellschaft}; but, in his own name and in that +of other members, he expresses a hearty greeting to the new Society +which has been founded on the Coast of the Pacific Ocean and +wishes for it all success and prosperity.'' + +It will be gratifying to our members to know of this early and +courteous recognition of our modest beginnings.\pushright{E.~S.~H.} + +\nbsubsectionheading{Note on the Corona of January~1, 1889.} +\addcontentsline{toc}{subsection}{\qquad Note on the Corona of January~1, 1889 [by Professor \textsc{P. Tacchini}]} + +Professor \textsc{Tacchini} has a note in the \textit{Atti della R. Accademia +dei Lincei} 1889, page 472, on the corona as shown in a positive-copy +on glass of one of Mr.\ \textsc{Barnard's} negatives. The corona extends, +he says, from $+64°$ to $-68°$ on the west limb of the Sun, and +from $+53°$ to $-68°$ on the east limb. These are about the limits +of the zone of the maximum frequency of protuberances defined by +Professor \textsc{Tacchini's} own observations. Two of the protuberances +of the photograph were observed at Rome and at Palermo. The +other protuberances shown on the photograph were not seen by the +spectroscope, and Professor \textsc{Tacchini} surmises that they belong to +the class of \emph{white} protuberances discovered by him at the eclipses +of 1883 and 1886. This surmise is completely corroborated by +%-----File: 077.png----- +the observations of Professor \textsc{Swift} (L.~O. Eclipse Report, 1889, +Page~203).\pushright{E.~S.~H.} +\medskip + +\nbsubsectionheading{Zenographical Fragments.} +\addcontentsline{toc}{subsection}{\qquad Zenographical Fragments [by \textsc{A. Stanley Williams, F.~R.~A.~S.}]. Notice by \textsc{E.~S. Holden}} + +\nbsubsubsectionheading +{\textit{The Motions and Changes of the Markings on Jupiter, during 1886--7.}} + +Under this title Mr.\ A.~\textsc{Stanley Williams}, F.R.A.S., has +printed a handsome octavo volume, of 118 pages and nine carefully +executed plates, which gives the results of his own observations during +1886--7 with a $6\frac{1}{2}$ inch reflecting telescope (power 170). The +work consists of seven sections, as follows: Section I treats of the +instrument and the methods of observation (usually transits over +the central meridian, 312 of which were observed); II treats of the +construction of the chart of the markings on \textit{Jupiter} (which gives +the relative positions of all the spots from all the observations, reduced +to the positions which they would have occupied had every +observation been made April~21, 1887, the date of opposition); +III speaks of the general arrangement of the belts, and gives an excellent +system of nomenclature for the various separate features; +IV, by far the longest section, presents the observations of the different +spots in a most convenient form; V gives a summary of rotation +periods in different Jovian latitudes; VI relates to the different +altitudes (in \textit{Jupiter's} atmosphere) of the different features; while +VII treats of the repellant influence apparently exercised by the +Red Spot on markings in its neighborhood. + +This work deserves an extended notice, which cannot be given +here; but it should not be allowed to pass without remark, since it +affords an admirable example of just the kind of work which amateur +observers can prosecute with great success. Its author (a professional +man, constantly occupied) has chosen a definite problem, suitable +to his instrumental equipment, and by dint of clear conceptions +of the nature of the problem to be solved and of persevering observations +in his leisure moments, has produced a work of lasting value. +It appears that this volume is to be followed by others on the same +subject from the same hand. It can be obtained from \textsc{Mitchell \& +Hughes}, publishers, 140 Wardour street, London. The price is +not stated.\pushright{E.~S.~H.} + +\nbsubsectionheading{Accommodation for Visitors to the Observatory.} +\addcontentsline{toc}{subsection}{\qquad Accommodation for Visitors to the Observatory} + +In order to accommodate visitors to the Observatory on the public +evenings, a continuous bench, long enough to seat one hundred +%-----File: 078.png----- +persons, has been built on the east, south and west sides of the upper +gallery of the large dome. As we sometimes have as many as +two hundred and fifty visitors to the Observatory during one of our +public nights, this addition has become necessary. + +The Gundlach Optical Co., of Rochester, N.~Y., is making a +low-power eye-piece with a large field---something like half a degree---for +the use of visitors who come to see the Moon. Such an eye-piece +will show enough of the lunar surface to make a \emph{picture} with a +background of sky, which is what is really needed to convey the +effect. The eye-pieces used in the regular astronomical observations +have fields of view of hardly more than $10'$ of arc, and, hence, only +serve to show a limited portion of the Moon's surface---less than +one-tenth, usually. As the image of the Moon in the large telescope +is 6.51 inches in diameter, it follows that the field lens of the new +eye-piece must be of about the same dimensions. It will be useful +in real work also, for objects like nebulć and comets, where a large +field and full contrast are required.\pushright{E.~S.~H.} + +\nbsubsectionheading{American Equatorial Mountings on Sale in Berlin.} +\addcontentsline{toc}{subsection}{\qquad American Equatorial Mountings in Berlin} + +The Observatory has lately received the price-list of \textsc{Th. Wegener} +of Berlin. So far as I have examined it, the instruments appear to be +well-designed. It is not for this reason that it is mentioned, but +because, on page 6, there is given a full-page wood-cut of the equatorial +telescope and mounting of the Observatory of Beloit College, +Wisconsin. This admirable mounting was made by \textsc{Warner \& +Swasey}, of Cleveland, from their own designs, and it is an excellent +model to follow. It would have been more straightforward for Herr +\textsc{Wegener} to have made some acknowledgment of the source from +which he derived his model. His wood-cut has no title, and conveys +the impression that the design was made by him. Messrs.\ \textsc{Warner +\& Swasey} have, however, no cause to complain. Imitation is the +sincerest flattery. I can heartily recommend the design of the mounting +which Herr \textsc{Wegener} proposes to make.\pushright{E.~S.~H.} + +\nbsubsectionheading{Notes on Double Stars.} +\addcontentsline{toc}{subsection}{\qquad Notes on Double Stars. By \textsc{S.~W. Burnham}} + +The \textsc{Herschel} companion to $\phi^{1}$ \textit{Aquarii} is shown in the 36-inch +telescope to be a very close double star. From a single measure +the distance appears to be less than $0''.15$, and, of course, it is a different +object, even in a large refractor. This companion has the +same proper motion as the large star, and the relative change is +%-----File: 079.png----- +practically nothing since the measures of \textsc{Struve}, in 1836, when +the distance was $49''.63$ in the position-angle of 312°.2. + +Prof. \textsc{Hough} found the neighboring star $\phi^{3}$(95) \textit{Aquarii} double, +with the Chicago $18\frac{1}{2}$-inch refractor, in 1884, the companion being +eleventh magnitude, at a distance of a little more than $1''$. Last year +this was noted independently here with the 12-inch, and measured +on three nights, the result being substantially the same as the +single measure by \textsc{Hough} in 1884. In the course of the observations +given above, this star was looked at with the 36-inch on two or +three nights, but there was not the faintest trace of the companion. +I am wholly unable to account for this failure, as there was apparently +no change in the preceding four years. It should be carefully +watched hereafter. + +The sixth magnitude star, 44 \textit{Cassiopeić}, has a minute attendant, +hitherto unseen, at a distance of $1''.7$ from the principal star. + +Several new pairs have been found in the \textit{Pleiades}, one of them +following \textit{Alcyone} $64^{\text{s}}$ and about $4'$ north. This is a difficult pair, as +the distance is only $0''.3$, and the components below the ninth magnitude. +Another new pair, still more difficult, is $55^{\text{s}}$ following \textit{Pleione} +(28 \textit{Tauri}). The distance of this pair is about $0''.4$, but the components +are only $11\frac{1}{2}$ magnitude. + +Since the time of \textsc{Herschel}, 67 \textit{Ophiuchi} has been known as a +wide double star ($54''$). The large telescope shows a very faint star +at a distance of $6''.8$. + +The star D.~M. 63°, 1618, has a very small companion at a distance +of $4''.3$. The principal star is brighter than sixth magnitude, +but is strangely wanting in nearly all of the star catalogues covering +this part of the heavens. It is not in the B.~A.~C., Radcliffe (1 and 2), +Lalande, Argelander U.~N., Heis, Piazzi, Bradley, Romberg, AOe, +Grant, D'Agelet, Armagh, Yarnall, Bonn observations. In fact, it is +found only in the D.~M. and Rumker (No. 8289), the magnitudes +being 5.9 and 5.6, respectively. In the Harvard Photometry the +magnitude is 5.82. In observing it here as a double star the magnitude +was estimated 5.8. It does not appear to be variable, and is +probably a rare example of star catalogue omissions. The attention +of meridian observers is called to this object.\footnote{This star will be observed by Professor \textsc{Schaeberle} with the L.~O. meridian circle.---E.~S.~H.} + +The double star, $\Sigma 2816$, consists of a sixth magnitude primary, +and two $7\frac{1}{2}$ m.\ companions with distances from the larger star of +about $12''$ and $20''$, respectively. These stars have remained relatively +%-----File: 080.png----- +fixed since 1832. The large telescope shows a minute companion +within $1''.5$ of the large star. + +The fifth magnitude star, 2 \textit{Andromedć}, is a very close and difficult +pair, the distance being only $0''.8$, and the components quite +unequal. This was suspected with the 12-inch, and verified and +measured with the 36-inch. + +\textsc{Herschel} noted a ninth magnitude companion to $\alpha$ \textit{Cassiopeić} at +a distance of $63''$. The large telescope shows a very faint star at a +distance of $17''.5$. + +The distance of the close pair in $\gamma$ \textit{Andromedć} (0$\Sigma$38) is now +less than $0''.1$. It is very difficult, and the best conditions are +necessary to see the elongation at all with the large telescope. + +The binary star, 7 \textit{Tauri}, has been rapidly changing. The distance +now is $0''.30$. + +The large refractor fails to show any third star in the system of +70 \textit{Ophiuchi}, and both components are single with all powers. At +one time 72 \textit{Ophiuchi} was thought to be double (0$\Sigma$342), but no +companion can be seen here.\pushright{S.~W.~B.} + +\medskip +\nbsubsectionheading{Notes on Stellar Spectra.} +\addcontentsline{toc}{subsection}{\qquad Notes on Stellar Spectra. By \textsc{J.~E. Keeler}} + +The spectra of the following stars (among many others) have been +examined here during the past summer with a small spectroscope +attached to the 36-inch equatorial, and in response to inquiries which +have been made, I give below a preliminary statement of the results. +The spectroscope which was used has no measuring apparatus, and +the positions of lines are merely eye estimates. + +$\gamma$ \textit{Cassiopeić}. This star is the most conspicuous example of +\textsc{Vogel's} class I\textit{c}, and remarkable changes in the bright lines in its +spectrum have been observed by \textsc{von Konkoly}, \textsc{von Gothard} and +others. I have therefore examined it frequently, but, so far, no +changes have been seen. The C and F lines are brilliant, narrow +and sharp; H$\gamma$, in the violet, is seen with some difficulty. The +green is full of very fine, delicate dark lines, seen only under good +atmospheric conditions, the \textit{b} group being somewhat more prominent +than the others. There is also an appearance of faint bright lines in +the green, which may be due to the actual existence of bright lines, +or, perhaps, to spaces between the fine dark lines just mentioned, +seeming bright by contrast. It is difficult to decide on this point. +There are in all eight or ten such places. Somewhat nearer to C +than to the estimated position of D is a fairly prominent dark band, +%-----File: 081.png----- +or, more probably, group of fine lines. Not the slightest trace of +either dark or bright lines can be seen in the vicinity of D. The +continuous spectrum close to the bright hydrogen lines appears +somewhat darker than it does elsewhere, but this I have considered +to be the effect of contrast. + +\textit{U Cygni}. This is a very red star, with a spectrum described by +\textsc{Dunér} as III\textit{b}. When examined with the 36-inch refractor it was +of about the tenth magnitude, and the spectrum was dim, but the +zones in the lower part could be distinguished. The blue was +excessively faint. There was no appearance of bright lines. + +\textit{V Cygni} is also a very red star, and when examined with the +spectroscope was of about the same brightness as \textit{U Cygni}. Its +spectrum is described by \textsc{Dunér} as III\textit{b}! The sky was remarkably +smoky when observations were made here, and the spectrum was +dim, but at three places in the yellow and green shone with such +comparative brightness that these places appeared like bright lines. +The brightest was the more refrangible yellow line. It is possible +that these lines may be the edges of the usual zones of class III\textit{b}, +as \textsc{Dunér} says the yellow and green zones are very bright, but the +appearance was more like that of bright lines. + +\textit{D.~M. 43°, No}.~3571. This is a star recently found by Prof.\ \textsc{Pickering}, +by the aid of photography (A.~N. 2912), to belong to +class II\textit{b}. It is much like the other stars of this class found by +Prof.\ \textsc{Pickering} and by \textsc{Wolf} and \textsc{Rayet}. The faint spectrum +connecting the principal bright lines in the spectra of these stars +appears to be continuous with a small instrument, but with the +36-inch refractor is seen to be an extremely complicated range of +absorption bands and faint bright lines. The above star differs +from others that I have examined in the unusual broadness and +diffuseness of these faint bands.\pushright{J.~E.~K.} + +\nbsubsectionheading{``An Improved Astronomical Mirror.''} +\addcontentsline{toc}{subsection}{\qquad ``An Improved Astronomical Mirror''} + +A device for constructing large telescope mirrors, which has recently +been patented (at an expense of \$60), is described under the +above title in the \textit{Scientific American} for September~7, 1889. The +mirror is a flat, circular disc of metal, supported around its circumference +by a flange or shoulder on the cell. Through a hole in its centre +passes a bolt, and by turning a nut on the outside of the cell, the +mirror is ``buckled'' into shape. The inventor has omitted to mention +that by carrying the motion of the nut to a convenient position +%-----File: 082.png----- +near the eye-piece a ready adjustment of the focus will be obtained. +This method has the great advantages of simplicity and cheapness; +its defects will be ascertained by the inventor when he comes to +try it.\pushright{J.~E.~K.} + +\nbsubsectionheading{Observations on the near approach of Mars and Saturn on +September~19, 1889.} +\addcontentsline{toc}{subsection}{\qquad Observations of the near approach of Mars and Saturn, September~19 1889. By \textsc{E.~E. Barnard}} +% Transcriber's note: Original text reads "September 29" in the table of contents +% In the Smithsonian/NASA Astrophysics Data System is a document (Bibliographic code: 1889QB384.M37......), +% entitled "On the close conjunction of Mars and Saturn near Ragulus on Sept. 19, 1889", author Albert Marth. + +The eastern sky was thick with haze when the two planets rose, +and they were not visible until a considerable altitude was attained. +At about 4~\textsc{a.~m.}\ they could be seen dimly with the naked eye; +\textit{Mars}, small and insignificant, slightly east of \textit{Saturn}. As soon as +the images were at all measurable, I made a series of micrometrical +observations of the two for position angle and distance, and for +differences of right ascension and declination, using the 12-inch +equatorial. + +Following are the measures which are corrected for refraction in +distance and in the $\Delta \delta$ and $\Delta \alpha$; the times being Mt.\ Hamilton +mean time: +\begin{tablesetup} +\begin{tabular}{*{5}{c@{ }}c c@{ }c@{ }l@{ }c c@{ }l@{ } c@{ }c@{ }l} +&&\multicolumn{1}{r@{ }}{\footnotesize\textit{d.}} +& \multicolumn{1}{r@{ }}{\footnotesize\textit{h.}} +& \multicolumn{1}{c@{ }}{\footnotesize\textit{m.}} +& \multicolumn{1}{c@{ }}{\footnotesize\textit{s.\;}} +\\ +1889.& Sept.& 19 & 16 & 16 & 39. +& \multicolumn{9}{l}{Position angle of \textit{Mars}, $101°.0$ (3).} +\\ +``& ``& 19 & 16 & 24 & 24. +& Dist. & betw'n & outer & \multicolumn{2}{@{}l}{limbs of} +& \textit{Mars} & and & \textit{Saturn}, +& $356''.1$ (3). +\\ +``& ``& 19 & 16 & 29 & 14. +& ``& ``& \multicolumn{2}{@{}l}{nearer} & ``\mbox\quad & ``& ``& `` +& $342''.3$ (3). +\\ +``& ``& 19 & 16 & 34 & 19. +& ``& ``& \multicolumn{7}{@{}l}{center and center, $358''.8$ (3).} +\\ +``& ``& 19 & 16 & 39 & 49. +& \multicolumn{9}{l}{Position angle of \textit{Mars}, $101°.8$ (4).} +\\ +``& ``& 19 & 17 & 36 & \multicolumn{1}{@{}c@{}}{29.\footnotemark[7]} +& \multicolumn{9}{l}{ + $\Delta~\delta$ \hspace{2.5mm}\mars\ $-$ \saturn \hspace{2mm} + $-1'\;\,39''.2$ (5) apparent.} +\\ +``& ``& 19 & 17 & 45 & \multicolumn{1}{@{}c@{}}{49.\footnotemark[7]} +& \multicolumn{9}{l}{ + $\Delta~\alpha$ \hspace{2mm}\mars\ $-$ \saturn \hspace{2mm} + $-0^\text{m} 29^\text{s}.91$ (11) apparent.} +\end{tabular} +\end{tablesetup} +\footnotetext[7]{These times are for the bisection of \textit{Mars}.} + +The most striking feature was when the two planets were fading +from the advent of daylight. At the approach of day \textit{Saturn} assumed +a pale, ashy hue, with a slight tinge of yellow, while \textit{Mars} +retained its lustre in a surprising manner, being of a strong orange +yellow in color; its north polar cap stood out strikingly towards the +close of the observations, a dark marking being also visible near the +middle of the disc. \textit{Saturn} ceased to be visible in the telescope at +18h.\ 6m., the last glimpse being had a few seconds earlier. At this +time \textit{Mars} was easily conspicuous, the sun being 5° or 6° high and the +sky pretty thick. At 18h.\ 10m.\ \textit{Mars} began to grow pale. At 18h.\ 25m.\ it +was still visible but very pale and easily lost in the field, though +it could have been followed for some time longer. By the time the +%-----File: 083.png----- +planets were high enough to observe with the large telescope they +had separated too far to be brought into the field of view of the +largest eye-piece.\pushright{E.~E.~B.}\\*[1ex] +{\small\indent\textsc{Mt. Hamilton}, Sept. 20th, 1889.} + +\nbsubsectionheading{The Uses of Trails of Stars in Measurements of Position +or of Brightness.} +\addcontentsline{toc}{subsection}{\qquad The Uses of Trails of Stars in Measurements of Position or of Brightness. By \textsc{E.~S. Holden}} + +Photographs of star groups may be made for either one of three +important objects. They may serve---(\textit{a}) to give a picture merely; +(\textit{b}) for measurement of the relative positions of the stars of the group; +or, (\textit{c}) for measurement of the photographic magnitudes of the stars +of the group. For the first purpose the stars must be photographed +as points or \emph{dots}. Such dots may also be used for the purposes \textit{b} +and \textit{c}. For the purposes \textit{b} and \textit{c} it will often be very advantageous +to employ \emph{trails} instead of \emph{dots}. The difference of declination of +two stars, A and B, can be more accurately determined from measures +made of the distance apart of their \emph{trails} than from measures of the +distance of the corresponding \emph{dots}; just as a star can be more accurately +bisected in declination by a Z.~D. micrometer than in R.~A.\ by +a fixed thread. Hence the use of trails in R.~A. If now we can +produce trails in declination, a corresponding advantage can be had +for measures of differences of R.~A. The negative plate of the +great equatorial is to be mounted on a compound slide-rest. The +upper slide-rest which carries the plate has a motion in any desired +direction (usually in R.~A.), and the lower slide-rest, which carries +both plate and upper rest, has a motion at right angles to the direction +for the upper slide. + +If a clock-work motion is attached to the lower slide, this slide +can be moved in declination (say) for a certain distance (only). +It will finally come to the end of its run. Suppose the telescope at +rest, the objective covered and the lower slide-rest moving in declination. +If an exposure is now made, we shall have trails suitable +for measuring differences of R.~A. After a few minutes, the lower +slide comes to the end of its run. Trails in R.~A. are now produced, +which are suitable for measures of differences of declination. + +The direction of motion of the lower slide may be ordered in +\emph{any} desired position angle. Thus we may choose the direction of +the first set of trails so as to be most advantageous for the subsequent +measures. The second set of trails will always be in R.~A. +The angle between the first and second directions will define the +%-----File: 084.png----- +position angle of the first trails. It is believed that this simple +method will have important bearings on the determination of stellar +parallax by photography, a research for which the great equatorial +is especially fitted. + +Trails may also be used to determine the magnitudes of the stars. +The blackening of the plate is proportional to the photographic magnitude +of the star and to the star's rate of motion on the plate (and +to other things, also). + +Two stars at different declinations will move at different rates on +the plate and hence will produce trails of different intensity. A +(theoretical) correction for the different rates of motion can be made +and the measures of the relative intensities of the trails can be taken +as measures of the relative magnitudes of the stars. This method +has been extensively used by the Harvard College Observatory. + +I will not here discuss the objections to the method, but will +simply show how all objections can be overcome by adopting an ingenious +proposal made by Professor \textsc{Schaeberle}. His suggestion is +to photograph the trails of all stars on a plate moving in declination +at the same rate that an equatorial star moves in R.~A. All trails +will then have the same exposure. The rate of the clock which +drives the plate in declination can be tested at any time by photographing +\emph{both} trails (R.~A. and Dec.) of the same equatorial star. + +It appears to me that a photometry of all stars sufficiently bright +to give such trails should be made by this method. For fainter stars +the method described by Professor \textsc{Schaeberle} \textit{(Publ.\ Ast.\ Soc.\ Pacific}, +No.~4) should be employed.\pushright{E.~S.~H.}\\*[1ex] +{\small\indent\textsc{Lick Observatory}, July~15, 1889.} + +\clearpage +%-----File: 085.png----- + +\nbsectionheading{\textsc{Minutes of the Meeting of the Board of Directors, held +September~28, 1889, at the Lick Observatory.}} +\addcontentsline{toc}{section}{Minutes of the Meeting of the Board of Directors, September~28, 1889} + +A quorum was present. + +The report of the Treasurer was received and ordered on file. + +The printing of a circular of information was authorized. + +Hon. R.~W. \textsc{Waterman}, Governor of California; \textsc{Henry Lord Boulton}, +Esq., Caracas, Venezuela; Mrs. \textsc{Anna Palmer Draper}, New York City, were +duly elected as life members of the Society. + +It was \textit{Resolved}, That the design for the Society's diploma recommended by +the Committee be adopted, and that 500 copies of it be printed by Messrs.\ \textsc{Button} +\& \textsc{Rey}. + +Mr.\ \textsc{Pierson} reported that the Society had been incorporated on August +28, 1889. + +The thanks of the Board of Directors were offered to Mr.\ \textsc{Pierson} for his +kind services in the matter of incorporating the Society, and also to Mr.\ \textsc{Knox}, +notary. The fees to State officers were ordered paid. + +It was ordered that the Secretary in San Francisco be furnished with a revolving +fund of \$10 for the payment of petty bills. Adjourned. + +\nbsectionheading{\textsc{Minutes of the Meeting of the Astronomical Society of the +Pacific, held September~28, 1889, at the +Lick Observatory.}} +\addcontentsline{toc}{section}{Minutes of the Meeting of the Astronomical Society of the Pacific, September~28, 1889} + +\nbsubsubsectionheading{\small +\textsc{[Prepared by the Secretaries for Publication.]}} + +The minutes of the meeting of July~27 were read and approved. + +A list of presents to the Society was read, and thanks were returned to the +donors. + +The following persons were elected to membership (the names of life-members, +duly elected by the Board of Directors, are marked with a star (*): +\addcontentsline{toc}{subsection}{\qquad List of Members elected} + +\begin{longtable}[l]{@{}ll} +\textsc{Henry Lord Boulton}, F.R.A.S.,*& Caracas, Venezuela.\label{cor4} \rlap{(Box 2015, New York +City)}\\ % corrected per corrigenda +Rev. \textsc{A.~L. Brewer},& San Mateo, Cal.\\ +\textsc{George W. Beaver},& 418 California Street, San Francisco, Cal.\\ +Hon. \textsc{John L. Beard},& Warm Springs, Alameda Co., Cal.\label{cor5}\\ % corrected per corrigenda +\textsc{A.~J. Burnham},& Lick Observatory, Cal.\\ +Mrs. \textsc{Anna Palmer Draper},*& 271 Madison Avenue, New York City.\\ +\textsc{W.~E. Downs},& Berkeley, Cal.\\ +\textsc{S.~J. Cunningham},& Swarthmore College, Delaware Co., Penn.\\ +Prof. \textsc{Geo. C. Edwards},& Berkeley, Cal.\\ +Prof. \textsc{T.~C. George},& University of the Pacific, San José, Cal.\\ +Prof. \textsc{Alfred Higbie},& University of the Pacific, San José, Cal.\\ +Dr. \textsc{J.~C. Hawyer},& Auburn, Cal.\\ +Hon. \textsc{W.~H. Jordan},& 328 Montgomery Street, San Francisco, Cal.\\ +Prof. \textsc{Josiah Keep},& Mills College, Alameda Co., Cal.\\ +Miss \textsc{Laura Kimber},& Occidental Hotel, San Francisco, Cal.\\ +Dr. \textsc{A. Liliencrantz},& 1459 Telegraph Avenue, Oakland, Cal.\\ +\textsc{F.~G. Montealegre},& 230 California Street, San Francisco, Cal.\\ +President \textsc{C.~C. Stratton},& Mills College, Alameda Co., Cal.\\ +\textsc{Frederick C. Torrey},& 529 Commercial Street, San Francisco, Cal.\label{cor6}\\ % corrected per corrigenda +\textsc{Otto Von Geldern},& 1905 Polk Street, San Francisco, Cal.\\ +Rev. \textsc{J.~H. Wyeth},& Oakland, Cal.\\ +Hon. \textsc{R.~W. Waterman},*& Sacramento, Cal.\\ +\textsc{E.~C. Winchell},& 1214 Grove Street, Oakland, Cal.\\ +\textsc{Edward B. Young},& 430 Montgomery Street, San Francisco, Cal.\\ +\end{longtable} + +\medskip +The design for the Society's diploma, which was recommended by the Committee +and has been adopted by the Board of Directors, was exhibited to the +meeting. +%-----File: 086.png----- + +\nbsubsubsectionheading{(Extract from the Report of the Committee on the Diploma.)} +\addcontentsline{toc}{subsection}{\qquad Report of the Committee on the Diploma} + +``A design for this diploma was prepared by the Committee and sent to Mr.\ \textsc{P.~R. Calvert} +of Nashville, who has made the finished drawing. + +``As the Astronomical Society of the Pacific owes its origin to the association +of amateur and professional astronomers in the observation of the Total Solar +Eclipse of January~1, 1889, it was thought appropriate to give a chief position in +the diploma of the Society to the Sun's Corona as then displayed. Accordingly, +the centre of the upper panel contains the Sun, the Moon and the Corona of +January, 1889. To the left and right of this are the symbols of the eight major +planets. The twelve medallions of the lower panel include the twelve Zodiacal +signs, copied from the beautiful designs of Mr.\ \textsc{Vedder}. The right hand panels +represent first, the great comet of 1858, and second, the configuration of the +Constellation of Orion. The stars of this constellation may stand for the stellar +universe; while they also remind us that the central star of the sword-handle +is the nucleus of the grandest of all the nebulć. The drawing of the Muse of +Astronomy---\textit{Urania}---in the left-hand panel is copied from the antique statue of +the Vatican. The national coat of arms in the upper left-hand panel designates +the country in which the Society has its seat, and to which the work of our members +should bring increasing honor as time goes on.'' +\pushright{\hbox{\textsc{E.~S. Holden, E.~E. Barnard, W.~B. Tyler}, \textit{Committee}.}\quad} + +\medskip +\addcontentsline{toc}{subsection}{\qquad Designs for the Comet Medal by \textsc{M.~Alphée Dubois}} +It was announced that Mr.\ \textsc{Donohoe} had secured very satisfactory designs for +the Comet Medal from M. \textsc{Dubois} in Paris, and that the dies were now making. + +\medskip +\addcontentsline{toc}{subsection}{\qquad Expeditions to Observe the Eclipse of December~21, 1889} +The Society was also notified that Messrs.\ \textsc{Burnham} and \textsc{Schaeberle} were +to leave California September 29th or 30th for South America, on the expedition +to observe the Total Eclipse of December 21st. Thanks to the generosity of Mr.\ \textsc{Crocker}, +the expedition is completely equipped, and, barring bad weather, is +sure of success. + +The U.~S. Government will send an expedition in the U.~S.~S. \textit{Pensacola}. +Five thousand dollars has been appropriated to cover the expenses. The expedition +is under Professor \textsc{Todd}. The vessel will touch at St. Paul de Loanda +and from thence two parties will, it is said, separate and go to points on the +Coanza River. + +The English expedition to South America under Rev. Father S.~J. \textsc{Perry}, +F.~R.~S., will take station at Salute I., near Cayenne. Mr.\ \textsc{Taylor}, F.~R.~A.~S., +goes to St. Paul de Loanda. Each of these expeditions has the same programme +and twin instruments, viz: an \textsc{Abney} 4-inch photographic lens and a 20-inch +reflector of 45 inches focus. It is hoped to get sixteen pictures at each station. +No spectroscopic work is to be attempted. Miss \textsc{Brown} and Miss \textsc{Jefferys}, +who observed the eclipse of 1887 in Russia, expect to observe that of next December +in Trinidad. H.~M.~S. \textit{Comus} is placed at the disposal of the English +expeditions by the British Admiralty. + +It is to be regretted that the Lick Observatory Expedition is (apparently) the +only one provided with a lens of more than 45-inch focus. The experience of +last January seems to have shown that the solar images from lenses of less than +60 or 70 inches focus are too small to show much detail in the \emph{inner} corona. + +\medskip +The papers presented were: +\addcontentsline{toc}{subsection}{\qquad Papers presented} + +On the Companions to \textsc{Brooks}' Comet (July~23, 1889) discovered at the Lick +Observatory, by E.~E. \textsc{Barnard}. + +Drawings of \textit{Jupiter} made with the 26-inch Equatorial at Washington during +1875, by E.~S. \textsc{Holden}. + +Drawings of \textit{Jupiter} made with a 5-inch Equatorial at Nashville during the +years 1879--1883, by E.~E. \textsc{Barnard}. + +(The drawings of \textit{Jupiter} made by Mr.\ \textsc{Keeler} with the 36-inch Equatorial +during the present opposition were not exhibited for lack of time.) + +On the Establishment of a Standard Meridian Line for Santa Clara County, +California, by \textsc{James E. Keeler}. + +Occultations of Stars by the Moon, by A.~O. \textsc{Leuschner}. + +Conjunction of \textit{Mars} and \textit{Saturn}, September~20, 1889, by W.~E. \textsc{Downs}. + +On the Photographic Brightness of the Fixed Stars, by J.~M. \textsc{Schaeberle}. +%-----File: 087.png----- + +These papers will be printed in full or in abstract in numbers 4 and 5 of the +Publications. + +\medskip +The Society then adjourned to meet at its rooms, 408 California Street, San +Francisco, on November~30, 1889. + +\ThoughtBreakLong + + +\nbsectionheading{OFFICERS OF THE SOCIETY.} +\addcontentsline{toc}{section}{List of Officers} + +\begin{tabular*}{0.95\textwidth}{@{\extracolsep{\fill}}lcr} +\textsc{Edward S. Holden} (Lick Observatory), +&& \textit{President}\\ +\textsc{Wm.~M. Pierson} (76 Nevada Block, S.~F.), +& \multirow{3}{1em}{\Bigg\}}&\\ +\textsc{W.~H. Lowden} (213 Sansome Street, S.~F.) +&& \textit{Vice-Presidents}\\ +\textsc{Frank Soulé} (Students' Observatory, Berkeley),&&\\ +\textsc{Chas. Burckhalter} (Chabot Observatory, Oakland), +&\multirow{2}{1em}{\Big\}} +&\multirow{2}{5em}{\textit{Secretaries}}\\ +\textsc{J.~M. Schaeberle} (Lick Observatory),&&\\ +\textsc{E.~J. Molera} (850 Van Ness Avenue, S.~F.), +&& \textit{Treasurer} +\end{tabular*} + +\compactlisttwo\stretchyspace +\item[] \textit{Board of Directors}---Messrs.\ \textsc{Alvord, Boericke, Burckhalter, Gibbs, +Grant, Holden, Lowden, Molera, Pierson, Schaeberle, Soulé}. +\item[] \textit{Finance Committee}---Messrs.\ \textsc{Gibbs, Pierson, Molera}. +\item[] \textit{Committee on Publication}---Messrs.\ \textsc{Dewey, Treat, Ziel}. +\item[] \textit{Committee on the Comet Medal}---Messrs.\ \textsc{Holden} (\textit{ex officio}), % original has ex-officio +\textsc{Schaeberle}, \textsc{Burckhalter}. +\end{list} + +\ThoughtBreak + +\nbsectionheading{NOTICE} + +Members are requested to preserve the copies of the Publications of the +Society as sent to them. At certain intervals a title page and index of the preceding +numbers will also be sent to the members, who can then bind the numbers +together into a volume. + +The titles of papers for reading should be communicated to either of the +Secretaries as early as possible. + +Those members who propose to attend any or all of the meetings at Mount +Hamilton during the summer should communicate with Mr.\ \textsc{Burckhalter}, at +the rooms of the Society, 408 California Street, San Francisco, in order that +arrangements may be made for transportation, lodging, etc. +\vfil +\[ + \includegraphics{images/fig4.jpg} +\] +%-----File: 088.png----- +%-----File: 089.png----- + +\nbchapterheading +\nbchapterbanner{No.\ 5.}{San Francisco, California, November~30, 1889.} +\nbchaptertoc{No.\ 5. (November~30, 1889).} + +\nbsectionheading{OBSERVATIONS OF \textit{JUPITER} WITH A FIVE-INCH +REFRACTOR, DURING THE YEARS 1879--1886.} +\addcontentsline{toc}{section}{Observations of Jupiter with a 5-inch Refractor during the years 1879 to 1886. +By \textsc{E.~E. Barnard}. (Plates I, II, III, IV accompany)} + +\nbsubsubsectionheading{\shortrule\\* +\textsc{By \textsc{E.~E. Barnard}.}\\* +\shortrule} + +During the years 1879 and 1880 I was constantly employed in +the daytime with my business duties; but every possible opportunity +was used in astronomical observations at night. The latter part +of 1879 and the major part of 1880 were devoted to an extended +series of observations and drawings of \textit{Jupiter.} + +These observations were made at Nashville, Tennessee, ($\lambda = ++0^{\text{h}}39^{\text{m}}.0; \phi = +36°10'$), and before I was connected with the +Vanderbilt University Observatory. + +The telescope was a five-inch refractor, mounted on a portable +tripod, without a driving clock. A magnifying power of 173 diameters +was nearly always employed---the instability of the mounting +preventing the use of a much higher power. A right-angled prism +was used with the eye-piece. This shows the planet reversed, but not +inverted. In sketching, a small wooden box or desk was used, with +a glass in the top, on which the paper was laid. A faint illumination +from below, through the sketching paper, was obtained from the +reflected light of a candle. By this means I could sit with the desk +on my knees and compare the telescopic image directly with the +drawing. + +The drawings were very carefully made, and faithfully show the +markings as they appeared upon the planet at the time of observation. +Professor \textsc{Holden} has lately seen these drawings, and suggested +that I collect them together and prepare them for reproduction +by photo-lithography. I have, therefore, selected forty-five of them +as fairly representing the phenomena of \textit{Jupiter} during the period of +observation, and they are reproduced in Plates I, II, III, IV, following. +Constant reference should be made to the plates by the reader. +In these plates the top of each drawing is north; the bottom is south; +%-----File: 090.png----- +the right-hand side is east, or following; the left-hand side is west, +or preceding. + +During the observations the usual appearance of the planet was +about as follows: Around the equatorial regions was a broad band +or belt, which could really be said to be two belts; for it was always +divided longitudinally by a sinuous, lighter portion, which was sometimes +much broken by diffusions from the belts and by cloud-like +forms. In the observations, I have considered this great belt as two, +and have called the parts, respectively, the north and the south equatorial +belts, or, collectively, the equatorial belt. Considered as one, +the belt was about one-fifth the polar diameter of the planet in width. + +Just south of the equatorial belt was situated the Great Red Spot, +covering an area of over two hundred million square miles---greater +than the entire surface of our earth. + +On the inner part of the south equatorial belt was frequently seen +a brilliant white spot, which had a very strong proper motion with +reference to the Red Spot. + +To the north of the equator were situated three narrow lines or +belts. I have designated these as the first, second and third linear +belts. The third was usually the border of the north polar cap, while +the first became the scene of remarkable changes about the 1st of +November, 1880. + +What principally attracted my attention to the planet was the +appearance of the Great Red Spot. The early history of this object +seems to be rather obscure, but it was certainly seen as early as July, +1878, by Professor \textsc{Pritchett}, at Glasgow, Missouri, and was probably +seen at intervals as early as 1870. + +It was first seen by me in the early morning of August~3, 1879. +I had heard nothing of it; and while observing and sketching \textit{Jupiter} +it came into view around the following limb, and was so remarkable +in form and color that I was at once struck with its appearance. On +this date the form of the spot was different from what it was at any +of my subsequent observations. While the south edge of the spot +was nearly straight and the following end blunt, the north edge +tapered towards the preceding end, strikingly like the drawing by +\textsc{Trouvelot} in the \textit{Observatory} for April, 1879 (p.~411). + +It will be seen that my drawings nearly all show some phase of +the Red Spot. I have so selected them because it was the principal +object of interest with a small telescope, and therefore received the +most attention. Though the Red Spot was watched carefully, I +never saw any details on its surface until the latter part of the observations, +%-----File: 091.png----- +when a whitish cloud formed upon it. Changes were sometimes +seen, however, in the form of the spot. These were confined +to the ends, which occasionally appeared rounded, and, again, were +very much pointed, or cigar-shaped. Faint trails were frequently +seen running from one end or the other of the spot, and sometimes +from both ends at the same time; the most persistent of these was +the trail from the preceding end. + +One of the most interesting features of the Great Spot was the +repulsion it seemed to exert upon adjacent markings on the planet. +For a time it was surrounded by a sea of light that completely encircled +it for a distance of three or four thousand miles (see drawing of +October~3, 1879), and which appeared as a visible barrier against +the approach of any spot or marking. So manifest was this repellant +force that, as early in the observations as 1879, I called attention to +it in the \textit{English Mechanic} (Vol.~30, p.~166). + +There was, however, one striking exception to this general rule: +In July, 1880, a dense, smoky shading was seen apparently attached +to the south side of the Red Spot, extending to the south preceding, +and covering an area but little less than the Great Spot itself. This +eventually passed the Red Spot, and, having a shorter period, soon +left it far behind, and finally became squeezed out into a short longitudinal +belt or spot, some twenty-five or thirty thousand miles long. +Two white belts, one on each side, seemed to compress it into a definite +form, that now extended east and west, instead of southwest and +northeast, its primitive direction. + +During the observations, a great number of estimates were made of +the instant that the Great Spot was in transit across the central meridian +of the disc of \textit{Jupiter}. In discussing his micrometer measures +of such transits from June to December, 1880, on thirty-one days, +Prof. \textsc{Hough} says that his observations ``gave for the mean error of +a single pair of measures $\pm 0^{\text{m}}.9$, and for the average mean probable +error for any day, $\pm 0^{\text{m}}.4$, on the observed transit of the Red Spot +over the central meridian,'' and further remarks: ``It may be inferred +from these results that the use of a micrometer is infinitely preferable +to any method of estimation.'' Among the observations of +the Red Spot I have forty-four complete and carefully estimated +transits---that is, observations of the preceding end, middle, and +following end of the spot. Twenty-one of these are from a single +but careful estimate of each phase. These give the probable error +of a transit of the center from the mean of the three observations = +$\pm 1^{\text{m}}.0$. In twenty-three of these transits three estimations were +%-----File: 092.png----- +made of each phase; from these I get for the transit of the middle +from the mean of the nine observations the error of the transit, $= +\pm 0^{\text{m}}.7$. These values are comparable with the best micrometer measures. +It is evident that they should be so. The Red Spot moves +through an angle of about 0°.6 in $1^{\text{m}}$. At transit this amounts to a +change of distance from the limb of about $0''.2$. It is clear, that with +a five-inch telescope the position of the spot could not have been +fixed more closely with a micrometer (even if I had been provided +with one, which was not the case) than it was by the method of transits. +I think the sole advantage of micrometer measures in a case of this +kind is that they can be made \emph{near} the transit, thus saving time +by not having to wait for special phases, and that they can be +repeated until the accidental error of the result is reduced to a small +quantity. + +I have inserted the above comparisons to show what accuracy +may be obtained by carefully made estimates, and as an encouragement +to those who have not all the accurate appliances of an observatory +to work with. + +During the observations, which frequently extended over an +interval before the appearance of the Red Spot at the following +limb and until after it had disappeared at the preceding limb, I +several times noted the moment when the first trace of the Red Spot +could be seen at the \textit{f.}\ limb. The mean of seven such observations, +compared with the observed transit of the center of the spot, gave the +interval $2^{\text{h}}1^{\text{m}}$ from the first trace of the \textit{p.}\ end of the Red Spot at the +\textit{f.}\ limb, until the center of the spot was in transit. This gives $1^{\text{h}}36^{\text{m}}$ +as the time that a mark of the same distinctness as the Red Spot, +and at the same distance from the equator, could be seen before its +transit; $3^{\text{h}}12^{\text{m}}$ is, therefore, the total duration of visibility of \emph{any} +point of the Red Spot during a rotation. Thus the spot could never +be altogether invisible through rotation for a greater interval than +$5^{\text{h}}53^{\text{m}}$ from the time the \textit{f.}\ end disappeared at the \textit{p.}\ limb until the \textit{p.}\ end +reappeared at the \textit{f.}\ limb. The mean of two estimates gave $1^{\text{h}}9^{\text{m}}$ as +the interval between the time when the spot was clearly seen free +within the \textit{f.}\ limb and the time of transit of its center. Slight variations +in the tint and depth of color of the spot were noticed, and it +was frequently contrasted with some portion of the equatorial belt; +but as the belt itself was probably subject to a far greater change in +depth and color than the Red Spot, such a comparison would not be +very conclusive proof of change. + +It would take up too much space to give the observations, even in +%-----File: 093.png----- +an abbreviated form, so I shall briefly summarize the most important +points: + +\nbsubsectionheading{The Color of the Red Spot.} + +\begin{description} +\item[1879.] Aug.~2, it is described as of the color of red-hot iron. + +\item[1880.] July~11, a clear, darkish Indian red, brighter in color than +equatorial belt; July~24, a clearer red than equatorial belt; July~29, +a light Indian red, the belts a duller red; Aug.~16, a brick-dust +color---same tint as north equatorial belt; Sept.~14, a lighter red, +very much lighter than north belt; Sept. 16, a brick red, more +strongly marked than the north band; Sept. 25, a deep brick-dust +color; Sept. 30, a distinct red, the equatorial bands a heavier red; +Oct.~7, a redder color than the belts; Oct.~13, a heavy red, clear +and sharp; Oct.~20, a light, clear red; Nov.~1, a pale red; Nov.~3, +a deep brick-dust color; Nov.~11, a solid red, well outlined; Nov.~20, +a little less deep in color, but very much redder than the belts. + +\item[1881.] Jan.~7, not so well defined at edges, but a deeper tint at +the middle; July~2, a pale light red; July~9, the spot is even of a +deeper tint than last year; Oct.~31, lightish red. + +\item[1882.] Jan.~23, faintish red, very pale. + +\item[1885.] April~25, it is very faint---quite difficult to observe---a +very pale red; April~28, it is very well seen, and is clearly outlined +all round; May~12, very faint; May~15, fairly distinct, probably a +white mass superposed on it. + +\item[1886.] April~8, a long white cloud clearly seen on the Red Spot; +April~22, very faint, a whitish strip of cloud on it, north of middle. +\end{description} + +\nbsubsectionheading{Trails from the Ends of the Red Spot.} + +Faint reddish trails were recorded on the following dates: + +\begin{description} +\item[1879.] Oct.~3, faint trail from following end. + +\item[1880.] July~11, faint trail from preceding end; July~18, faint +trail from each end; Aug.~16, faint trail from each end; Aug.~30, +faint trail from each end; Sept. 16, faint trail from each end; Nov. +18, faint trail from preceding end; Nov.~20, faint trail from preceding +end. + +\item[1886.] Nov.~5, faint trail from preceding end. +\end{description} + +These usually were about 2$''$ or 3$''$ long. + + +\nbsubsectionheading{Size of the Red Spot.} + +Frequent estimations were made, at the telescope, of the relative +size of the Red Spot, on dates extending from July, 1880, to December +14, 1880. Following are the estimations: +%-----File: 094.png----- + +\begin{description} +\item[\textit{Breadth}:] From twelve estimates of its breadth north and south, +it was just perceptibly less than one-half the breadth of the equatorial +band = estimate I; while eight estimates made it exactly one-half += estimate II\@. One estimate placed it perceptibly greater than one-half += estimate III. + +\item[\textit{Length}:] Sixteen estimates made the length very slightly less than +one-third the length of the same parallel of the disc of \textit{Jupiter} += estimate I; while the mean of six other estimates made it 0.32 +that distance in length = estimate II. + +\item[\textit{Distance of North Edge of Spot from South Edge of Belt}:] +Twenty-four estimates of the distance between the north edge of the +spot and the south edge of the equatorial belt gave it 0.40 of the +width of the spot, with decided and considerable variability (which +never, however, exceeded one-half). +\end{description} + +Adopting from the \textit{Report} of the Dearborn Observatory for 1882 +Professor \textsc{Hough}'s micrometer measures of the breadth of the equatorial +bands (for a period exactly covering my estimation) as $= 7''.04$, +and his value for the radius of the parallel of the center of the Red +Spot $= 17''.94$, we have the above estimations expressed in seconds +of arc at the distance unity. +\medskip + +\begin{small} +\noindent\begin{tabular}{@{}llrl} +\textsc{Breadth of Spot}:& Estimate & I &= very slightly less than $3''.5$.\\ +&Estimate & II &= $3''.5$.\\ +&Estimate & III &greater than $3''.5$.\\ +\textsc{Length of Spot}:& Estimate & I &= very slightly less than $12''.0$.\\ +&Estimate & II &$= 11''.5$.\\ +\end{tabular} + +\smallskip +\noindent\textsc{Distance North Edge of Spot From South Edge of Belt}: Assuming, +with the above estimates, the breadth of spot to equal $3''.5$, the estimates give +the distance above as $1''.4$. + +\end{small} + +\nbsubsectionheading{The Bay at the Red Spot Formed by the South Equatorial +Belt.} + +This singular recurring feature of the south equatorial belt is +worthy of particular attention. As it seems intimately connected +with the Red Spot, it had best be mentioned here. In a drawing +published in the \textit{Observatory} for April, 1879 (p.~411), \textsc{Trouvelot} +shows a sharp curvature of the south side of the equatorial belt +around the preceding end of the Great Spot, forming, as it were, a +bay. He says it had disappeared and reappeared no less than three +times in a little over a year, always reappearing at the same place +with reference to the Red Spot. This bay, or a similar one, is shown +in my drawing of October~3, 1879. It then curved south, following +%-----File: 095.png----- +the Red Spot, the southern limit diffusing very greatly, but sharply +terminated where it curved down following the spot. It is shown +thus also in a drawing of September~14, 1879. It was wholly absent +throughout 1880, the south edge of the equatorial band being perfectly +straight all around the planet. The first indication I have of +its return is February 4, 1882, (the observations had, however, ceased to +be continuous after 1880), when I recorded that the south equatorial +band ``appeared to blend southwards, following the Red Spot.'' In +1885, this feature was distinctly marked---the appearance being the +same as in 1879, except that its extreme south edge did not blend so +much as in that year. Its presence was marked on April~25, May~12, +May~15, and, 1866, April~22, when the planet was examined. The +absence of other dates indicates only that the region of the Red Spot +was not examined, and not that the bay existed only on these dates. +At the Lick Observatory I have seen it frequently at the present +opposition just as it was in 1879. That this is intimately connected +with the forces that produce the Red Spot there is no doubt. In connection +with this feature and the Red Spot, I would mention a singular +thin red line that sprung out from the south edge of the equatorial band +like a spur, and, curving backwards, ran along parallel to the south +edge of the equatorial belt for some distance. This is shown in +the drawings of 1880, September~18, 28, 30, and October~10. Prof. +\textsc{Hough} has figured this singular object in a drawing made September +9, 1880, with the 18$\frac{1}{2}$-inch refractor, just as I have seen it, +except that he does not show it of a red color. (See \textit{Report Dearborn +Observatory}, 1882.) It occupied a place near the preceding +curve of the bay. Though this spur-line joined the south edge of the +equatorial belt, to which it seemed attached, it did not partake of its +motion; for throughout its visibility it retained the same position with +reference to the Red Spot, showing that its period was the same +as that of the spot, while the period of the belt is about $5\frac{1}{2}^{\text{m}}$ +shorter. + +I have already mentioned the smoky shading which, in July, +1880, seemed to be attached to the Red Spot, and which finally +passed by it through a more rapid rotation. It is shown on a great +many of the drawings. I would specially call attention to those of +Pl. I (July 24, 29, August, 16, 17, September~9, 11); Pl. II (September +30, October~7, 10, November~1). The drawing of July~24, +1880, shows a very small spot near transit in the southern hemisphere. +This small spot was usually quite hard to see, but was +clearly defined and dusky when best seen; it was probably about 4000 +%-----File: 096.png----- +miles long and some 2000 miles wide. The remarkable features were +its permanency and its slow rotation period. Its period being somewhat +less than the Red Spot, it slowly drifted westward from that +object, and probably, in course of time, completed a circuit of the +planet, which it would do in a little over two years, when it would +again be in the region of the Red Spot. It is shown in several of +the drawings. + +\nbsubsectionheading{The Equatorial White Spot.} + +Throughout the entire period of my observations, there was +present on the planet a very remarkable White Spot, situated on, or +generally imbedded in, the north edge of the south equatorial band. +This object was subject to remarkable changes of form and brightness. +It required but a few observations to show that it was in +rapid motion with reference to the Red Spot. Its period was nearly +five and a-half minutes shorter than that of the Great Spot. Its westward +drift with reference to that object was about 8° of longitude +per day, or about 2430 miles, at every rotation of the planet. This +rapid relative motion with reference to the Red Spot would therefore +carry it completely around the planet in forty-five days, and a number +of such revolutions were actually observed. It required but four +days for this swiftly moving body to completely pass the Red Spot, +which it soon left far behind, and in twenty-two and one-half days it +would be on the opposite side of the planet. I would refer to the +drawings of Plate~III (November~18, 20, 22 and 23), where one of +these passages of the Red Spot is shown. The motion of this object +was not perfectly uniform. At times it seemed to slacken its speed, +and then to spurt forward again. Among the surprising things about +this spot were its great changes, both of form and brightness. At +times it became so bright as to glisten like a star. When in this +condition it was by far the brightest object on the planet. For a +while it would appear as a rather small, inconspicuous, light, oval +spot, imbedded in the dark matter of the north edge of the south +equatorial band. In this state it would scarcely attract attention. +It would next be seen brilliantly white, burying its head in the dusky +matter of the belt, with a vast, luminous train streaming backwards +along the equatorial regions, like the tail of a comet. Sometimes +this train was composed of white, cloud-like balls, that streamed eastward +on the planet. After continuing thus for some time, it would +seem to have wasted its energies, and would then assume the quiescent +state. I have tried to connect these changes of brightness with +the changes of motion, but have not been able to do so, though there +%-----File: 097.png----- +is doubtless a relation between them. When at its brightest it seemed +to burrow in the south band and plow the matter before it. A long, +sinuous rift in the northern part of the north equatorial band had +constantly the same relative position to the White Spot, and was +perhaps in the same layer of the planet's atmosphere. Probably all +the objects in the equatorial regions had the same motion as the +White Spot, or were stationary, relative to it. Indeed, the entire +belt is revolving around the planet once in forty-five days, relatively +to the Red Spot. + +I will select a few of the many notes I have on this object and +those connected with it: + +\begin{description} +\item[1880.] Aug.~13 ($13^\text{h}~33^\text{m}$), a brilliant white spot appearing at the +\textit{f.}\ limb; Aug.\ 16 ($11^\text{h}$), very white; Aug.\ 18, bright spot n.~f.\ Red +Spot, followed by light, cloudy masses; Aug.\ 23, the bright spot of +the 18th has toned down; Aug.\ 30, bright; Sept.\ 10 ($10^\text{h}\ 30^\text{m}$), +brilliant, with train; Sept.\ 15 ($9^\text{h}\ 30^\text{m}$), very bright, with train of +white, cloudy masses; Sept.\ 24 (about $9^\text{h}$), a bright head, with long, +curved stream of white matter following; Sept.\ 28 ($11^\text{h}\ 30^\text{m}$), bright; +Sept.\ 31 ($7^\text{h}\ 33^\text{m}$), two large white spots about midway the disc, a +smaller one between them---they all shine with a very white luster; +Nov.\ 11, a great number of white balls seen near $10^\text{h}$; Nov.\ 18, +white; Nov.\ 20, it is more isolated from the other matter---pale +white, diffused at edges; Nov.\ 22, smaller and pale, about the size +of Satellite I, but much paler; Nov.\ 23, it is smaller and paler; +Nov.\ 24 ($9^\text{h}\ 20^\text{m}$), light; Nov.\ 29, white. When best seen, it is +roundish. It seems to push a dark mass in front of it; it is as large +as a satellite. + +\item[1881.] Jan.\ 7, very bright and well-defined---it keeps the mass +of matter pushed up in front of it as before; Aug.\ 3, a small white +spot; Oct.\ 29, a very bright spot, with luminous and clouded train; +Nov.\ 1, bright, and plowing its way along the equatorial regions; +Nov.\ 12, white and distinct, about the size of a satellite, a clouded +train following. + +\item[1882.] Feb.\ 4, white---fainter, luminous train. + +\item[1886.] May~13, white, luminous train. +\end{description} + +The above times do not necessarily refer to its transit. These +apparitions were doubtless the same object, as they refer to a bright +body imbedded in the inner edge of the south band, and just south +of the equator. From the comparisons of its size to the satellites, it +was probably about two or three thousand miles in diameter. It is +shown on the drawings for (Pl.~I) Aug.\ 13, 16, Sept.\ 10; (Pl.~II) +%-----File: 098.png----- +Sept.~24, 28, 30, Nov.~7; (Pl.~III) Nov.~18, 22, 23, and (Pl.~IV) +Nov.~5, 1881. + +\nbsubsectionheading{The Equatorial Belts.} + +The equatorial belts were subject to many internal changes. +These changes, though frequent, are not so great as one would be +led to think from examining, say, that region just north of the Great +Spot. Part of the changes are due to the continual drift of the belt +past the Red Spot; thus every few days presenting an entirely different +part of the belt to view from any one standpoint. As an illustration +of this, we have only to follow the White Spot in its journey +around the planet. I would also refer to (Pl.~II) the drawings of +September~30 and October~7, where a decided drift of the dusky +masses is shown. These belts changed in strength and depth of +color. When I first examined the belts, in 1879, the northern one +was reddish, while the southern was bluish; the two being separated +by a whitish, serpentine division. Though my notes contain +frequent reference to the colors of these belts, it will probably be +best, considering the limited space, to very briefly state a few of the +observations in a general form. + +\nbsubsectionheading{Colors of the Equatorial Belts.} + +North of the narrow, light rift in the northern part of the north +belt, the color was frequently of a deep, rich vermilion, while the rest +of the belt towards the equator was of a much lighter red, though +at times it became a very deep, darkish red. The south belt remained +bluish for a long time, and I first began to call it reddish about the +middle of August, 1880. Even in September I have called it a drab +color. On September~9, 1880, when the Red Spot was in transit, +the north band was a warm purple, while the south one was a cold +purple. On October~10, 1880, at $10^\text{h}$, part of the north band, north +of rift, was a dark, heavy red, while the south band was a bluish-gray, +mixed with red; while on October~13, at $8^\text{h}$--$9^\text{h}$, they were both +a deep red. On October~10, 1881, both sides of the belt were reddish, +while the inside was bluish. + +\nbsubsectionheading{Forms in the Equatorial Bands, etc.} + +The belts were usually clearly and sharply defined at their polar +edges and perfectly straight. The peculiar disturbances to which they +were subject were confined to their inner edges or to parts near the +equator. Besides the famous White Spot that has been mentioned, +there were sometimes the most exquisitely beautiful forms at the equator. +%-----File: 099.png----- +These came and went---at times filling the interior of the great +belt with dusky, cloud-like forms and softly delicate plumes that +were very transitory. At times the belts appeared as one, being +completely filled in with one solid tint. Such was the case, 1880, +September 25, when the part visible (with the Great Spot central) +was dusky and evenly filled in, and the belt in every respect was one +solid, unbroken shade. I have never seen it, before or since, so +absolutely uniform in tint. A few days after this (September~28) +faint forms began to appear in the equatorial regions near the Red +Spot. The south band was usually well-defined at both edges, and +rather narrow, the inner edge being more or less undulating. At +other times, there were large, soft, dusky, feathery projections from +it, spreading out to the equator; in almost every case, these streamed +backward, towards the east limb, as if the south belt were moving +faster than the equatorial region. The north band was markedly +different from this. It was always much diffused towards the equator. +The edges were sometimes festooned with dusky, cloud-like forms. I +would refer to the drawings of Pl.~III (November~10, 22); Pl.~II +(October~7, 10, etc.), as showing the differences in the two belts. A +long light rift was frequently visible near the extreme north edge of +the north band. From the fact that this always bore the same relative +position to the bright spot in the south band, I infer that the north +component of the equatorial band rotated in the same time as the +south component; but from the retarded appearance of the dusky +masses projected from the inner edge of the south band, and frequently +from the north band, one might also infer a somewhat slower +rotation at the equator. This, however, is a mere conjecture, with no +other warrant than appearances. + +In reference to this retardation of the masses projected from the +south band toward the equator, I quote an observation of mine on +April~1, 1886, respecting one of the most remarkable appearances +that I have seen on \textit{Jupiter}: ``At $12^\text{h}\,45^\text{m}$, three of the dark projections +ranged along the inner edge of the belt and just south of the +equator. I noticed that from the summit of each there extended for +a short distance in a following direction, a dusky streak, looking like +smoke. I was strongly impressed with the resemblance to what might +be called a silhouette view of three volcanic peaks, ranged in a line +and vomiting smoke, which a strong wind was carrying eastward!'' +(\textit{Sid.~Mess.}, May, 1886, p.~156.) +%-----File: 100.png----- + +\nbsubsectionheading{The History of the Formation of a New Belt.} + +In all the drawings previous to the 1st of November, 1880, a +very thin line or belt is shown, just north of the north equatorial belt. +In the first observation, in 1879, this narrow line was reddish, and +formed a neat border to the north side of a delicate band or space +that lay between it and the equatorial band. It was also the south +edge or border to a delicate broad white band that encircled the +northern hemisphere. Finally, the delicate band south of it faded, +and became of the same tint as the light band to the north, thus leaving +the border occupying the position of a distinct linear belt around the +planet. This is what I have called the first north linear belt, or, simply, +the first linear belt. It continued thus perfectly linear, without a mark +on it, until the latter part of October, when it rapidly underwent a +change so remarkable that I have thought it worth describing in detail. +On the night of October~21, 1880, at $9^\text{h}\,30^\text{m}$, this belt appeared a little +swollen, or thicker than usual. On the 23d, the entire planet seemed to +be undergoing a great change, so much so that I wrote in my note book: +``\textit{Jupiter} is undergoing some remarkable changes now; there are a +great many degrees of shade, somewhat like ill-defined spots and +light spaces, appearing in the southern hemisphere near the Great +Spot. The space between the north edge of the north equatorial +band and the first linear belt is deepening in tint, as it was last year---a +grayish green. At $8^\text{h}$ the first linear belt near the following limb is +knobbed in appearance, as if several little dark beads were strung on +it, and at $9^\text{h}$ it was seen to have two pretty distinct, dusky spots on it, +close to each other.'' + +On account of the remarkable character of these changes I feel +that it is proper, strictly as a matter of record, to give my notes +in full: + +\begin{description} +\item[1880.\; Nov.~1.] \textit{Jupiter} has been undergoing some remarkable +changes. From the time the Red Spot began to appear until after +its transit, the first linear belt was composed of a string of large dusky +spots. I counted five, each as large as the shadow of a satellite. +Under the best definition, they appeared as black as the shadows of +the two satellites (I and II, shown in the drawing), and the belt elsewhere +appeared thicker than usual. + +\item[Nov.~2.] At $6^\text{h}\,30^\text{m}$ the affected belt observed last night appeared +very heavily marked. + +\item[Nov.~3.] $7^\text{h}\,45^\text{m}$. The disturbed portion of the belt just appearing. +At $8^\text{h}\,25^\text{m}$, the affected part reaches from the following limb to near +%-----File: 101.png----- +midway the disc. It is heavy, broad and uneven. $8^{\text{h}}40^{\text{m}}$. The first +portion of this is in transit; a number of roundish, cloudy masses +on it clear to the following limb. + +\item[Nov.~4.] It is heavily marked, and its following portion transited +at $6^{\text{h}}9^{\text{m}}$. + +\item[Nov.~7.] $8^{\text{h}}$. The belt faint and undecided; no trace of the +affected part. + +\item[Nov.~8.] Near $7^{\text{h}}$. The belt now is heavily marked all the way +across the disc, and dark, with remarkably large, distinct, knotty +lumps, in places quite broad with them. The disturbed region +plainly visible; almost the most conspicuous part of the planet. +Near $9^{\text{h}}$, that portion of the belt visible is not affected at all, but was +faint and ill-defined. + +\item[Nov.~10.] From $7^{\text{h}}30^{\text{m}}$ until $11^{\text{h}}$, the belt was very heavy and dark. +It consisted of a strip of ``veiling,'' pretty even at its northern edge, +but undulating southwards; it was heavily nucleated at several points +by heavy, blackish spots, and at these points the ``veiling'' was +pressed outwards towards the equator. Later, that portion opposite +the Red Spot, which was so heavily affected on November~1, was +seen to be slightly wavy, but faint and ill-defined. + +\item[Nov.~11.] Before the Red Spot had appeared the belt was affected +as before. That portion opposite the Red Spot at transit was diffused +and slightly wavy. Near $10^{\text{h}}$, after the spot had disappeared, the belt +was a pale blue, broader than usual. + +\item[Nov.~18.] $7^{\text{h}}$ to $8^{\text{h}}$. Opposite the Red Spot, the belt was very +diffused and broad, and appeared slightly wavy where the spots of +November~1 appeared. + +\item[Nov.~20.] $9^{\text{h}}49^{\text{m}}$. The belt is very diffused and faint, with no +spots on it. + +\item[Nov.~23.] $8^{\text{h}} 35^{\text{m}}$. Three large and intensely \emph{black spots} nearing +transit. The spots are as black as the shadows of the satellites. + +\item[Dec.~1.] $7^{\text{h}}$. The belt is broad, heavy and distinct across the +entire disc. It is dotted with black spots. $7^{\text{h}}20^{\text{m}}$. It is now +heavier to the preceding side of the disc, and is faded and diffused +following. $8^{\text{h}}45^{\text{m}}$. The belt is now faint and diffused across the +entire disc. + +\item[Dec.~2.] $6^{\text{h}}51^{\text{m}}$. It is faint and diffused, and no dark spots on +it. At $7^{\text{h}}37^{\text{m}}$, it is heavy with separate ``blocks'' or oblong spots. +These are probably the ones seen on November~1, which have gone +completely around the planet, and have now arrived at the point +where they where first seen. They are about as conspicuous as +%-----File: 102.png----- +the equatorial belts, and are moving around the planet with great +velocity. + +\item[Dec.~5.] The large spots have drifted past the Red Spot, and +appear as at last observation---broken---forming a disjointed belt. +At $8^{\text{h}}$, the belt is composed of a number of dusky spots that stretch +from limb to limb. + +\item[Dec.~7.] $7^{\text{h}}19^{\text{m}}$. The belt is heavy and broken. + +\item[Dec.~9.] $8^{\text{h}}$ to $10^{\text{h}}$. The belt is heavy and uneven. The south +edge has a light rim or border. + +\item[Dec.~10.] The northern hemisphere is delicately beautiful. The +south side of the new belt consists of beautiful curves, their inner +(south) edge bordered with a light line. I notice that the equatorial +edge of the north equatorial band has the same or corresponding +curves to those in the new belt. + +\item[Dec.~14.] $6^{\text{h}}35^{\text{m}}$. The new belt consists of several large dusky +spots. + +\item[Dec.~29.] $7^{\text{h}}40^{\text{m}}$. The new belt faint, the scolloped % OED: legit variant spelling + edge seen with difficulty. + +\item[Dec.~30.] About $9^{\text{h}}$, it is heavy and undulating. + +\item[Dec.~31.] $8^{\text{h}}$. The new belt is faint. + +\item[1881. \; Jan.~7.] $8^{\text{h}}$ to $9^{\text{h}}$. The new belt is deeply scolloped---long +and regular sweeps; it fades northwards. There is no white rim to +the scollops. The belt diffuses north as a grayish shade all over the +northern hemisphere. The second and third linear belts that crossed +the northern hemisphere in 1880 cannot be seen. + +\item[March~6.] $7^{\text{h}} 30^{\text{m}}$. The new belt is much scolloped. + +\item[July~2.] $15^{\text{h}}$. There is a heavy diffused belt north of the equatorial +belts, where, in 1880, existed the first linear belt. This is the +final result of the spots that broke out on it November~1, 1880. + +\item[July~9.] $14^{\text{h}}30^{\text{m}}$. The new belt is broad and diffused, and of a +brick-dust red. + +\item[Oct.~3.] The new belt is very diffused. There is a dark line +running through it a little north of the middle of the belt. [Is this +the first linear belt?] A small, white spot, like a satellite, on its +south edge, transited at $10^{\text{h}} 15^{\text{m}}$. + +\item[Oct.~14.] $10^{\text{h}}$. The new, diffused, reddish belt is double. +\end{description} + +This is the complete history of the formation of at least \emph{one} of +the belts of \textit{Jupiter}; and probably no more remarkable outburst has +been witnessed. + +During the time these striking changes were taking place the +%-----File: 103.png----- +weather was very bad, and only occasional glimpses of the planet +could be had. These glimpses, though, gave sufficient evidence of +the rapid changes that were taking place. These changes were so +rapid and peculiar, and the weather so unpropitious, that no transits +that could be positively identified as belonging to the same portion +of the affected belt could be obtained, and therefore the motions of +these spots could only be estimated. But it was clearly evident that +they were extremely rapid. If the sketches refer to identical objects, +the period, with reference to the Red Spot, would not be far from +thirty days, or two-thirds of the period of the White Spot, with reference +to the Great Spot. + +Let us briefly review what the notes tell us about this disturbance. +For, at least, over one year, a thin, uniformly even stripe +around \textit{Jupiter} existed north of his equatorial belt. About the last +of October, 1880, both hemispheres of the planet were greatly +affected by a disturbance that finally culminated in a great outbreak +on this thin stripe, just mentioned. First, it became swollen in +places; then, lumpy spaces appeared on it; next, small black spots +were formed, each with a penumbra---not unlike a sun-spot; these +had a very rapid motion westward on the planet, and enlarged and +increased in longitudinal extent, becoming large, oblong, dusky +spots, without a black nucleus. They then diffused into a ``veiling,'' +with condensations in it. This ``veiling'' became beautifully scolloped, +its southern side consisting of graceful, light-rimmed curves, +which decreased in sweep as they extended eastwards. Finally, these +encircled the planet completely, diffusing northwards quite to the +pole. The energies that produced the disturbance finally died out, +and the beautiful curve-bordered belt lost its characteristic features +and toned down to a broad, diffused, red belt, surrounding the +planet; and this finally became double, and was apparently a fixed +feature of the surface when I ceased to observe it. + + +\nbsubsectionheading{The Polar Caps.} + +The north polar cap was variable in its color and in the distance +to which it extended. It was frequently noted to be of a delicate +wine tint; at other times it was pale gray. Its usual limit was the +third linear belt, though on several occasions it extended nearer the +equator. At these times the third belt was seen crossing it. + +The edges of the south cap were seldom well-defined. I have +never seen it of a warm tint. These caps have never been very +deeply marked. One striking fact was noted on several occasions. +%-----File: 104.png----- +When dawn had whitened the sky the poles appeared to grow darker +and more dusky in color. There was usually a marked difference +in the appearance of the northern and southern hemispheres of the +planet. The northern was free of spots, except several tiny \emph{black} +ones, which were visible for a long time on the third linear belt, +and which did not have a greatly different period from that of the +Red Spot. Graceful, narrow linear belts crossed this hemisphere, +and light bands were often seen. In the southern hemisphere there +was no such symmetry. The Great Red Spot, dusky shadings, strips +or fragments of belts, were the characteristic features of the southern +hemisphere. + +It is a very difficult question as to which portion of the surface +of the planet is the highest---whether the belts are at a lower depth +than the whiter surface or otherwise. During these observations I +was frequently impressed with the idea that the general matter of the +equatorial belts was at a lower altitude. I was particularly struck +with this on several occasions. A peculiar brushing-out or smearing +of the bright surface adjacent to the south band, which was recorded +on several dates, had every appearance of a blending of the light +surface over and above the belt. Several times in 1886 a luminous +spot was seen close to the northern edge of the north equatorial +band that seemed to push the white surface over and above the belt +The more rapid rotation of the belt is also consistent with its being +at a lower altitude. + +At a number of occultations of the satellites I watched carefully +for any evidences of their being seen through the edges of the +planet, but saw nothing of the kind. Professor \textsc{Holden} informs +me, however, that, with the thirty-six-inch equatorial, the whole disc +of a satellite has been visible within the planet's atmosphere, at +every occultation he has observed. (See, also, the observations of +47~\textit{Librć} by \textit{Jupiter}, as observed by Professor \textsc{Holden} and myself, +June~9, 1888. \textit{A.~J.}, vol.~8, p.~64.) + +I would call special attention to the second drawing of 1880, November~1 +(Plate~II). There is a large lithograph of \textit{Jupiter} published +by the \textsc{Scribners}, from a drawing by \textsc{Trouvelot}. This was made +in Cambridge, Mass., November~1, 1880, ($9^\text{h}\,30^\text{m}$, Cambridge mean +time). The difference of longitude between Nashville and Cambridge +is $1^\text{h}\,3^\text{m}$. My drawing was made at $8^\text{h}\,30^\text{m}$, Nashville mean +time, adding the difference of longitude, and we have $9^\text{h}\,33^\text{m}$, Cambridge +mean time, for my drawing, or within three minutes of the +time of the drawing by \textsc{Trouvelot}. That is to say, that while my +%-----File: 105.png----- +pencil, in Nashville, was marking on the paper, \textsc{Trouvelot}, at +Cambridge, Mass., was, at that identical instant, drawing the same +thing. The two drawings are exactly similar in the main features. +His telescope was larger than mine, and he, therefore, saw more +details. To the left below the belt, on this drawing, are the first +and second satellites; the first nearer the belt. On the Red Spot +is the shadow of the second satellite, while near the equatorial belt is +the shadow of the first moon. + +I have collected nearly all the observations of transits of spots +over the central meridian of \textit{Jupiter's} disc, and present them in the +following table. I would state, in reference to these observations, +that the first ones to the latter part of September may be affected by +an error in the times of as much as two or three minutes outside of +the error of observation. I had no means of determining my time, +and depended upon the tower clock of the University, which, I +afterwards found, had not been carefully looked after during the +vacation season. I therefore give them with the above caution. I +regret this; for I believe the observations themselves were made +with much accuracy for simple eye-estimates. Some that were +obviously far out, from the above cause, I have rejected altogether. + +In conclusion, I would express my indebtedness to Professor +\textsc{Holden}, without whose interest and encouragement these observations +and drawings would never have been published. + + +\nbsubsectionheading{Descriptions of the Drawings.} + +\nbsubsubsectionheading{\textit{Plate I.}} + +\begin{description} +\item[1879. \; Oct.~3.] Shows the Red Spot and the area of light surrounding +it, and the peculiar diffusion of the south band towards the +south, which forms a bay around the following end of the spot. +North of the equatorial bands is shown the narrow linear belt, which +later on plays an important part in the drawings. This we have +designated the first linear belt north. + +\item[1880. \; July~24.] A very small dusky spot is seen between the +equatorial belts and the south pole. The Red Spot is appearing at +the following limb. + +\item[July~30.] The peculiar mass of shading, referred to in the notes, +is seen attached to the south preceding portion of the Red Spot. + +\item[Aug.~13.] This shows the famous White Spot in the south part +of the equatorial bands, near the following limb. + +\item[Aug.~16.] The White Spot is nearer the Red Spot. + +\item[Aug.~17.] Shows a group of small spots, and the mass of shading +%-----File: 106.png----- +and the Red Spot just coming into view around the following +limb. The left-hand one of the three small spots is the same as +that shown in the drawings of July~24 and August~1. + +\item[Sept.~10.] The White Spot is shown in one of its brightest +phases, with a luminous train following it near the equator. It has +passed the Red Spot and left it far behind. + +\item[Sept.~16.] Shows the shading now separated from the Red Spot, +which it is leaving slowly behind. +\end{description} + +\nbsubsubsectionheading{\textit{Plate II.}} + +\begin{description} +\item[1880. \; Sept.~18.] This shows the thin red line springing from the +south side of the equatorial belt and streaming backwards parallel to the +equator, near the following end of the Red Spot. Two very small, +very black spots are seen. One of these was visible for a great +length of time on the second linear belt north. Though the Red +Spot is shown in this drawing, the white one is invisible, being indeed +on the other side of the planet at this time. + +\item[Sept.~24.] The Red Spot is disappearing at the preceding limb, +while the White Spot, with its train of light, is near the middle of the +disc. + +\item[Sept.~28.] The Red Spot is just past the middle of the disc, and +the White Spot is fully within the following limb. + +\item[Sept.~30.] (I) Satellite I is seen on the Red Spot, while its +shadow is on the edge of the spot. The shading and two of the +small spots in the southern hemisphere are also seen. (II) Satellite +I and its shadow have now left the Red Spot. On this occasion I +transited most of the disc as a dusky brown spot, south following its +shadow. The White Spot is appearing at the following limb. + +\item[Oct.~7.] Satellites I and II are in transit, partially hiding their +shadows, which are close north following them. + +\item[Oct.~23.] (I) The Red Spot is disappearing, and some dusky +lumps are coming into view on the first linear belt north. These are +the first indication of the great outbreak on that belt. (II) These +swollen places in the belt are shown in transit. + +\item[Nov.~1.] (I) The Red Spot is appearing, while the shadow of I +is just skirting its north preceding end, and the shadow of II is on +the spot. Near the middle of the disc, south of the equator, satellite +I itself is shown as a dusky spot near transit, while satellite II is lost in +the brightness of the disc. Near the north following limb a string of +dark spots is coming into view on the first linear belt. (II) Both +satellites now appear as small pale discs, relieved by the slight +%-----File: 107.png----- +duskiness of the planet near the preceding limb. The shadows +have changed their places with respect to the Red Spot. The row +of dark spots on the first linear belt is now in transit. These look +like sun-spots---a black umbra surrounded by a penumbra. These are, +doubtless, the same spots that are shown in an incipient stage of +development in the sketches of October~23. They are, therefore, in +rapid motion around the planet. (Compare their relative position to +the Red Spot in the first drawing of October~23 with that of the +second drawing of November~1.) + +\item[Nov.~7.] We have the White Spot in this drawing on the opposite +side of the planet to the Red Spot. Two other bright spots are just +ahead of it. +\end{description} + +\nbsubsubsectionheading{\textit{Plate III.}} + +\begin{description} +\item[1880. \; Nov.~8.] The second satellite is seen as a white spot on +the south following end of the Red Spot, while I is partially on the +north preceding end as a dusky spot, and its shadow is shown to the +right of the center below the equatorial belt. That portion of the first +linear belt north now visible with the Red Spot has not as yet been +affected by the eruptive spots. + +\item[Nov.~10.] (I) The shadow of III is seen at a high southern latitude, +and a mass of dusky shading is north following it. Another +phase of the new spots on the first linear belt is shown. (II) The +Red Spot is now visible, and the affected part of the belt has been +carried off the disc by rotation. That portion now seen is faint and +wavy. + +\item[Nov.~18.] The White Spot is in one of its brilliant phases, just +above the following end of the Red Spot. + +\item[Nov.~20.] The White Spot has now moved to a point near the +preceding end of the Red Spot, and is in one of its quieter phases. + +\item[Nov.~22.] (I) Another phase of the northern spots is shown. +The two small spots in the southern hemisphere have been shown in +previous sketches. The Red Spot is not in sight. (II) The Red +Spot and the White Spot are both visible---the White Spot having left +the Red Spot far behind. + +\item[Nov.~23.] (I) The distance between the White and Red Spots +has sensibly increased since the drawing of last night. (II) The Red +Spot is disappearing, and the first portion of the affected belt is coming +into view at the north following limb. + +\item[Dec.~2.] (I), (II), (III) show further phases of the disturbance. +\end{description} +%-----File: 108.png----- + +\nbsubsubsectionheading{\textit{Plate IV.}} + +\begin{description} +\item[1880. \; Dec.~9.] Shows the spots becoming connected by long +loops bordered with a brilliant line on the equatorial side. + +\item[Dec.~10.] (I) Another portion of the new belt visible when the +Great Spot is leaving the disc---the shadow of a satellite on it. (II) +This drawing was made after the Red Spot had disappeared. + +\item[1881. \; Aug.~29.] In the place of the first linear belt north there is +now a broad diffused reddish belt that completely encircles the planet. +The remarkable spots and the beautiful light-rimmed curves have disappeared, +and all the other singular transformations that the first +linear belt north underwent have finally ended in the formation of this +now persistent diffused red belt. + +\item[Nov.~5.] The Red and the White Spots are again near each +other. The diffused red belt, the scene of the great disturbance +of 1880, remains unchanged. Two of the small black spots previously +seen are shown on the second linear belt north---which, suffering +almost total obliteration during the changes of 1880, is now as +marked as ever. + +\item[1885. May~12.] The Great Spot is now very faint. The south +equatorial band diffuses southwards around the following end of the +Red Spot, as in 1879. + +\item[1886. April~22.] A white cloud has formed over the middle of +the great Red Spot, almost obliterating it. The peculiar bay formed +around the following end of the spot by the south band is now very +persistent. +\end{description} + +I have observed a few abnormal transits of Satellites I, III and +IV, which are given here, so that they may be available for a study +of the causes of these dark and black transits. + +\nbsubsectionheading{Satellite I.} + +\begin{description} +\item[1880.] Sept.~30, occasionally seen during transit as a brownish +spot; Nov.~1, seen in mid-transit as a dusky spot; Nov.~8, seen in +mid-transit as a dusky, brownish spot; Dec.~1, seen in mid-transit +quite plainly as a dark spot---quite dark. +\end{description} + +\nbsubsectionheading{Satellite III.} + +\begin{description} +\item[1879.] Aug.~2, very black nearly all the way across---mistaken +for shadow; Sept.~14, black during transit. + +\item[1880.] Sept.~28, carefully watched throughout transit, not visible +except near limbs---not a black transit; Dec.~30, at $8^\text{h}\,30^\text{m}$, seen +in a high south latitude as a small, black spot; continued visible as +%-----File: 109.png----- +black spot until near \textit{p}.\ limb, and only lost its blackness at $9^\text{h}\, 4^\text{m}$. +Ten minutes after emergence it was certainly as bright as that part +of disc on which it appeared as black as a shadow. + +\item[1880.] Nov.~10, the shadow of III appeared fuzzy and not +black. It seemed to be affected by penumbra. + +\item[1881.] Oct.~13, at inferior conjunction it passed the south pole +with only three-quarters of its disc on the planet---carefully estimated. + +\item[1883.] Feb.~12 ($9^\text{h}\, 40^\text{m}$), small, black. + +\item[1885.] May~9 ($7^\text{h}\, 15^\text{m}$), on north edge of belt very black, and +remained dark until close to limb. +\end{description} + +\nbsubsectionheading{Satellite IV.} + +\begin{description} +\item[1885.] Feb.~27, at $6^\text{h}\, 15^\text{m}$, it is as black as its shadow, and about +half as large---it remained dark up to nearly the moment of emergence. + +\item[1886.] May~8 ($9^\text{h}\, 20^\text{m}$), IV near north pole, very black. +\end{description} + +\begin{small} +\begin{center} +\begin{longtable}{c@{ }r@{\,}| *{7}{r@{ }l|} r@{ }l} +\multicolumn{18}{c}{\textsc{ + Observed Transits of Spots on \textit{Jupiter}.}} +\\[1ex] +\multicolumn{18}{c}{\textsc{\footnotesize + (nashville mean time.)}} +\\[1ex] +\hline\hline + \multicolumn{2}{c|}{\multirow{2}{*}{\centering\textsc{ + Date.}}} +& \multicolumn{6}{c|}{\textsc{ + red spot.}\rule{0pt}{3ex}} +& \multicolumn{2}{m{3em}|}{\multirow{2}{3em}{\centering\textsc{% +\rule{0pt}{2ex}white spot.}}} +& \multicolumn{2}{c|}{\multirow{2}{*}{\centering\textit{ a }}} +& \multicolumn{2}{c|}{\multirow{2}{*}{\centering\textit{ b }}} +& \multicolumn{2}{c|}{\multirow{2}{*}{\centering\textit{ c }}} +& \multicolumn{2}{c}{\multirow{2}{*}{\centering\textit{ d }}} +\\[1ex] +\cline{3-8} +&&\multicolumn{2}{c|}{\footnotesize\textit{ P.~End.\rule{0pt}{3.5ex}}} +& \multicolumn{2}{c|}{\footnotesize\textit{ Middle. }} +& \multicolumn{2}{c|}{\footnotesize\textit{ F.~End. }} +&&&&&&&&&&\\[1ex] +\hline + \multicolumn{2}{c|}{\footnotesize 1880.} +& \footnotesize\textit{h.} & \footnotesize\textit{m.} +& \footnotesize\textit{h.} & \footnotesize\textit{m.} +& \footnotesize\textit{h.} & \footnotesize\textit{m.} +& \footnotesize\textit{h.} & \footnotesize\textit{m.} +& \footnotesize\textit{h.} & \footnotesize\textit{m.} +& \footnotesize\textit{h.} & \footnotesize\textit{m.} +& \footnotesize\textit{h.} & \footnotesize\textit{m.} +& \footnotesize\textit{h.} & \footnotesize\textit{m.} +\endfirsthead +\hline\hline + \multicolumn{2}{c|}{\multirow{2}{*}{\centering\textsc{ + Date.}}} +& \multicolumn{6}{c|}{\textsc{ + red spot.}\rule{0pt}{3ex}} +& \multicolumn{2}{m{3em}|}{\multirow{2}{3em}{\centering\textsc{% +\rule{0pt}{2ex}white spot.}}} +& \multicolumn{2}{c|}{\multirow{2}{*}{\centering\textit{ a }}} +& \multicolumn{2}{c|}{\multirow{2}{*}{\centering\textit{ b }}} +& \multicolumn{2}{c|}{\multirow{2}{*}{\centering\textit{ c }}} +& \multicolumn{2}{c}{\multirow{2}{*}{\centering\textit{ d }}} +\\[1ex] +\cline{3-8} +&&\multicolumn{2}{c|}{\footnotesize\textit{ P.~End.\rule{0pt}{3.5ex}}} +& \multicolumn{2}{c|}{\footnotesize\textit{ Middle. }} +& \multicolumn{2}{c|}{\footnotesize\textit{ F.~End. }} +&&&&&&&&&&\\[1ex] +\hline + \multicolumn{2}{c|}{} +& \footnotesize\textit{h.} & \footnotesize\textit{m.} +& \footnotesize\textit{h.} & \footnotesize\textit{m.} +& \footnotesize\textit{h.} & \footnotesize\textit{m.} +& \footnotesize\textit{h.} & \footnotesize\textit{m.} +& \footnotesize\textit{h.} & \footnotesize\textit{m.} +& \footnotesize\textit{h.} & \footnotesize\textit{m.} +& \footnotesize\textit{h.} & \footnotesize\textit{m.} +& \footnotesize\textit{h.} & \footnotesize\textit{m.} +\endhead +\multicolumn{1}{r@{ }}{July} &10. +&\ 14&40 &\ 15&22 &\ 15&47 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + `` &17. & 15&20 & 15&44 & 16&04 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + `` &24. & 16&12 & 16&40 & 16&57 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + `` &29. & 15&17 & 15&43 & 16&11 +&\Skipped +&\ 14&00 +&\Skipped &\Skipped +&\Skipend +\\ + +\multicolumn{1}{r@{ }}{Aug.} & 1. +& 16&52 & 17&18 & 17&42 & &&\ 15&18 +&\Skipped &\Skipped +&\Skipend +\\ + `` & 7. +&\Skipped &\Skipped +&\Skipped &\Skipped +& 16&09 +&\Skipped &\Skipped +&\Skipend +\\ + `` &11. +&\Skipped +& 11&32 & 12&01 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + `` &13. & 12&36 & 13&\multicolumn{1}{@{}l@{\,}|}{04.5} & 13&32 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + `` &16. & 10&\multicolumn{1}{@{}l@{\,}|}{16.5}& 10&35 & 10&56 +&\Skipped &\Skipped +&\ 10&36 +&\Skipped &\Skipend +\\ + `` &17. & 15&55 & 16&19 & 16&41 +&\Skipped +&\ 14&14 +&\Skipped &\Skipped +&\Skipend +\\ + `` &23. & 10&\multicolumn{1}{@{}l@{\,}|}{54.5}& 11&19 +& 11&\multicolumn{1}{@{}l@{\,}|}{40.5} +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + `` &28. +&\Skipped +& 10&\multicolumn{1}{@{}l@{\,}|}{24.5} +& 10&\multicolumn{1}{@{}l@{\,}|}{48.5} +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + `` &30. & 11&\multicolumn{1}{@{}l@{\,}|}{34.7} +& 11&\multicolumn{1}{@{}l@{\,}|}{58.2} +& 12&\multicolumn{1}{@{}l@{\,}|}{24.2} +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + +\multicolumn{1}{r@{ }}{Sept.} & 9. +& 9&\multicolumn{1}{@{}l@{\,}|}{51.7} +& 10&\multicolumn{1}{@{}l@{\,}|}{15.2} +& 10&\multicolumn{1}{@{}l@{\,}|}{39.2} +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + `` &14. +&\Skipped +& 9&\multicolumn{1}{@{}l@{\,}|}{27$\pm$} +&\Skipped &\Skipped +&\Skipped +&\ 10&21 +&\Skipped &\Skipend +\\ + `` &15. +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipped +& 9&47 +&\Skipped &\Skipend +\\ + `` &16. & 10&32 & 11&02 & 11&24 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + `` &18. & 12&14 & 12&\multicolumn{1}{@{}l@{\,}|}{37.7} +& 13&03 +&\Skipped &\Skipped +& 12&22 +&\Skipped &\Skipend +\\ + `` &25. & 12&58 & 13&24 & 13&45 +&\Skipped +&\ 10&46 +&\Skipped &\Skipped +&\Skipend +\\ + `` &28. & 10&28 & 10&53 & 11&17 +&\Skipped &\Skipped +& 10&38 &11&40 +&\Skipend +\\ + `` &30. & 12&\multicolumn{1}{@{}l@{\,}|}{01.5} +& 12&\multicolumn{1}{@{}l@{\,}|}{29.5} +& 12&54 +&\Skipped +& 9&48 & 12&11 +&\Skipped &\Skipend +\\ + +\multicolumn{1}{r@{ }}{Oct.} & 1. +& 7&57 & 8&25 & 8&52 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\ \ 7&28 +\\ + `` & 6. & 7&\multicolumn{1}{@{}l@{\,}|}{01.5} +& 7&\multicolumn{1}{@{}l@{\,}|}{29.5} +& 7&\multicolumn{1}{@{}l@{\,}|}{57.5} +&\Skipped &\Skipped +&\Skipped +& 8&18 +&\Skipend +\\ + `` & 7. & 12&45 & 13&13 & 13&40 +&\Skipped +&\ 10&24 +&\Skipped &\Skipped +&\Skipend +\\ + `` &10. & 10&\multicolumn{1}{@{}l@{\,}|}{13.5} +& 10&\multicolumn{1}{@{}l@{\,}|}{39.5} +& 11&\multicolumn{1}{@{}l@{\,}|}{08.5} +&\Skipped &\Skipped +&\ 10&\multicolumn{1}{@{}l@{\,}|}{26.5} +&\Skipped &\Skipend +\\ + `` &13. & 7&44 & 8&10 & 8&36 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + `` &20. & 8&29 & 8&53 & 9&17 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + `` &22. +&\Skipped +& 10&30 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipped &\Skipend +\\ +%-----File: 110.png----- +\multicolumn{1}{l@{ }}{Nov.} & 1. + & 8&19 & 8&48 +& 9&\multicolumn{1}{@{}l@{\,}|}{10.5} +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + `` & 4.&\Skipped & 6&15 & 6&39 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + `` & 7. +&\Skipped &\Skipped +&\Skipped +& 7&59 +&\Skipped &\Skipped +&\Skipped &\Skipend +\\ + `` & 8.& 9&06 & 9&31 & 9&57 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + `` &10.&\ 10&44 &\ 11&09 &\ 11&33 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + `` &11.& 6&34 & 6&57 & 7&25 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + `` &18.& 7&17 & 7&42 & 8&09 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + `` &20.& 8&58 & 9&22 & 9&48 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + `` &22.& 10&40 & 11&01 & 11&29 &\ 10&18 & 7&46 +&\Skipped &\Skipped +& 9&07 +\\ + `` &23.& 6&32 & 6&53 & 7&20 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + +\multicolumn{1}{l@{ }}{Dec.} & 2. + & 8&56 & 9&15 & 9&41 & 6&27 +&\Skipped &\Skipped +& 7&33 & 7&23 +\\ + `` & 5.& 6&28 & 6&46 & 7&11 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + `` & 6. +&\Skipped &\Skipped +&\Skipped +& 8&\multicolumn{1}{@{}l@{\,}|}{53$\pm$} +&\Skipped &\Skipped +&\Skipped &\Skipend +\\ + `` & 7.& 7&59 & 8&23 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipped &\Skipend +\\ + `` & 9.& 9&37 & 10&01 &\ 10&24 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + `` &14.& 8&46 & 9&09 & 9&34 & 9&20 +&\Skipped &\Skipped +&\Skipped & 7&05 +\\ + `` &29.&\Skipped +&\Skipped &\Skipped +& 7&41 +&\Skipped &\Skipped +&\Skipped &\Skipend +\\ + `` &31.& 7&45 & 8&\multicolumn{1}{@{}l@{\,}|}{08.5}& 8&33 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + +\multicolumn{2}{c|}{\footnotesize 1881.} &&&&&&&&&&&&&&&& +\\ +\multicolumn{1}{l@{ }}{Jan.} & 7. + & 8&39 & 9&01 & 9&24 & 8&02.5 +&\Skipped &\Skipped +&\Skipped &\Skipend +\\ +\multicolumn{1}{l@{ }}{Mar.} & 6. + & 6&52 & 7&14 & 7&36 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + +\multicolumn{1}{l@{ }}{July} & 2. +&\Skipped &\Skipped +& 15&21 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + `` & 9.& 15&12 & 15&34 & 15&57 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + `` & 11.& 16&47 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + `` & 21.& 15&\multicolumn{1}{@{}l@{\,}|}{04.5}& 15&27 & 15&50 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + `` & 28.& 15&53 & 16&12 & 16&36 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + +\multicolumn{1}{l@{ }}{Aug.} & 3. +&\Skipped &\Skipped +&\Skipped +& 14&\multicolumn{1}{@{}l@{\,}|}{42.5} +&\Skipped &\Skipped +&\Skipped &\Skipend +\\ + `` & 5.&\Skipped +&\Skipped &\Skipped +& 15&46 & 16&06 +&\Skipped &\Skipped +&\Skipend +\\ + `` &29. +&\Skipped &\Skipped +&\Skipped &\Skipped +& 15&\multicolumn{1}{@{}l@{\,}|}{39.5} +&\Skipped &\Skipped +&\Skipend +\\ + +\multicolumn{1}{l@{ }}{Oct.} & 10. +&\Skipped &\Skipped +& 17&32 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + `` &29. +&\Skipped &\Skipped +&\Skipped +& 10&25 +&\Skipped +& 10&\multicolumn{1}{@{}l@{\,}|}{15$\pm$} +&\Skipped &\Skipend +\\ + +\multicolumn{1}{l@{ }}{Nov.} & 3. +&\Skipped & 6&\multicolumn{1}{@{}l@{\,}|}{50$\pm$} +&\Skipped +& 8&24 +&\Skipped &\Skipped +&\Skipped &\Skipend +\\ + `` & 5.& 8&09 & 8&30 & 8&54 & 9&34 +&\Skipped +& 9&20 +&\Skipped &\Skipend +\\ + `` &12.& 9&52 & 9&14 & 9&42 & 8&44 +&\Skipped &\Skipped +&\Skipped &\Skipend +\\ + `` &15.& & & 6&45 & 7&08 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + `` &26.&\Skipped +&\Skipped +& 7&27 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + `` &29.& 8&54 & 8&15 & 8&37 +&\Skipped +& 8&\multicolumn{1}{@{}l@{\,}|}{30$\pm$} +&\Skipped &\Skipped +&\Skipend +\\[1ex] + +\multicolumn{2}{c|}{\footnotesize 1882.} &&&&&&&&&&&&&&&&\\ +\multicolumn{1}{l@{ }}{Jan.} &23. +& 8&19 & 8&40 & 9&03 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ +\multicolumn{1}{l@{ }}{Feb.} & 4. + & 8&08 & 8&28 & 8&49 & 9&07 +&\Skipped &\Skipped +&\Skipped &\Skipend +\\ +\multicolumn{1}{l@{ }}{April} &27. +&\Skipped &\Skipped +& 6&\multicolumn{1}{@{}l@{\,}|}{50$\pm$} +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\[1ex] + +\multicolumn{2}{c|}{\footnotesize 1885.} &&&&&&&&&&&&&&&&\\ +\multicolumn{1}{l@{ }}{April} &25. +&\Skipped +& 10&\multicolumn{1}{@{}l@{\,}|}{41.5} +&\Skipped +& 7&\multicolumn{1}{@{}l@{\,}|}{56.5} +&\Skipped &\Skipped +&\Skipped &\Skipend +\\ +\multicolumn{1}{l@{ }}{May} &12. +&\Skipped +& 9&43 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipped &\Skipend +\\ +\multicolumn{1}{l@{ }}{May} &13. +&\Skipped &\Skipped +&\Skipped +& 8&48 +&\Skipped &\Skipped +&\Skipped &\Skipend +\\[1ex] + +\multicolumn{2}{c|}{\footnotesize 1886.} &&&&&&&&&&&&&&&&\\ +\multicolumn{1}{l@{ }}{April} &22. +&\Skipped +& 10&18.6 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipped &\Skipend +\\[1ex] + +\multicolumn{2}{c|}{\footnotesize 1888.} &&&&&&&&&&&&&&&&\\ +\multicolumn{1}{l@{ }}{\tablenoteasterisk July} &24. +& 11&\multicolumn{1}{@{}l@{\,}|}{51.9} +& 12&\multicolumn{1}{@{}l@{\,}|}{08.4} +& 12&\multicolumn{1}{@{}l@{\,}|}{29.8} +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\[1ex] + +\multicolumn{2}{c|}{\footnotesize 1889.} &&&&&&&&&&&&&&&&\\ +\multicolumn{1}{l@{ }}{\tablenoteasterisk May} &31. +&\Skipped &\Skipped +& 15&\multicolumn{1}{@{}l@{\,}|}{09.3} +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ +\multicolumn{1}{l@{ }}{\tablenoteasterisk June} & 9. +&\Skipped &\Skipped +& 17&\multicolumn{1}{@{}l@{\,}|}{48.4} +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipend +\\ + `` &17.&\Skipped +& 13&\multicolumn{1}{@{}l@{\,}|}{53.0} +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipped &\Skipend +\\ +\multicolumn{1}{l@{ }}{\tablenoteasterisk July} & 2. +&\Skipped +& 11&19.1 +&\Skipped &\Skipped +&\Skipped &\Skipped +&\Skipped &\Skipend +\\[1ex] +\hline +\multicolumn{18}{l}{\footnotesize* With twelve inch at Lick Observatory. Like the others, in Nashville mean time.} +\end{longtable} +\end{center} +\end{small} + +%-----File: 111.png----- +The transits of a few objects were observed with the six-inch, at +the Vanderbilt University Observatory, as follows: +\begin{tablesetup} +\begin{tabular}{c@{~}c@{~}r@{}c|cccc|cccc|cccc} +\hline\hline +\strut&&&&&&&&&&&&&&&\\ +&\multicolumn{2}{@{}c}{\textsc{date.}}&\phantom{1885.}&\multicolumn{4}{c|}{$e$}&\multicolumn{4}{c|}{$f$}&\multicolumn{4}{c}{$g$}\\ +\strut&&&&&&&&&&&&&&&\\ +\hline +&&&&&\footnotesize\textit{h}.&\footnotesize\textit{m}. +&&&\footnotesize\textit{h}.&\footnotesize\textit{m}. +&&&\footnotesize\textit{h}.&\footnotesize\textit{m}.\\ +1885.& April& 21&\dotfill&&8&02.5&&&\multicolumn{2}{@{}c}{\dotfill}&&&\multicolumn{2}{@{}c}{\dotfill}\\ + `` & `` & 22&\dotfill&&\multicolumn{2}{@{}c}{\dotfill}&&&7 &05.5&&& 6& 55.7\\ + `` & `` & 25&\dotfill&& 7 & 08.2&&&\multicolumn{2}{@{}c}{\dotfill}&&&\multicolumn{2}{@{}c}{\dotfill}\\ + `` & `` & 29&\dotfill&&\multicolumn{2}{@{}c}{\dotfill}&&& 7 &54.5 &&& 7 &46.5\\ + `` & May & 9&\dotfill&& 8& 42.5 &&&\multicolumn{2}{@{}c}{\dotfill}&&&\multicolumn{2}{@{}c}{\dotfill}\\[1ex] +\hline +\end{tabular} +\end{tablesetup} + +{\footnotesize +\textsc{Note} (explanatory of the table of transits).---$a$ is the small spot mentioned +as having been seen 1880, July~24, and subsequently; $b$ is a small black spot, the +\textit{p}.\ of two shown on the second linear belt north in the drawing of 1880, September +28, and subsequently; $c$ is the second of these two black spots; $d$ is the shading +spoken of in connection with the Red Spot; $e$ is a luminous spot, sometimes +recorded as a notch in the north edge of the north equatorial band, probably not +all the same object; $f$ is a very small, intensely black spot \emph{on} the south part of +the equatorial belt---round, and like a satellite's shadow, but smaller; $g$ is a luminous +spot or notch in the north edge of north equatorial band. + +}\ThoughtBreakLong + +\nbsectionheading{DRAWINGS OF \textit{JUPITER} MADE WITH THE 26-INCH +EQUATORIAL, AT WASHINGTON, DURING 1875.} +\addcontentsline{toc}{section}{Drawings of Jupiter made with the 26-inch Equatorial at Washington during 1875. By \textsc{E.~S. Holden}. (Plate V accompanies)} + +\nbsubsubsectionheading{\shortrule\\* +\textsc{By Edward S. Holden.}\\* +\shortrule} + +During June and July, 1875, I made drawings of \textit{Mars} and +\textit{Jupiter}, in colored crayons, for the purpose of comparing the +tints on those two planets. The drawings were all made with +the twenty-six-inch equatorial of the United States Naval Observatory, +usually with a magnifying power of 400, and no pains were +spared to make correct delineations, both as to forms and colors. +From one cause and another, these drawings have not been published. + +I beg to present a photograph of the sketches of \textit{Jupiter} to the +Society. + +The original colored drawings [exhibited to the meeting] will be +deposited in the library of the Lick Observatory, where they will +always be available for comparison with more recent work. Below, +I give the few notes which should accompany the drawings, which +are reproduced in Plate~V. It will be interesting to compare these +%-----File: 112.png----- +drawings with the admirable series by Mr.\ \textsc{Barnard}, which are given +in Plates~I to IV. + +There are three general remarks to be made on these drawings. +In the first place, while the general features of the planet's surface +have remained about the same from 1875 to 1889, there has been an +entire change as to the form and disposition of the details. In the +second place, the disposition of color on the surface of the planet +has entirely changed, also. In 1889 there is very little of the red +color to be seen, except in the great central belt, while in 1875 red +belts were seen almost to the poles. Thirdly, the characteristic red +color itself has changed in a surprising manner since 1875. + +The color of the red markings in 1875 was most carefully +matched in crayons, and I was finally satisfied with the tint of the +drawings. In 1881 I found that the same crayons (pieces of which +I had preserved) would no longer match the red belts. In 1889 +the color of the red belts is entirely different from that previously +drawn. All the observations were made with \textsc{Clark} objectives (of +26, $15\frac{1}{2}$ and 36 inches aperture), which had their color-corrections +very much alike. Unfortunately, it is not practicable to reproduce +these colors in Plate~V. The notes follow: + +The top of the drawing is south; the right-hand side is east, or +following. + +1875. June~16, seeing not good; June~18, hazy; June~24, +the columnar structure in the southernmost belt is somewhat too +coarse; July~13, the position of the shadow of the satellite is for +$8^\text{h}~40^\text{m}$; July~16, planet unsteady. + +\ThoughtBreakLong + +\nbsectionheading{NOTICES FROM THE LICK OBSERVATORY.} +\addcontentsline{toc}{section}{\textit{Notices from the Lick Observatory}} + +\nbsubsubsectionheading{\shortrule\\* +{\small \textsc{Prepared by Members of the Staff.}}\\* +\shortrule} + +\nbsubsectionheading{On the Determination of the Brightness of Stars by Means + of Photography.} +\addcontentsline{toc}{subsection}{\qquad On the Determination of the Brightness of Stars by means of Photography. [Containing a Review of \textsc{Charlier}; \textit{Publ. Astr. Gesell}., No. XIX, 1889.] By \textsc{Edward S. Holden}} + + +Dr.\ \textsc{Charlier}, assistant in the Observatory at Stockholm, has +prepared a memoir\footnote +{\textit{Ueber die Anwendung der Sternphotographie zu Helligkeitsmessungen der Sterne}, von +\textsc{C.V.L.~Charlier}. \textit{Publication der Astronomischen Gesellschaft}, XIX. Leipzig 1889. 4to. +(pp.~viii, 31).} +on the use of photography in determinations of +the brightness of stars, which has been published by the Astronomical +%-----File: 113.png----- +Society of Germany, and dedicated to the Pulkowa Observatory, +on the occasion of the fiftieth anniversary of its foundation, August +19, 1889. + +The subject treated is so new and so important that it will not be +out of place to give a brief review of Dr.\ \textsc{Charlier's} excellent treatise +here, and to add some general considerations on the same question. +The importance of this subject will be obvious, when we consider that +within the next decade we may expect to have at least two sets of +photographic maps, covering the whole sky from pole to pole, and +including millions of stars down to the fourteenth magnitude. + +Besides these systematic maps, hundreds of charts of special +regions will be made. Each star on each of these maps will have +impressed its image on a negative plate as a disc of measurable size. +Hence the magnitude of each and every star \emph{can} be determined if +necessary, and when the catalogue of the stars to the eleventh magnitude, +also proposed by the Congress, is constructed, the magnitude +of each one of these two million stars \emph{must} be given. + +There are two imperative questions to be settled before the principles +on which this great work is to be done can be considered to +be established. The first and more special question is, What is the +relation between the diameter of the photographic image of a star ($d$) +the aperture and focus of the telescope employed ($a$, $f$) and the exposure +time ($t$), and what is the relation between the (photographic) +brightness of a star and the diameter of its image? Having satisfactorily +determined the relations just named, the second and more +general question presents itself, namely: On what fundamental principles +ought the photographic magnitudes of the stars to be assigned? + +\smallskip +These two questions are not treated separately in the work before +us. Its second paragraph states the problem of the photographic +photometry of stars as follows: It is ``to determine the function +which gives the relation between the size of the photographic image +and the photographic brightness of the star, and to determine the +constant quantities in this function \emph{in such a manner that the resulting +photographic brilliancies shall correspond accurately throughout +with the brilliancies determined visually}.'' + +\smallskip +In my judgment, this is by no means the problem of stellar photographic +photometry. It is impossible, in general, to fulfill that portion +of the above statement which I have printed in italics. The +difference between the photographic and the photometric magnitudes +of \textit{Aldebaran}, for example, is more than one and one-half +%-----File: 114.png----- +magnitudes, and so with other stars. We may leave this part of the +question for the moment, and proceed to give a brief analysis of Dr.\ \textsc{Charlier's} +memoir, laying stress principally on the novel portions +of his work. + +The observations which he discusses were made with a photographic +lens by \textsc{Steinheil} of 3.19 inches aperture and 39.37 inches +focus ($\frac{f}{a} = 13$). The plates took in an area of twenty square +degrees. The images were satisfactory over a field of about three +degrees in diameter. Stars to eighth magnitude, inclusive, left trails. +The plates employed were made in Lyons, by \textsc{Lumičre}. Four +plates are discussed. All were exposed on the \textit{Pleiades}, as follows: +No.~2, $t = 13^\text{m}$; No.~4, $t= 2^\text{h}$; No.~24, $t= 1^\text{h}30^\text{m}$; No.~26, $t = 3^\text{h}$. +The plates were exposed at very different altitudes, and no account +is taken of absorption of light by the atmosphere. + +Dr.\ \textsc{Charlier} finds two defects in the plates: first, bright rings +round the larger stars, which he proves to be due to reflections +from the back of the plate (the well-known halation images); and, +again, false stars. He finds no less than fifty-six such false stars on +his plate No.~26. They were probably due to defects in the manufacture +of the plate itself. + +As subjects for experiments he chose the \textit{Pleiades}, because their +photometric magnitudes are accurately determined, and also because +they afford a variety of magnitudes within a comparatively small area. + +Although he does not expressly mention the fact, the \textit{Pleiades} +have the special advantage for his purpose of being all of the same +spectral type. A region containing many very red or many very +blue stars would have given a corresponding number of anomalous +results, which are avoided by choosing a group of stars of one type. +The diameter of each star on each of the four plates was measured. +Calling $H$ the brightness of a star, and $m$ its magnitude, and +0.4 the light ratio, Dr.\ \textsc{Charlier} starts with the formula +\[ +\tag{1} H =(0.4)^m +\] +That is, he assumes that the brightness of a first magnitude star +($m= 1$) is 0.4. It is better to write this formula, I think, +\[ +\tag{2} H_m = (0.4)^{m-1} +\] +which for $m= 1$ gives $H_1= 1$. Assuming the equation (1), however, +and further assuming that when $d$ is zero, $H$ must be zero, he +finds +\[ +\tag{3} m = a - b \log d +\] +%-----File: 115.png----- +Here it may be remarked that, in fact, $H$ is not necessarily zero +for $d=0$, because all stars below a certain brightness will fail to +produce an image on the plate, no matter how long the exposure may +be---for any practical exposure-time. The brightness of a star must +be above a certain finite limit in order to produce any impression at +all. The assumption is sufficiently accurate, however, for the purpose +in hand. The relation between exposure-time and diameter of +star image is next determined from a series of exposures on \textit{Polaris}, +assuming the form +\[ +\tag{4} d = d_0\centerdot t^k +\] +That is, that the diameter of the star-image varies as the $k^\text{th}$ power +of the time. From \textit{Polaris} (two plates) the values of $k$ are 0.243 +and 0.249; from a star 5th mag.\ $k$ results 0.243,---hence, the numerical +value of the diameter of the star-image varies as the fourth +root of the time or +\[ +\tag{5} d=d_0\centerdot\sqrt[4]{t} +\] +This formula shows that the diameter $d$ will be doubled when the +exposure $t$ is increased sixteen-fold. + +If there are no limits to the formula it also shows that, for the +telescope and plates employed, an exposure of $\frac{1}{16}$ second would give +a perceptible image. Without considering the question of the \emph{range +of sensitiveness} of plates I may state it as my opinion that the formulć of +Dr.\ \textsc{Charlier} and those of Professor \textsc{Schaeberle} (\textit{Publ. Ast. +Soc. Pacific}, No.~4) can (at present) be applied safely only to \emph{over-exposed} +stars, and that there is a superior limit also beyond which +they are no longer applicable. Both Dr.\ \textsc{Charlier} and Professor +\textsc{Schaeberle} have found that the stars with the longest exposure are +best fitted for the determination of magnitude. + +We may now quote, without further remark, the final formula to +which Dr.\ \textsc{Charlier} is led, which gives the relation between $m$ +(star's magnitude), $d$ (diameter of star-image on plate), and $t$ (exposure +time). It is +\[ +\tag{6} m = A + B \log d + C \log t +\] +In the particular plates in question the constants $A$, $B$ and $C$ are +\[ +A=+17.2\quad B=-6.75\quad C=+1.69 +\] +$A$, $B$ and $C$ are proved to be constant on the four plates in question; +$t$ is expressed in minutes. + +From the formula (6) the photographic magnitudes of fifty-two of +%-----File: 116.png----- +the brighter stars in the \textit{Pleiades} were computed, and compared +with the photometric magnitudes of the same stars as determined +by Dr.\ \textsc{Lindemann}, at Pulkowa. (Table III.) + +The mean difference between the photographic and photometric +magnitudes is $\pm 0.22$ mag. The differences occur $0.6$ mag.\ (twice), +$0.5$ (twice), $0.4$ (4 times), $0.3$ (12 times), $0.2$ (12 times), $0.1$ (10 +times), $0.0$ (7 times). Two stars are either variable or red. The +individual results for the photographic magnitudes from the four +plates agree well. The mean difference is $0.10$ mag. The largest +difference is $0.4$ (occurring twice). % Transcriber's note: original reads "occuring" + +Dr.\ \textsc{Charlier} makes the important remark that the red stars, +etc., which are thus discovered in the group of the \textit{Pleiades}, are very +suitable for a determination of its parallax, since they differ in spectral +type, and are therefore \emph{presumably} not members of the group. +A few moments' examination with a small spectroscope will, however, +be a surer indication in similar cases. + +\smallskip +Section III of the memoir is devoted to a comparison of the +results of the Stockholm photographs with those obtained by Professor +\textsc{Pickering}, at Harvard College, and by Dr.\ \textsc{Scheiner}, at +Potsdam. The linear formula deduced by the latter is shown to be +inferior to the logarithmic form adopted by Dr.\ \textsc{Charlier}; and +in Table IX it is shown that the systematic differences between the +results at Harvard College and at Stockholm are likely to be due to +constant errors in the H.~C.~O. results. In all this discussion, as has +been said, the effect of atmospheric absorption is omitted, as it has +been in all previous publications of the kind. It is of considerable +amount, however. + +\smallskip +Section IV of the memoir is chiefly concerned with a comparison +between the photometric magnitudes given by \textsc{Wolf}, of Paris, for +571 of the \textit{Pleiades} stars and the photographic magnitudes of the +same stars derived from one plate (only) taken at Stockholm. +Twenty-eight of \textsc{Wolf's} stars do not appear on this plate; \textit{en +revanche}, it contains more than 100 stars not in \textsc{Wolf's} catalogue. +In passing, we may remark that the single Stockholm plate made +in three hours has a value at least comparable with the chart of +M.\ \textsc{Wolf}, which was the result of many months of labor. It is +worth while to remark here that it is highly desirable for the present +to make every result derived by photography depend on two negatives +at the very least. A comparison of the scales of \textsc{Wolf} and +\textsc{Charlier} closes this section and concludes the important work. +%-----File: 117.png----- + +\smallskip +We may now say that the present memoir and that of Professor +\textsc{Schaeberle}, previously cited, have fixed the form under which +discussions of this character must be made in future. For every +telescope a relation between the diameter of a star image and the +corresponding exposure must be deduced in the form $d = \varPhi (\log t)$. + +The constants of this formula will vary with the aperture, focus, +plate, site, and with the spectral type of the star, and will probably +be applicable only within certain limits of absolute brightness and +within certain limits of exposure time. + +The memoir of M. \textsc{Charlier} is an excellent example of the +method of discussion which must be adopted to determine this +function for all cases where the prime object is to make the photographic +magnitudes harmonize as nearly as possible with the photometric. +The real fundamental question is, however, Should any +endeavor be made to harmonize them? I proceed to discuss this +point as briefly as possible, in the light of our present knowledge, +since it is the most important question remaining open for settlement. + +\nbsubsubsectionheading{\textit{Establishment of the Present System of Visual Magnitudes.}} + +Let us consider, very briefly, the history of the introduction of the +present system of visual magnitudes. The main epochs in this history +are very few. The first is that of \textsc{Ptolemy} (\textsc{a.~d.}\ 150,) who arbitrarily +assumed the brightest stars to be of the \textit{first}, the faintest which he +could see, to be of the \textit{sixth} magnitude. The other stars were divided +into classes of 2d, 3d, 4th, 5th, etc., magnitudes. The second great +event in this history is the publication of the \textit{Uranometria Nova} by +\textsc{Argelander}, in 1843. He adopted the general rules laid down by +\textsc{Ptolemy}, and followed by \textsc{Sufi}, \textsc{Tycho} and \textsc{Bayer}. The brightest +stars were called first magnitude, the faintest visible to the naked eye +were called sixth magnitude. Stars of the classes 2, 3, 4, 5, etc., were +intermediate. By \textsc{Fechner's} law, it necessarily followed that equal +differences of sensation corresponded to equal \emph{ratios} of light; or that +the light of a star of $m^\text{th}$ magnitude must be $\dfrac{1}{\delta}$th part of the light +of a star one magnitude brighter ($m-1$). Measures of this \emph{light-ratio} +$\delta$ show its numerical value to be 0.4 very nearly, omitting all +questions of small variations, etc. + +The \textit{Durchmusterungen} of \textsc{Argelander}, \textsc{Krueger}, \textsc{Schoenfeld} +and \textsc{Thome} will determine the visual magnitude of every star in both +hemispheres as bright as the tenth magnitude by this same scale. +That is, if the brightness of a star of the first magnitude is unity, the +brightness of a star of the $m^\text{th}$ magnitude is +%-----File: 118.png----- +\[ +H_{m} = (\delta)^{m-1} \quad \text{where } \delta = 0.4 \tag{7} +\] +The universal practice of modern observers has extended this scale +from the tenth down to the sixteenth or seventeenth magnitude (the +faintest stars now visible in the largest telescopes). Thus the \emph{accidental} +choice of the sixth magnitude as the limit of the naked-eye +stars by \textsc{Ptolemy} has fixed the light-ratio and the practice of all +astronomers with regard to visual magnitudes for all time to come. +It is to be noted that if \textsc{Ptolemy's} work on visual magnitudes were +to be done again \textit{de novo}, and absolutely independently, the method +chosen would be essentially the following: \emph{One} standard star would +be chosen (\textit{Polaris}, in our hemisphere). This star would be compared +with a selected group of stars, and the fact of the constancy (or +the law of the variation) of its light during the course of the observations +would be established. Every other star would be compared +with \textit{Polaris}, either directly or indirectly, and its relative light determined. +Some convenient magnitude would be \emph{arbitrarily} assigned +to \textit{Polaris}, and some convenient light-ratio would be \emph{arbitrarily} +assumed. The magnitude of any and every star would then be +deduced from the measured ratio of its brightness to that of \textit{Polaris} +by a formula like our (7) in which the numerical value of $\delta$ would be +assigned on grounds of convenience alone. It is very likely that the +value $\delta=0.4$ would be again chosen, because the tenth part of +a magnitude (easily written with one place of decimals), thus defined, +is about the limit of perception of the most highly trained +human eye. + +\smallskip +Such, I conceive, would be the process adopted if the whole +question of visual magnitudes was entirely open, and if a Congress of +Astronomers were called in 1890 to decide on the proper methods to +be followed in fixing the visual magnitudes of the stars anew, or for +the first time. The process is simple, it is complete, it is logical, it +is sufficiently accurate for all conceivable uses to which visual magnitudes +are to be put. The use of a visual magnitude assigned to a star +is chiefly to determine its brightness at one epoch, so that observations +at other epochs will determine whether there have or have not +been changes in its light. It is from celestial bodies which are subject +to change, and chiefly from these, that we can hope to learn anything +of the nature of celestial bodies in general. A secondary convenience +in having a magnitude assigned to a star is to aid in +identifying, classifying and describing it. +%-----File: 119.png----- + +\nbsubsubsectionheading{\textit{Establishment of a System for Determining Photographic Magnitudes.}} + +The International Congress of Astronomers will have to decide +the question as to how to define the photographic magnitude of a +star. They will soon be in possession of plates on which millions and +millions of stars have impressed themselves. The diameter of each +one of these stars can be measured. The photographic brightness +of each one of these stars relative to the photographic brightness of +\textit{Polaris} (for example) can be readily determined. What \emph{magnitude} +shall be assigned to each one of these stars? Dr.\ \textsc{Charlier's} +answer to this question has already been given. He would assign to +each one of a group of stars a photographic magnitude, deduced on +the principle that the mean deviation of their photographic magnitudes +from their visual magnitudes should be as small as possible. +If the same star occurs in two or more different groups, it will +certainly have different magnitudes assigned to it, according as one or +the other set of standards is employed. The same method has been +followed by Mr.\ \textsc{Espin} and by the Harvard College Observatory in +all of its many important publications on this question, notwithstanding +the fact that (owing to the color of a star) the photographic and +visual magnitudes not infrequently differ by at least \emph{two whole magnitudes.} +That is, if the visual brightness be expressed by 1.00, the +photographic brightness of the same star may be no more than 0.16, +or only one-sixth part. Such anomalies must in the nature of things +constantly appear for a considerable percentage of the stars. A +tolerable agreement is possible for perhaps eighty per cent.\ of the +larger stars, and even here there will be small persistent differences. +For those remaining, the disagreement will be more or less marked, +according as the spectral type of the star in question varies more or +less from the average type. The reason of this is well known. The +eye is sensitive to rays which fall between the \textsc{Fraunhofer} lines B +and G (approximately) of the solar spectrum. The maximum brilliancy +to the eye is somewhere near the line $b$. The photographic +plate is sensitive to rays falling between F and N of the solar spectrum +(approximately). The plates now in use are sensitive in the highest +degree to rays of about the wave length of the line G. + +Whenever we have a group of say five hundred stars, whose spectra +are nearly all of the same type (as the \textit{Pleiades}, for example,) we can +measure for each star the relative energy of the light in the portion of +its spectrum between B and G (by the eye), in that between F and +N (by the photographic plate), and, \emph{as the energy is distributed according +%-----File: 120.png----- +to the same law in the spectrum of each star of the group}, we can +determine constants of reduction which \emph{will} make the photographic +magnitudes of the various stars agree well with their visual magnitudes. +If, however, two hundred of the stars are very red, one hundred very +blue and two hundred of the ordinary type, it is, in the nature of +things, impossible to bring the photographic and the visual magnitudes +to a good agreement. The very red stars will always appear brighter +to the eye than they do on the plate, and the very blue stars will +always appear fainter to the eye than on the plate, and there is no +process of reduction which will smooth away a difference in their +magnitudes which is inherent in their nature. If there were such a +process, it would be most unwise to employ it. When I see that a +star is of the visual magnitude 1 and the photographic magnitude 2.5, +I at once learn something of the nature of this star's spectrum, and +so in like cases. + +\medskip +It therefore seems to be a rational and a useful plan to leave out all +consideration of the visual magnitudes of stars in determining their +photographic magnitudes. A simple and most satisfactory method of +procedure would be to assume \textit{Polaris} as the standard star of the +whole sky, and to fix its magnitude (when in the zenith of a station at +sea level) at 2.00, once for all; to select a set of secondary standards, +distributed round the equator, and to determine the brightness of each +one of these stars in terms of that of \textit{Polaris} (a proof of the constancy +of the light of \textit{Polaris} being thus attained). Important groups like +the \textit{Pleiades}, etc., would also have their brightness determined in +terms of that of the standard. The brightness of the principal Southern +stars should also be fixed in terms of \textit{Polaris} indirectly through +the \textit{Pleiades}, etc. A light-ratio should be selected on grounds of convenience +alone and the photographic magnitude of every star should +be determined by an equation like our equation (7) in terms of a +single standard star with a definite light ratio. + +If this programme were to be followed, we should simply have to +add to our star-catalogues another column headed ``Photographic +Magnitude,'' which would immediately follow the column ``Visual +Magnitude.'' The agreement or disagreement of the two numbers +would tell us something of the nature of the spectrum of each star. +In order to have the work exact, it would be necessary that all the +stars should be photographed on one kind of plates, as is now done by +the Harvard College Observatory, and as will be done by the +International Photographic Congress. The photographic Southern +%-----File: 121.png----- +\textit{Durchmusterung} might for convenience have its magnitudes expressed +in visual units, though the DM of the Cordoba Observatory will make +this unnecessary, and will, in fact, make it distinctly to the advantage +of science if the photographic DM is made \emph{entirely} photographic. +The International map of two million stars to the eleventh magnitude +should, in my judgment, give photographic magnitudes \emph{alone}. I can +conceive of no advantage to be gained by determining the approximate +visual magnitude of these millions of stars at all comparable +with the labor involved. In any event, it would seem that the +photographic magnitudes should be given whether the visual magnitudes +are or are not. + +\medskip +Such, it appears to me, are the general principles which should +govern in the determination of star magnitudes by photography. +I have set them forth because no amount of discussion at this stage +can be called superfluous. After the International Congress has +once settled its methods of procedure, it will be the duty of all +co-operating observatories to conform to the spirit and to the letter of +the methods finally adopted. As long as they are not yet adopted +any suggestions, however simple, cannot fail to be of use. + +\medskip +The Lick Observatory is endeavoring to make a modest contribution +to the general subject of which we have spoken. Professor +\textsc{Schaeberle} has made observations at Mount Hamilton (4209 feet +above sea), and will make observations at Cayenne, South America, +(nearly at sea-level), to determine the photographic atmospheric +absorption at zenith distances between 0° and 70° or 75°. He has +already compared the \textit{Pleiades} and other stars with \textit{Polaris}, and will +compare the principal Southern stars with the \textit{Pleiades}, etc. In this +way, his observations, if successful, will enable us to transfer the +standards of the Northern Hemisphere into the Southern. + +The immense work now in progress in both hemispheres under +the auspices of the Harvard College Observatory will afford material +for a thorough discussion of the whole subject. The contributions +of Dr.\ \textsc{Charlier} and Professor \textsc{Schaeberle} have established the +final form under which special discussions of this kind must be made. +The only part of the subject remaining for settlement is that which +relates to the establishment of the fundamental principles on which the +final methods of reductions are to be based. I have endeavored, in +what precedes, to set forth what seems to me to be a satisfactory +system, at once simple and comprehensive.\pushright{E.~S.~H.} +%-----File: 122.png----- + +\nbsubsectionheading{Variations of the Surface of Mars.} +\addcontentsline{toc}{section}{Variations of the Surface of Mars [from a note by \textsc{M.~C. Flammarion}]} + +In the second volume (1888) of the \textit{Bulletin de la Société Astronomique +de France}, M. \textsc{Flammarion} has two long and studied articles +on the \emph{markings} of the planet \textit{Mars}. He is careful to present a great +number of \textit{fac-simile} drawings of the planet, which date from 1659 to +1888, so that the evidence which he has used is before the eyes of +the reader. After showing that drawings of \textit{Mars} may differ greatly +from each other on account of differences of eyes, methods, interpretation, +instruments, atmospheric influences both on \textit{Mars} and the +earth, and on variations of the inclination of the planet's axis, he goes +on to show that there still remain variations which are (probably) not +due to any of these causes, and which therefore are to be attributed +to real variations in the surface of the planet itself. + +Most of the paper is devoted to an examination of the evidence +of the drawings. (In this connection it is well to refer to a set of +articles by Professor \textsc{Schiaparelli}, in \textit{Himmel und Erde} for October, +November and December, 1888, where the same questions are treated +also in a masterly manner.) At the close of this examination +M. \textsc{Flammarion} feels authorized to draw the following conclusions +as established facts---leaving all speculation to one side: + +\begin{description} +\item[I.] ``There are permanent markings on the surface of \textit{Mars,} +which in all probability represent \textit{(`doivent représenter'}) seas, lakes, +regions of water of various kinds, etc. (It has long been known that +on this planet there are polar snows which melt in summer, clouds, +and the vapor of water shown by spectroscopic observations.) + +\item[II.] ``These markings are permanent; they are seen to-day in the +same regions where they were observed in the seventeenth and +eighteenth centuries. They are not atmospheric products, then, such +as are shown, for example, on \textit{Jupiter}. + +\item[III.] ``However, while they are permanent they are not invariable. +They change both in extent and in depth of tone, in different years +and without doubt during different seasons [seasons of \textit{Mars}]. + +\item[IV.] ``There are some regions which are specially variable. +These appear to hold a middle place between continents and seas, +and to be marshy lands, which are in turn elevated above and submerged +below a thin layer of water. + +\item[V.] ``The continents of \textit{Mars} appear to be flat; and subject to +inundations in nearly all their extent. + +\item[VI.] ``The northern hemisphere is more elevated than the +southern; the seas are chiefly in the southern hemisphere, and +they do not appear to be deep. +%-----File: 123.png----- + +\item[VII.] ``The evaporation on \textit{Mars} is, without doubt, rapid and +considerable. Millions of cubic yards of water pass readily from the +state of vapor to the state of liquid, and millions of acres pass from +the continental to the maritime aspect. + +\item[VIII.] ``Water is perhaps not the only agent concerned in these +changes. The general order of things is very different on \textit{Mars} and +on the earth.'' +\end{description} + +This is not the place to examine the conclusions critically. In a +general way, they all depend upon the assumption that the darker +markings on \textit{Mars} represent bodies of water. As this is quite +probable (though by no means proved as yet) the eight theorems +given above may serve as points of departure in the further working +out of this plausible hypothesis.\pushright{E.~S.~H.} + + +\nbsubsectionheading{Stability of the Great Equatorial.} +\addcontentsline{toc}{subsection}{\qquad Stability of the Great Equatorial} + +{\stretchyspace +Observations for the position of the great telescope have been +made by Messrs.\ \textsc{Schaeberle} and \textsc{Keeler}, as below: +\begin{tablesetup} +\begin{tabular}{l@{~}l@{~}l@{~}c@{~}l@{~}c@{~}l@{~}r@{~}c@{~}c} +1888,& July &27, & azimuth &= $+36''$; & level &=&$ 8''$&too & low.\\ +1889,& May &18, & `` &= ------ & `` &=&$36''$& `` & ``\\ + & Sept.&16, & `` &= $+83''$ & `` &=&$58''$& `` & `` +\end{tabular} +\end{tablesetup} + +}There appears to be a slight progressive change in level and +probably in azimuth. + + +\nbsubsectionheading{Mountain Observatories.} +\addcontentsline{toc}{subsection}{\qquad Mountain Observatories [from the \textit{Opticks} of Sir \textsc{Isaac Newton}]} + +Telescopes \ldots ``cannot be formed so as to take away +that confusion of rays which arises from the tremors of the atmosphere. +The only remedy is a most serene and quiet air, such as may perhaps +be found on the tops of the highest mountains above the grosser +clouds.''---Sir \textsc{Isaac Newton}, in his \textit{Opticks}, \textsc{a.~d.}\ 1730. % original has A.D. here; regularised to match usage on 117.png + +\nbsubsectionheading{Rainfall on Mount Hamilton.} +\addcontentsline{toc}{subsection}{\qquad Rainfall at Mount Hamilton} + +Meteorological observations have been kept at Mount Hamilton +since 1880. The following table of rainfall on the summit is the best +available summary. This rainfall is considerably more than that in +the Santa Clara Valley near San José (about 13.4 inches) and it is +probably considerably less than the fall in some of the cańons and +valleys immediately surrounding the mountain. The great variations +in the annual amount of rainfall are interesting from a meteorological +%-----File: 124.png----- +point of view, and decidedly inconvenient from a practical one, +especially as our reservoir capacity is not quite adequate.\pushright{E.~S.~H.} + +\begin{tablesetup} +\renewcommand{\tabcolsep}{4pt} +\begin{tabular}{l@{\,} *{9}{|r@{.}l} } +\multicolumn{19}{c}{\textit{ + Rainfall at Mount Hamilton in the Years 1880--89. }}\\[1ex] +\hline\hline +\multicolumn{1}{c|}{\footnotesize\textsc{Month.}\rule{0pt}{3ex}}& +\multicolumn{2}{c|}{\footnotesize 1880--81}& +\multicolumn{2}{c|}{\footnotesize 1881--82}& +\multicolumn{2}{c|}{\footnotesize 1882--83}& +\multicolumn{2}{c|}{\footnotesize 1883--84}& +\multicolumn{2}{c|}{\footnotesize 1884--85}& +\multicolumn{2}{c|}{\footnotesize 1885--86}& +\multicolumn{2}{c|}{\footnotesize 1886--87}& +\multicolumn{2}{c|}{\footnotesize 1887--88}& +\multicolumn{2}{c}{\footnotesize 1888--89}\\[1ex] +\hline + +& \multicolumn{2}{c|}{\footnotesize in.} +& \multicolumn{2}{c|}{\footnotesize in.} +& \multicolumn{2}{c|}{\footnotesize in.} +& \multicolumn{2}{c|}{\footnotesize in.} +& \multicolumn{2}{c|}{\footnotesize in.} +& \multicolumn{2}{c|}{\footnotesize in.} +& \multicolumn{2}{c|}{\footnotesize in.} +& \multicolumn{2}{c|}{\footnotesize in.} +& \multicolumn{2}{c}{\footnotesize in.}\\ + +July & 0&00& 0&00& 0&00& 0&00& 0&00&\ 0&00& 0&00& 0&04& 0&00\\[1ex] +August & 0&00& 0&00& 0&00& 0&00& 0&15& 0&00& 0&00& 0&00& 0&02\\[1ex] +September& 0&00& 0&10& 0&00& 0&65& 0&65& 0&15& 0&00& 0&33& 0&49\\[1ex] +October & 0&00& 0&33& 6&16& 2&15& 3&71& 0&05& 0&60& 0&09& 0&03\\[1ex] +November\tablenoteasterisk & 0&50& 0&91& 3&45& 1&48& 0&01& +\multicolumn{2}{c|}{------\ \ }& 2&82& 0&90& 3&27\\[1ex] +December & 9&68& 9&72& 1&93& 2&05&33&84& +\multicolumn{2}{c|}{------\ \ }& 2&34&11&25& 4&23\\[1ex] +January & 3&51& 3&55& 3&10& 5&60& 1&99& +\multicolumn{2}{c|}{------\ \ }& 2&83&10&04& 1&04\\[1ex] +February & 5&99& 2&90& 3&75&12&76& 0&57& 1&80& 7&80& 1&38& 1&42\\[1ex] +March & 1&13& 5&40& 8&66&16&35& 1&15& 5&77& 1&39& 3&40& 6&17\\[1ex] +April & 0&98& 4&70& 2&66&11&96& 2&08& 6&79& 5&75& 0&68& 1&92\\[1ex] +May & 0&09& 0&48& 7&55& 1&24& 0&16& 0&70& 0&25& 1&25& 3&21\\[1ex] +June & 0&33& 1&06& 0&00& 3&85& 0&36& 0&00& 0&30& 0&67& 0&00\\[1ex] +\hline +Sums\rule{0pt}{3ex} &22&21&29&15&37&26&58&09&44&67& +\multicolumn{2}{c|}{------\ \ }&24&08&30&03&21&80\\[1ex] +\hline +\multicolumn{19}{c}{\footnotesize +* November, 1880---One shower, amount assumed to be $0^\text{in}.50$. N.~B. December, 1884. } +\end{tabular} +\end{tablesetup} + +Mean annual rainfall (8 years), \textit{July to July}~=~33.41~in. + +\nbsubsectionheading{Great Telescope for Los Angeles.} +\addcontentsline{toc}{section}{Great Telescope for Los Angeles} + +Authentic information regarding the proposed forty-inch refractor +for Wilson's Peak is difficult to obtain. A newspaper report of an +interview with Mr.\ A.~G. \textsc{Clark} on September~28, recites that one of +the discs (now on exhibition at Paris) will probably arrive in Boston +in October. The other disc is not yet cast, and M. \textsc{Mantois} is, +apparently, not willing to undertake the work without a contract, +which is not yet executed. The Trustees of the Fund have, so it is +said, authorized Mr.\ \textsc{Clark} to pay \$10,000 for two satisfactory forty-inch +discs, which is not an unreasonable price by any means. +Mr.\ \textsc{Clark} offered to make the objective and the mounting for +\$100,000, during his visit to California in the winter of 1888--9. So +far as is now known, the fund available for the telescope does not yet +exceed \$150,000. Probably \$300,000 to \$400,000 would build and +equip the observatory.\pushright{E.~S.~H.} +%-----File: 125.png----- + +\nbsubsectionheading{Force of Gravity at Mt. Hamilton and San Francisco.} +\addcontentsline{toc}{subsection}{\qquad Force of Gravity at Mount Hamilton and San Francisco, as determined by \textsc{E.~D. Preston} of the U. S. Coast and Geodetic Survey} + +Mr.\ E.~D. \textsc{Preston} of the U.~S. Coast and Geodetic Survey has +published his report on gravity determinations in the Pacific Ocean +(\textit{Bulletin} No.~11, U.~S.~C. and G.~S., 1889). The force of gravity +at Washington being 1.000000, that at San Francisco (Professor +\textsc{Davidson's} Observatory) is 0.999854 and at the Lick Observatory +it is 0.999544. Determinations of \textit{g} at four stations in the Hawaiian +Islands and for a station at Caroline Island are also given.\pushright{E.~S.~H.} + + +\nbsubsectionheading{Lick Observatory Photographs of the Moon.} +\addcontentsline{toc}{subsection}{\qquad Lick Observatory Photographs of the Moon} + +\textit{Knowledge} for October~1, 1889, contains an article by the editor +(Mr.\ \textsc{Ranyard}), on the Moon as seen in the Lick Telescope. +Excellent reproductions of five silver prints made by the Direct +Photo-Engraving Company of London, accompany the article. +Mr.\ \textsc{Ranyard's} remarks upon the temperature of the moon and upon +the possibility of the existence of snow-fields on its surface, are well +worth close attention.\pushright{E.~S.~H.} + + +\nbsubsectionheading{American Eclipse Expedition to Africa (December~21, 1889).} +\addcontentsline{toc}{subsection}{\qquad American Eclipse Expedition to Africa (December~21, 1889)} + +The New York \textit{Sun}, for October~17, has an account of the sailing +of the U.\,S.\,S.\ \textit{Pensacola} with the American Eclipse Expedition +to Africa. The expedition is under Professor D.~P. \textsc{Todd}, of Amherst +College, as chief astronomer. His astronomical assistants are +Messrs.\ \textsc{Bigelow}, \textsc{Davis} and \textsc{Jacobi}. Mr.\ \textsc{Carbutt} goes as photographer, +with Mr.\ \textsc{Wright} as his assistant; Mr.\ E.~J. \textsc{Loomis} as +naturalist; Professor \textsc{Abbe} as meteorologist, with G.~E. \textsc{Van +Guysling} as assistant; Mr.\ \textsc{Preston} as the observer of magnetics +and for determinations of gravity; Mr.\ W.~H. \textsc{Brown} as osteologist +and naturalist, with his brother as assistant; Mr.\ \textsc{Orr} as ethnologist +and ornithologist; H. \textsc{Chatelaine} as interpreter; G.~T. \textsc{Flint} as +stenographer, and Dr.\ \textsc{Bartlett} as apothecary! Add to these +names that of Professor \textsc{Alex.\ Agassiz}, who may join the vessel at +Cape Town to engage in deep-sea dredging. This is carrying the +war into Africa, indeed. The newspaper account of the astronomical +outfit is somewhat meagre. It appears that the expedition is provided +with a photoheliograph, giving an image of the sun four inches +in diameter. With this the partial phases will be photographed on +\emph{ortho-chromatic} plates (No.\ 16) and the total phase on \emph{ortho-chromatic} +plates (No.\ 27). A large mirror, belonging to Professor \textsc{Langley}, +%-----File: 126.png----- +an equatorial belonging to the Harvard College Observatory, and +\emph{twenty} cameras are also provided for photography. + +It is to be hoped that the expedition will meet with fine weather, +in order to utilize its unusually large force of observers and instruments. +Sir \textsc{Isaac Newton} said at the death of his pupil \textsc{Cotes}, +``If \textsc{Cotes} had lived, we should have known something.'' If the +four minutes of totality are clear at St. Paul de Loanda % TN: original reads "Loando"; modified on frequency grounds + we shall certainly +learn something from these many skilled observers with their +large equipment. + +It now appears that with two expeditions in Africa, and with two +at least, in America, the observation of this eclipse is thoroughly well +provided for. It should be a source of gratification to Californians, +and especially to this Society, that the generosity of one of our members +has allowed the Lick Observatory to put a strong expedition in +the field.\pushright{E.~S.~H.}\\*[1ex] +{\small\indent October~26, 1889.} + +\nbsubsectionheading{Eclipse of \textit{Japetus}, the VIII Satellite of \textit{Saturn}, on +November~1, 1889.} +\addcontentsline{toc}{subsection}{\qquad Eclipse of \textit{Japetus}, the VIII satellite of \textit{Saturn}. By \textsc{E.~E. Barnard}} + +The eclipse of \textit{Japetus} was observed here on November~1 with +the twelve-inch equatorial. Only a part of this very rare phenomenon +was visible at this point, the interval between the rising of \textit{Saturn} +and daylight covering only a small portion of the time occupied by +the eclipse, or, rather, series of eclipses; for the satellite passed +through the shadow of the entire ring system as well as that of the +globe of \textit{Saturn}. The satellite would first pass into the outer edge +of the shadow of the ring, and would next appear in the sunlight, +shining through the \textsc{Cassini} division, being visible for probably +eighteen minutes. It would then pass into the shadow of the inner +bright ring; from this it would emerge in the semi-shadow of the +Crape Ring, from which it would pass into the sunlight again between +the shadow of the Crape Ring and that of the ball. It would next +enter the shadow of the ball, and, from this point on, a reversal of +all the first phenomena would happen. The entire series of eclipses +covered a period of approximately nineteen hours. That portion of +the eclipse which could be seen from the Lick Observatory was the +reappearance from the shadow of the globe and passage through the +semi-shadow of the Crape Ring into the shadow of the inner bright +ring. + +The important questions in connection with this phenomenon +%-----File: 127.png----- +were: Would the satellite become visible when it came to the projection +of the \textsc{Cassini} division? What would be the effect of the Crape +Ring upon the appearance of the satellite? + +The last question only could be answered from this point, as the +satellite would rise eclipsed in the shadow of the ball, and not reach +the second part of the \textsc{Cassini} division until long after sun-up. + +Carefully watching the point of reappearance of the satellite, it +was faintly caught at $14^\text{h}\ 38^\text{m}$ Mt.~H. m.~t. It reappeared quite close +to the satellites \textit{Tethys} and \textit{Enceladus}. It grew pretty rapidly brighter, +and attained its full brightness at about $14^\text{h}\ 50^\text{m}$. It was then about +0.1 magnitude less than \textit{Tethys}. The proximity to these two satellites +gave an excellent means of detecting changes in its brightness +by comparison with their light. Eighty such comparisons were made, +and from these I have constructed a curve, which very clearly shows +what effect the Crape Ring had upon the appearance of the satellite. +\textit{Japetus} required a little over ten minutes to become wholly free +from the shadow of the ball. After remaining at its full brightness +for fifteen minutes, it began very slowly to decrease in light; however, +changing less than 0.1 magnitude in forty minutes' time. At +$15^\text{h}\ 54^\text{m}$ the light began to decrease more rapidly, and in sixty-five +minutes it passed through 0.7 of a magnitude. It then approached +the shadow of the inner bright ring, and in fifteen minutes its light +diminished 0.66 of a magnitude, when it totally disappeared, at +$17^\text{h}\ 11^\text{m}\,{}^1\!/\!_2$. + +These observations show us that, after striking the sunlight shining +through between the ball and the rings, the satellite then passed into +the shadow of the Crape Ring, which sensibly affected its brightness. +Passing deeper into this \emph{shade}, the absorption of the sunlight became +more and more pronounced, until finally the satellite struck the +shadow of the inner bright ring, which it rapidly entered and within +which it disappeared. + +These observations, therefore, tell us that the Crape Ring is truly +transparent---the sunlight sifting through it; that the particles composing +the Crape Ring cut off an appreciable quantity of sunlight; +that these particles cluster more and more thickly---or, in other +words, the Crape Ring is denser as it approaches the bright rings. + +Observations made elsewhere will tell us whether the satellite was +seen when it entered the projection of the \textsc{Cassini} division. The +observations will be published in full in the \textit{Monthly Notices} of the +Royal Astronomical Society.\pushright{E.~E.~B.}\\*[1ex] +{\small\indent\textsc{Mt.~Hamilton}, Nov. 6th, 1889.} + +%-----File: 128.png----- +\addcontentsline{toc}{subsection}{\qquad Five full-page plates of drawings of \textit{Jupiter} to follow} +\begin{figure}[p] + \centering + \LARGE\textit{Plate I}\\[5mm] + \includegraphics{images/fig6.jpg}\\ + \raggedright \qquad \footnotesize E.E.B. Del\textsuperscript{\underline{t}}\\ + \centering\LARGE\textit{Jupiter.} +\end{figure} +\begin{figure}[p] + \centering + \LARGE\textit{Plate II}\\[5mm] + \includegraphics{images/fig7.jpg}\\ + \raggedright \qquad \footnotesize E.E.B. Del\textsuperscript{\underline{t}}\\ + \centering\LARGE\textit{Jupiter.} +\end{figure} +\begin{figure}[p] + \centering + \LARGE\textit{Plate III}\\[5mm] + \includegraphics{images/fig8.jpg}\\ + \raggedright \qquad \footnotesize E.E.B. Del\textsuperscript{\underline{t}}\\ + \centering\LARGE\textit{Jupiter.} +\end{figure} +\begin{figure}[p] + \centering + \LARGE\textit{Plate IV}\\[5mm] + \includegraphics{images/fig9.jpg}\\ + \raggedright \qquad \footnotesize E.E.B. Del\textsuperscript{\underline{t}}\\ + \centering\LARGE\textit{Jupiter.} +\end{figure} +\begin{figure}[p] + \centering + \LARGE\textit{Plate V}\\[5mm] + \includegraphics{images/fig10.jpg} +\end{figure} + +\nbsectionheading{\textsc{Parabolic Elements of Comet Swift (Nov.~16).}} +\addcontentsline{toc}{section}{Parabolic Elements of Comet Swift (Nov.~16). By \textsc{A.~O. Leuschner}} + +\nbsubsubsectionheading{\shortrule\\* +By \textsc{A.~O. Leuschner.}\\* +\shortrule} + +From the three successive observations at Lick Observatory, +November~20, 21, 22, which were kindly communicated to me by +Professor E.~E. \textsc{Barnard}, I have deduced the following parabolic +elements by \textsc{Oppolzer's} method: +\begin{tablesetup} +\renewcommand{\arraystretch}{1.3} +\begin{tabular}{r@{ }c@{ }lc} +T &$=$&\multicolumn{2}{@{}l}{1889, Dec.~11, 8493 G.~M.~T.}\\ +$\ascnode$ &$=$&$ 306°\ 25'$ +& \multirow{3}{*}{\centering \qquad O $-$ C + $\left\{ \begin{array}{l@{\ }c@{\ }l} + \text{d } \lambda, & \cos\beta & = +1'.2 \\ + \text{d }\beta & &= \pm 0.\,0 + \end{array} \right.$} +\\ +$\omega$ &$=$&$ 116°\ 24'$\\ +$i$ &$=$&$ 6°\ 47'$\\ +$\log q$ &$=$&$ 0.0633$\\ +\end{tabular} +\end{tablesetup} + +\filbreak +The small geocentric arc and the error of $1'.2$ remaining in $\lambda$ +render these elements extremely uncertain. The comet is very likely +periodic. + +\textsc{Berkeley, Cal}., November~27, 1889. + +\ThoughtBreakLong + +\nbsectionheading{\textsc{Minutes of the Meeting of the Board of Directors, Held +November~30, 1889, at 408 California Street, +San Francisco.}} +\addcontentsline{toc}{section}{Minutes of the Meeting of the Board of Directors, November~30, 1889} + +A quorum was present. + +The minutes of the last meeting were read and approved. + +Bills presented by the Secretary and Treasurer were approved. + +Miss C.~W. \textsc{Bruce}, of New York City, was duly elected a life member, +subject to the action of the Society. + +Adjourned. + +\bigskip +\nbsectionheading{\textsc{Minutes of the Meeting of the Astronomical Society Of +the Pacific, Held November~30, 1889 (by Invitation), +in the Rooms of the California Academy +of Sciences, San Francisco.}} +\addcontentsline{toc}{section}{Minutes of the Meeting of the Society held in San Francisco, November~30, 1889} + +\nbsubsubsectionheading{[\small \textsc{Prepared by the Secretaries for Publication}.]} + +Owing to the absence of the President, Vice-President \textsc{Pierson} took the +chair. + +The thanks of the Society were tendered to the California Academy of Sciences +for the use of their rooms. + +The minutes of the last meeting were read and approved. + +A list of gifts to the Society was read, and thanks were returned to the +donors. +%-----File: 129.png----- + +The following members were then elected; the names of +life-members, duly elected by the Board of Directors, being marked +with a star ($^*$): + +\begin{small} +\begin{longtable}[l]{@{}ll} +\textsc{Charles S. Aiken,} & Berkeley, Cal.\\ +\textsc{J.~H.~C. Bonté, D.~D.} & Berkeley, Cal.\\ +\textsc{Miss C.~W. Bruce,$^*$} & 39 East Twenty-third Street, N.~Y. City.\\ +\textsc{N.~E. Beckwith,} & Los Gatos, Cal.\\ +\textsc{J.~A. Brashear,} & Allegheny City, Penn.\\ +\textsc{Charles M. Bakewell,} & Berkeley, Cal.\\ +Miss \textsc{Agnes M. Clerke,} & 68 Redcliffe Square, London, England.\\ +Hon.~\textsc{Horace Davis,} & 1011 Bush Street, San Francisco, Cal.\\ +\textsc{A.~B. Depuy,} & 216 North Sixth Street, Camden, N.~J.\\ +\textsc{Warren B. Ewer,} & 220 Market Street, San Francisco, Cal.\\ +Mrs.~\textsc{Martha McC. Ewer,} & 220 Market Street, San Francisco, Cal.\\ +\textsc{John Gamble,} & Laurel Hall, San Mateo, Cal.\\ +\textsc{Henry Harrison,} & South Bergen, N.~J.\\ +\textsc{Charles F. Hart,} & N. Temescal, Alameda County, Cal.\\ +\textsc{O.~C. Hastings,} & Box 166, Victoria, B.~C.\\ +\textsc{John J. Herr,} & 438 California Street, San Francisco, Cal.\\ +\textsc{Whitney Herr,} & 438 California Street, San Francisco, Cal.\\ +\textsc{Frank Jaynes,} & W.~U. Telegraph Co., San Francisco, Cal.\\ +Rev.~\textsc{George W. James, F.~R.~A.~S.}, & Oleander, Fresno County, Cal.\\ +\textsc{Augustus F. Knudsen,} & Box 2139, Boston, Mass.\\ +Professor \textsc{Joseph Le Conte,} & Berkeley, Cal.\\ +Miss \textsc{Margaret Lepper,} & Box 490, Benecia, Cal.\\ +\textsc{Warren Olney,} & 481 Prospect Avenue, Oakland, Cal.\\ +\textsc{James N. Pemberton,} & Downey, Cal.\\ +\textsc{C.~D. Perrine,} & 211 Clay Street, San Francisco, Cal.\\ +\textsc{J.~E. Richards,} & Los Gatos, Cal.\\ +\textsc{F.~B. Rodolph,} & 969 Washington Street, Oakland, Cal.\\ +\textsc{Wm.~G. Raymond,} & Berkeley, Cal.\\ +Professor \textsc{J.~K. Rees,} & Observatory of Columbia College, New York City.\\ +\textsc{Wm.~F. Smith,} & 2515 Broadway Street, San Francisco, Cal.\\ +\textsc{Garrett P. Serviss} & 8 Middagh Street, Brooklyn, N.~Y.\\ +\textsc{J.~A. Sladky,} & Berkeley, Cal.\\ +\textsc{Irving M. Scott,} & 507 Harrison Street, San Francisco, Cal.\\ +\textsc{John H. Yoell,} & San José, Cal. +\end{longtable} +\end{small} + +\medskip +The Secretary's books show that the Society now consists of 156 active and +22 life members, or 178 in all. Mr.\ \textsc{Pierson} announced to the Society that +Hon.\ \textsc{Alexander Montgomery}, a member of the Society, offers the sum of +\$2500 to the Astronomical Society of the Pacific, for the purpose of establishing +a gold medal to be awarded annually to the writer of the best paper on the +subject of Astronomy presented to the Society during the year; the gift to be +without conditions, and the Society to have the privilege of using this gift for +other purposes. The Society accepted this generous gift by a rising vote. + +A paper ``On the Determination of the Relation between the Exposure Time +and the consequent Blackening of a Photographic Film'' was then read by Mr.\ \textsc{Leuschner}. +This was followed by a paper ``On Photographs of the Milky Way,'' +by Mr.\ \textsc{Barnard}. The latter paper was illustrated by lantern slides prepared by +Mr.\ \textsc{Barnard} from some of his own negatives. The other papers announced for +the evening were not read. + +The Society then adjourned to meet at its rooms, 408 California Street, on +January~25, 1890. +%-----File: 130.png----- + +\nbsectionheading{OFFICERS OF THE SOCIETY.} +\noindent +\begin{tabular*}{\textwidth}{@{\extracolsep{\fill}}lcr} +\textsc{Edward S. Holden} (Lick Observatory), +&& \textit{President}\\ +\textsc{Wm.~M. Pierson} (76 Nevada Block, S.~F.), +& \multirow{3}{1em}{\Bigg\}}&\\ +\textsc{W.~H. Lowden} (213 Sansome Street, S.~F.) +&& \textit{Vice-Presidents}\\ +\textsc{Frank Soulé} (Students' Observatory, Berkeley),&&\\ +\textsc{Chas. Burckhalter} (Chabot Observatory, Oakland), +&\multirow{2}{1em}{\Big\}} +&\multirow{2}{5em}{\textit{Secretaries}}\\ +\textsc{J.~M. Schaeberle} (Lick Observatory),&&\\ +\textsc{E.~J. Molera} (850 Van Ness Avenue, S.~F.), +&& \textit{Treasurer} +\end{tabular*} + +\compactlisttwo\stretchyspace +\item[] \textit{Board of Directors}---Messrs.\ \textsc{Alvord, Boericke, Burckhalter, Gibbs, +Grant, Holden, Lowden, Molera, Pierson, Schaeberle, Soulé}. +\item[] \textit{Finance Committee}---Messrs.\ \textsc{Gibbs, Pierson, Molera}. +\item[] \textit{Committee on Publication}---Messrs.\ \textsc{Dewey, Treat, Ziel}. +\item[] \textit{Committee on the Comet Medal}---Messrs.\ \textsc{Holden} (\textit{ex officio}), % original has ex-officio +\textsc{Schaeberle}, \textsc{Burckhalter}. +\end{list} + +\ThoughtBreak + +\nbsectionheading{NOTICE.} + +Members are requested to preserve the copies of the Publications of the +Society as sent to them. Once each year a title page and index of the preceding +numbers will also be sent to the members, who can then bind the numbers +together into a volume. + +It is intended that each member of the Society shall receive a copy of each +one of the Publications for the year in which he was elected to membership and +for all subsequent years. If there have been (unfortunately) any omissions in this +matter, it is requested that the Secretaries be at once notified, in order that the +missing numbers may be supplied. + +Complete volumes for past years (preceding the calendar year in which any +member was elected) will also be supplied to members, so far as the stock in hand +is sufficient, on the payment of one dollar to either of the Secretaries. + +The titles of papers for reading should be communicated to either of the +Secretaries as early as possible. + +Those members who propose to attend any or all of the meetings at Mount +Hamilton during the summer should communicate with ``The Secretary Astronomical +Society of the Pacific,'' at the rooms of the Society, 408 California Street, +San Francisco, in order that arrangements may be made for transportation, +lodging, etc. +\vfil +\[ + \includegraphics{images/fig4.jpg} +\] + +\backmatter +\pagestyle{licensing} + +\begin{verbatim} +End of the Project Gutenberg EBook of Publications of the Astronomical +Society of the Pacific, by Various + +*** END OF THIS PROJECT GUTENBERG EBOOK ASTRONOMICAL SOCIETY OF THE PACIFIC *** + +***** This file should be named 26147-pdf.pdf or 26147-pdf.zip ***** +This and all associated files of various formats will be found in: + http://www.gutenberg.org/2/6/1/4/26147/ + +Produced by Susan Skinner, Nigel Blower, Jonathan Niehof +and the Online Distributed Proofreading Team at +http://www.pgdp.net + + +Updated editions will replace the previous one--the old editions +will be renamed. + +Creating the works from public domain print editions means that no +one owns a United States copyright in these works, so the Foundation +(and you!) can copy and distribute it in the United States without +permission and without paying copyright royalties. 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Anyone seeking to utilize +this eBook outside of the United States should confirm copyright +status under the laws that apply to them. diff --git a/README.md b/README.md new file mode 100644 index 0000000..a140132 --- /dev/null +++ b/README.md @@ -0,0 +1,2 @@ +Project Gutenberg (https://www.gutenberg.org) public repository for +eBook #26147 (https://www.gutenberg.org/ebooks/26147) |
