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 ^199^ 
 
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DEPARTMENT OF THE INTERIOR 
 CANADA 
 
 Hon. W. J. nontt, Mmi,ler. W. W. ConT, C.M.O., Dev<a, MiniM^. 
 
 PUBLICATIONS 
 
 OF THB 
 
 Dominion Observatory 
 
 -TV<^ 
 
 
 
 OTTAWA 
 
 \V. F. Kino, C.M.G., LL.D., Director. 
 
 Vol. I, No. 9 
 
 Orbit of CT Geminorum 
 
 BT 
 
 VV. E. HARPER, M. A. 
 
 
 
 CAl 
 
 MT U03 
 POl-09 
 
 OTTAWA 
 
 (lOVBRNMENT PuiNTINl^ nuRBAC 
 1911 
 
pn, r POVYTrrHNlOUE BlBllOTHEQUB 
 
ECniE POLYTECHNIOUE BIBLIOlHtgUt 
 
 DKPART.MKNT OF TIIK IM ILRIOR 
 CANADA 
 
 Hon. U . J. liotui;, .MmuUt. W. \V. Cuur. C.MG., I'rpuly M,n,>ler. 
 
 I 
 
 n 
 V 
 > 
 
 PUBLICATIONS 
 
 ♦ 
 
 OF THE 
 
 Dominion Observatory 
 
 OTTAWA 
 
 \V. F. KiNT,, C.M.c;.. I.L.D., Director. 
 
 Vol. I, No. 9 
 
 Orbit of a Geminorum 
 
 \V. E. HARPER, M. A. 
 
 110177—1 
 
 O T T A W A 
 Government PyiiNTiNc, Bureau 
 
 1914 
 
OTJUIT OF (7 (illMINoIMM 
 
 HV W. v.. lIVlil'KI!. MA. 
 
 Tlii- Mar i(r = 7 h. :?7() m.. «=f2(t'' f)7', i)luitoKr!ipliic laauiiitudr •')■» 
 was aiiiiiiuiic-f(l* a- a >|)cctn)-.coi)ir l)iiiary !iy Hrcsc in l<)0;i. 'I'ln' lour 
 iiicasiiivs nivcii ahoiii cover tlic total range in its velocity. 
 
 Durinti 1007. tOlO and the jiresent year thiriy-eijiht s|H'ctro>irain> of 
 thi.-; ^lar have lieeii olitained. Xiinihers (L'S and ti.")t were made on Seed 
 27 plates M.-inii the ri.iversal Spectroscope, disper>i(in at lly IS-ii tenth- 
 metres per millimetre: numbers :\\S2 and :i2:i7 on SiKina plates with a 
 three-prism of the .same dispersion, while niunhers AlsW. S.iW and 15335 
 were made on Siy;ma |)lates with three-prism dispersion of ■_'()•■_' tenth- 
 metres per millimetre. The reinaiiiint; i)late> were made on Seed 27 
 emulsion with the singli'-iirism instrument having; a dispersion at the >ame 
 region of 33-4 tenth-metres i)er millimetre 
 
 The spectrum is of K-typc and siiould yield measurements with a 
 small probable error. The probable error of a plate of •217 km. per sic. 
 obtained from our .'ibservations is larger than one should e\pecl tor a star 
 of this type but there are many ways in which this may be accounted lor. 
 The \ise of the coarse grained plates when tliree-prism dispersion was used, 
 iiuide ni'cessary from the faintness of the star; the low dispersion for the 
 great majority of the spectrograms with consequent blending of the spectral 
 lines, and the fact that none of the plates, however poor, have been rejected 
 may be jiiven as ])ossible reasons for the large i)robable error of an 
 observation. Reese's comment upon the spectrum, in announcing it as a 
 binary was: " Numerous lines, hazy yet trustworthy." 
 
 •Lick Obsirvulury linllitin '2. 31. 19<«. 
 
 00177-2 
 
200 
 
 IMIll.K \IIONS i>K llli; Ii"MIM'iN iill~l.ll\ \ iDia. 
 
 All attempt was made to inra-uic tlic pl.-iti- uii fho sportro-ioiiiparainr 
 uhich in the case of -^tar-; liaviiiit inaii\ ~|i(ciral line-. i> la.-^tcr and iv-anlnl 
 ;i> iiKiiv Mitisfuctory lliaii i!i'' cMlinars nirilnMl. I Inwcvcr. tnini lack n\ 
 infi'iisity of the iicniitivcs and runMiiumt ditTii-fiH'-s oT ilic line-, ilif wriiiT 
 al.,,Md(inc.l llli- in ta\niii- »( ilir urdinaiv niciliiHl. Aliri' >r\iral plates 
 li:i,| l.nii ndiiir.l HI whirh all a\ailaMr lini- had lirni niraMiivd in iIk' 
 r.'uinn UM'd. \i/; li'Mn \JiilMl doun i., ML'.Vl, a laMr «a- cin-lniftrd nf 
 the n-idiial- <'l' lai'li linr linni llir nuan i:i\rn li\ llic plair, '1 lie (ilijccl 
 ,,f tl.i- ua- til driirninii' a wnikinu ua\rdrni;tli I'm- Iwn <ir tlinc lin<'S 
 uhirii ui-rc ainoii'j; ilir ln'-' iiua-iiralilr Imi wlm-c ua\ I'dcii;;! h wa- iinkndv.n. 
 'rill' wavc-k'n^th- dttcnniiird in tlii- wav witc: 
 
 ,\\ ii'U :.Mi 
 1 1:;!)-.')!? 
 
 X,,li,. ,,t' tlir i.llirr linr- at thi- lilnr t;a\c evidences nf a need (if revi-ioll. 
 Later, when all plate- had lieen ivduced. it was found that -everal wimld 
 \vA\r ni\en l.cttir ameenieni if a -li;iht clian^ie in wave-leiiiii h were adupted 
 hut fioin the thirte(ii plate- ii-ed in thi- ciiniiectidn this wa- not noticealile. 
 I'rnlialilv the dilTeieiit disiier-iiiii - lor the plate- masked the ^icneral trend 
 iif the re-idual-. A -election of thirteen line- of waveden^ilhs (iivcn below 
 was at.'eurdiiif;ly u-ed in the deleriniiiation of tlie velocities. 
 
 LINKS t -It) IN .T r,i:MINiii;iM 
 
 4:i71 703 
 ioV.I 7tki 
 4530 UG.') 
 
 4-i.ii ar^ 
 •i.v.'jVir) 
 
 1I!U .•.SI) 
 
 41.111 .'.IT 
 44(H'.i'.i7 
 
 t:;io il:il 
 4271 ^Ot) 
 
 The ob.scrvational (hita of tlie plate- and the measures arcordintr to the 
 above wavedeii^ths follow. The pha,-e- are reckoned from iieria-troii 
 
Kill I 
 
 a I KMIMIKtlM. 
 
 JU7 
 
 passajr,. J. I). _■, 115,824 019 usiiiK the perio<l l») f»0.") uhi.h m.iii.mI Id suit 
 all ohsorvutions Iwst. The ri'Mcluul^ in tht- la-t column arr st-alctl In.m tl.c 
 ciiur icpivMiiiiiit; 111.' liiK.I (UiiHhts, After this tublr arr Rivii the dftailed 
 ineasurr- ni' the piaic-^ 
 
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 i; 1 ■ ^ ; 
 
 .-.1'. :, i; 
 
 to :i 1 
 
 10 1 
 
 I'lj li 1 
 
 4.". 1 
 
 .■>s '.I 1 
 
 'JO 4s 
 
 'ji 1 
 
 -'JH 
 
 \,L \\i 
 
 llo7 
 
 V.l. \\1 
 
 ',i'.'7 1 
 
 Ml 1 11 
 1110. :, ; 
 
 v2 :. 1 
 
 1110 
 
 - 1 1 
 
 100 
 
 i; 
 
 101 
 
 s I 
 
 100 
 
 1 
 
 s7 
 
 ' 1 : 
 1 
 
 (10 ii:; 
 
 27 20 
 
 l."i 
 
 + 68-6 
 
 lo.v.-, 
 
 i 
 
 00 
 
 ; 
 
 102 :i 
 
 1 
 
 00 1 
 
 \ 
 
 i:il :. 
 
 1 
 
 lis 
 
 ; 
 
 lOsl 
 
 1 
 
 III:: 
 
 1 
 
 1(10 (1 
 
 1 
 
 101 II 
 
 1 
 
 100 1 
 
 1 
 
 112 
 
 1 
 
 r 10>; ().") 
 
 IS 
 
 ■2S 
 
 + 79-6 
 
(IHHIT (IF (T (.KMIMIIILM. 
 
 271 
 
 .M1;asI iU-.S iiF a (IKMINnUlM -i ..uUnufl. 
 
 (1 U 
 
 V.I. 
 
 u.': 
 
 4.')S6 
 
 4:i7i 
 
 4.>1',1 
 
 4.i:i.') 
 4n:il 
 
 t.VJJ 
 
 not 
 
 (1 :;il 
 
 Railial 
 Vi'liH'ity 
 
 71 s ; 
 
 lit 1 !■ 
 
 ivj r, I 
 
 -, r. I 
 
 Ul.i 
 
 not 
 
 
 .-.s ■ 1 1 
 
 i:;iii 
 
 
 ss . .-, ; 
 
 IJvJ 
 
 
 ti:t'.i ; 
 
 l->71 
 
 + 
 
 M 1 i 
 
 Wiichtra 
 
 
 
 Milan 
 
 
 + f,4r.« 
 
 \,, 
 
 
 - •JS-.-irt 
 
 Vj 
 
 
 - ■ L'li 
 
 Ciirv. 
 
 
 — JS 
 
 lllV. 
 
 Vcl 
 
 117:i 
 
 \-.l. 
 
 Wi 
 
 Vcl. 
 
 \\i 
 
 tt '. 1 
 
 11 o 1 
 
 ;ii:i 
 
 Ki:, 1 
 
 11 1 
 
 :;'.i I'l 1 
 
 ;;:, 4 1 
 lii'i 
 
 :'►',! -7 
 
 41fiJ 
 
 ■J!in7 
 
 rjo 
 
 .Vi 
 
 II 
 
 4^ 
 
 11 
 
 111 
 
 :i 
 
 ;is 
 
 ' 
 
 ;i!i 
 IJ 
 
 s 
 
 .Ml 
 
 t 
 
 II 
 
 til 
 
 M 
 
 .V.l 
 
 11 
 
 :)i 
 
 ..-, 
 
 + 4S Jil 
 - 'J'.i 1 1 
 
 l.-i-fi 
 
 lIHl 
 IIW 1 
 101 '.I 
 11.1 'I 
 KIT 'I 
 11«> s 
 
 11 \\ 
 
 ■ 1 
 
 Ids s 
 H.'l 
 llUO 
 
 -KHl W) 
 - ■-",»■ 41 
 
 lllii 
 114 7 
 M.-i 7 
 Ills. 1 
 
 mil 
 los.-, 
 nil 1 
 
 111'. 
 lis. 7 
 10.") -7 
 Ills 
 
 + 70- 
 
 li:i-7.' 
 
 - 20 -4;! 
 
 •is 
 
 83 S 
 
 41sii 
 
 Vol. 
 
 \Vi 
 
 410ii 
 
 Vcl. 
 
 \Vl. 
 
 iin 
 
 01! 4 
 UL s 
 111 .1 
 
 12S.S 
 1100 
 110 .-. 
 ills..-, 
 lis '.1 
 111 
 
 SO 6 
 
 04-2 1 
 
 00 • .i I 
 
 S.5 1 
 
 SS 1 
 
 llXiO 1 
 
 lOS S 1 
 IdS-.^, 
 
 in.-, 4 1 
 s:iO 1 
 0,i 7 
 01-4 
 
 1000 1 
 
 li:>.-, 1 
 
 + 
 
 10.5 7 i 
 
 111 + 
 
 
 + 07 :>,") 
 
 - 20-40 
 
 - ■2S 
 
 67 6 
 
n III. II 
 
 \iii)Ns OK riir. DdMiMiiN" nnsi:i!\ A riiKV. 
 
 Ml .\.~1 i;i> <il' a i:i;MlNI'l{rM -'■,)(i/miir./. 
 
 4.5Sf, 
 4.i71 
 
 4.-|35 
 
 ixn 
 
 4HI1 
 44:ill 
 Itl." 
 lint 
 t.-ltll 
 
 4271 
 
 Vrl 
 
 Wciiihtel 
 
 \ ; 
 
 Ciiiv, 
 
 lia.lKil 
 \'plority 
 
 V.-l 
 
 IJJl 
 
 IJ.N 
 
 \f\ 
 
 \\l 
 
 .-,1 II 
 l.ll s 
 lit) -2 
 IN 1 
 17-7 1 
 .v.) • .■) 1 
 
 i-i ( > ; 
 ,-.is 1 
 
 .■7 ■ X'. 
 
 ■jnii 
 ■ji I 
 
 4sn 5 
 
 .- ! I 1 
 
 .".7 1) i; 
 
 CM 1 
 
 .vj I) ; 
 
 4!i:i IS 
 
 17 7 n 
 
 I'l I 1 
 
 ■ '- ^ 1 
 
 .'.1 i; r, 
 
 .-,1 u 1 
 
 + 39-2 
 
 :!7 7 
 :it ." 
 
 IS,-) 
 
 37-7 
 
 41 -.i 
 
 • i'.i 7 
 
 + .-,() 7-' 
 
 - •.".»• 21 1 
 
 17 
 
 ■2s 
 
 210 
 
 20 11 
 
 \.l. 
 
 W I 
 
 
 ' IB t ; 
 
 
 liMI 1 
 
 
 :i:i 7 i 
 
 i 
 
 -,3-4 \ 
 
 ] 
 
 41 .', \ 
 
 1 
 
 :;s rt 1 
 
 -■ 
 
 \i:\ \ 
 
 
 T 11-7 i 
 
 + 30-44 
 - 2',) 03 
 
 'J-9 
 
 1217 
 
 Vrl 
 
 .M 1 I 
 
 :..! II 1 
 
 111 'I ;, 
 
 liii > ; 
 
 liii .; \ 
 
 ;. I s \ 
 
 l'.2 II 1 
 
 .-ill II 1 
 
 Ill-S 1 
 KMi \ 
 II) '.I 1 
 
 .-jSIl ! 
 
 2s 7 1 
 
 Vi-1. 
 
 71) 'I \ 
 
 i;4 .■ 1 
 
 ,V.I II 1", 
 
 .",7:i 1 
 
 71 1 
 tit 2 1 
 
 ■t- ,-)S.:j 
 
 1 
 !■ 1 
 
 >> ! 
 
 1 1 
 1 
 
 ii \ 
 
 ■1 i 
 
 + 2o 3 
 
 4- lid- II) 
 
 - 2s 1)1 
 
 U) 
 
 ■ 2S 
 
 + 31 1 
 
 .M 
 21 
 
 + 41) S 
 
IIHIU I I'K a (.i;MIMlurN!. 
 
 Ml,A>ri!l,S 111 a (.I..MlNii|;l M („iichi,h,l. 
 
 ■u:;ii 
 1 1 1 "i 
 IIIM 
 l:;lii 
 
 1J71 
 
 I.'-, 1 I l-'Mi 
 
 \ . 1 W 1 
 
 
 
 4.isri 
 
 
 H.-.Tl 
 
 Ills 7 
 
 4. MO 
 
 7s s 
 
 4:i:):) 
 
 sti J 
 
 t:.;u 
 
 ', ' ! -7 
 
 4.VJ.! 
 
 ini 1 
 
 II'M 
 
 
 101 • 1 
 
 111.' 7 
 
 \l 
 
 Ciiiv, 
 
 H:ull:il 
 
 VcloQllV 
 
 V. I W I 
 
 . Ill 
 
 I'.i 
 
 ■2S 
 
 Ijs.: 
 
 \V1 \\i 
 
 m 
 
 1 1 11 , 
 
 ■1 
 
 i 
 
 Ills 
 
 II ; 
 
 1111 
 
 1 
 
 \ 
 
 '".I 
 
 ': 
 
 2 
 
 \ , 1 \\ I \ . 1 w 
 
 im 1 1 
 sj 1 1 
 
 Ssll 
 
 mil 
 
 HI.") s 1 
 
 ',t.')ii 1 
 
 .mm; 
 
 ',1.'. ti 1 
 
 •1! II 1 
 
 !l| 7 1 
 
 1 1 17 • -' ;. 
 
 nil :; 1 
 
 '11. ;. 1 ; 
 
 •IIH 1 
 
 ml 1 ; 
 
 - 1117 ',1 
 
 -nil 4(1 
 
 ::\ ■ 4 
 
 \vi w 1 
 
 \\i 
 
:7i 
 
 IM lU.H All'lN' III- im. II'IMI :i)N "ll>l.li\ \hii;v. 
 
 lor coiivcniciuT of ivlViviirc ihc l.irU (.l)M'rv:iliiui~ arc )i\\ru Iicit. 
 
 oi',.-i;k\ An 
 
 ,i\> III ,. i,i:Mi\iii;i \i \r ik'^ i in:-i:H\ M'lUiV, 
 
 Dalr. 
 
 IWJ Mr 111 
 in03J:.n IJ 
 
 r.i. 1.-, 
 
 JlliMii IVili 
 
 il.l'JT 7 
 r,.l-.N 7 
 |-.,li.l 7 
 
 Hi'swlii:il frniM 
 Vi'lix'ilv I iiiMw.i Ciirvi'. 
 
 IT 
 
 '.I ii 
 
 111 i\ 
 
 I I 
 
 + 7|. 
 
 •Th.- (IrciMKil nf a ilay is •i>-uiiii-il, 
 
 A -liulit iiirii-a~r u\ tin' \u'\uA willi tin- intriMiurtion I't' a rm-rcrtioii 
 f,,r ,u,-Ml.lr -y^rmatir iliftVnaici'^ in tin- inra-iiiv- wmilil rauM' ihc roiiluals 
 inuii Wir rlir\r In l.rrnmr vcrv lillirli Muallrr lillt lli( ilirrcasc iif pcrU,,] 
 ^^,,ul.! alTir! mil MTuml oli^crvaMm ii akin- llr n-iiluH. aiivaih- lai-c. 
 „,u,.l, .rratir. Ihuvr ilir ncii.i.l ilrci.lnl ui.nn, Unili:, ilav,-, \va^ an 
 ;ill('i!!|il III ri|Ua!izr llii'-r (li>cn'iiaiii'ir-- 
 
 Willi ilii- [icrinil ilir nl,-rr\ati(in^ w. 1-1' irnnipcil. arciu-ilini-: to plia.>(\ 
 into Mxt.Tii normal plarr^. ami wridit. a-i-nnl to tlir -roups which were 
 in -ciicral the -\nn-- of the wei-ht- ol' the inilix iiliial plates. 
 
 NnHM \!. I'lACl.S. 
 
 M„m !'lu,s,. M,:,n VoloritN W.mln n'' M.aii IMm- M- in Wlnniv Wrmh. 
 
 1 370 
 
 2 457 
 ;) 407 
 
 4 521 
 
 5 470 
 
 6 K44 
 
 7 o:w 
 
 S-711 
 
 + 79- 14 
 
 15 
 
 -1 
 
 - 15 
 
 
 
 10 3S1 
 
 7700 
 
 2 - 5 
 
 -1 
 
 -23 
 
 10 
 
 12 OfiH 
 
 73-70 
 
 2 
 
 - 
 
 ■75 
 
 11 
 
 13 037 
 
 1)7 'H) 
 
 15 
 
 ^2 
 
 ■10 
 
 12 
 
 ll-03i'i 
 
 55 77 
 
 1 5 
 
 _ 
 
 ■ m 
 
 !:> 
 
 Itiomi 
 
 43 07 
 
 t 
 
 -rl 
 
 34 
 
 11 
 
 ir. 735 
 
 30 ss 
 
 1 5 
 
 + 
 
 12 
 
 !■"> 
 
 is -370 
 
 +24 01 
 
 15 
 
 + 
 
 -02 
 
 Ill 
 
 1 ,505 
 
 o-c 
 
 + 13 01 
 
 2-5 
 
 12-71 
 
 2 II 
 
 21 70 
 
 1 5 
 
 20 01 
 
 15 
 
 37 .'lO 
 
 15 
 
 52-22 
 
 10 
 
 OS 35 
 
 2 
 
 + 77-00 
 
 15 
 
 — 
 
 61 
 
 - 
 
 05 
 
 +2 
 
 09 
 
 - 
 
 80 
 
 -4 
 
 10 
 
 + 2 
 
 49 
 
 + 1 
 
 51 
 
 + 2 12 
 
oUHir I IF a CKMIVDHI'M. 
 
 The ..l.srrvalion^ arc well rcptvscntnil l<v a Aw cMrvn; tli.< oofontririty 
 is so MiKiU lliat it caiuinl lie (litTcrciitialr.i In.m /en hy firaphiral methods, 
 Ih'ik'c the values of uj aiul V are iiidetenuiiKite in thi< way. 
 
 i^.,.o,n•-e was had to tlie method of least-<,|uare< f,)r fiii<liiii; the most 
 pn.l.al.le vahies of the elemelit.. Si.iee ll,e luimher of imkliowns remained 
 ,.„n>tan! it wa~ a-mned that the eleme.it> wliicli -ave the lea>l vahie for 
 I/,rr would l.e the mo-^t probable. Several m)1uI:ou.-- were made u.siuK the 
 followiiiji preliminary values: 
 
 p = 10 no.") days 
 
 r = (»■ 
 
 o; = 270", :V.W\ 3(10" 
 
 7" - .1. I). 2.n:).s20-7.")-' -loio 
 
 y = -\- 4.") -7.") km. 
 X = ;5;}-7") km. 
 
 • (ioli 
 
 r.sinsi the notation* of I.ehmann-Filhes and addinn a term with eoeflieient 
 unity for the velocity of the .^vstem. observation .Miuations were formed 
 for each of the.se three sets of preliminary values. A previous solution 
 witli a.' equal to i'.tO' had tiiven a negative value for the eeeontrieity .showins 
 tliat the major axis shouhl be rotated in tlie neighbourhood of !)0=. In 
 each solution 57' was considered =0 and s'lbstitutions were as follows: 
 
 J = 57 
 
 // - 5/v 
 
 z = /\' hr 
 
 u = A' • 5a' 
 
 *.\>trnn,iini?rli(' \:irhriililiTi :i.M2. 
 
27ti 
 
 ri'IU.Ii \'Iln\s UK 1111. liiiMiMiiN nlt^KliV A 1 uUV. 
 
 Wriglit 
 
 (>»Si;KV\'ri<>N LljlATIilNS liill .t i.lMl \'il;lM. ui -.'Til'. 
 
 1 
 
 •JO 
 
 1 tKK) 
 
 - '.ISO 
 
 -;);•» 
 
 -t 201 
 
 - (12-0 
 
 
 1 ". 
 
 I noo 
 
 - 7C.1 
 
 - OH- 
 
 ,- ti4H 
 
 -1 64 
 
 •i 
 
 1 .". 
 
 1 (100 
 
 - i:il 
 
 - -TS-J 
 
 -t '.101 
 
 + 1-49 
 
 4 
 
 1 .•. 
 
 1 Olio 
 
 - lOrt 
 
 - 211 
 
 .. !I'.I4 
 
 +4«7 
 
 5 
 
 10 
 
 1 (NK) 
 
 T r.'7 
 
 T- -2.12 
 
 -r illlJ 
 
 -2'18 
 
 H 
 
 '.'11 
 
 1 (KK) 
 
 -H (iOti 
 
 + Oftl 
 
 + 7'l.-> 
 
 -2l:i 
 
 - 
 
 1 .'l 
 
 1 (KIO 
 
 -r K-)0 
 
 + HOfi 
 
 -t- .•)2- 
 
 -3-27 
 
 H 
 
 1 .-. 
 
 1 000 
 
 -r mr 
 
 + KW 
 
 + 0H2 
 
 + -25 
 
 f| 
 
 
 1 (KIO 
 
 - (Ki.-p 
 
 - .Vll 
 
 - 2fil 
 
 ^ 43 
 
 1(1 
 
 ■J (1 
 
 1 (MKl 
 
 T M:'. 
 
 - '.107 
 
 - ran 
 
 + -49 
 
 11 
 
 1 .■. 
 
 1 (KKl 
 
 - lid.' 
 
 - .'.Hil 
 
 - 7>.l(l 
 
 -lS.i 
 
 I J 
 
 l". 
 
 I (KIO 
 
 -1- :w.-. 
 
 - ftll 
 
 - '.142 
 
 + 1-28 
 
 l:i 
 
 10 
 
 1 (KX) 
 
 - (V.tll 
 
 + 10fi 
 
 - 'I'.i.l 
 
 - fij 
 
 11 
 
 1 ,'. 
 
 1 (kMI 
 
 - l:t;; 
 
 + -7H1 
 
 -■'M)\ 
 
 + -25 
 
 !.•. 
 
 I-.-, 
 
 1 11(10 
 
 - (it.: 
 
 + wr, 
 
 - 7(i7 
 
 + 07 
 
 10 
 
 2-5 
 
 I (>00 
 
 - '.ii.i 
 
 + 02t; 
 
 - :i;)2 
 
 + •;«) 
 
 wlicncr flic iKinnal (M|iiation.~. 
 
 L'(i-,Miii.r - i-(;:!:!,v - lou: -o.").")// -2-i:in = o 
 
 llOdlv - istil- -'.Whi -()■ 1!)L> = I) 
 
 l:^.")7(l: -^•4(»7'/ -!)■ 007=0 
 
 12- \S(\ii -1- 145 = 
 
 Tlic .-oluTidn (if tlifx' !ia\(' as corrcciiniis. 
 
 5-,. =- .09 km. 
 &K = -r 56 km . 
 5f =- 022 
 5aj =-i- 0=-17 
 
 and a value "f liin for tin' normal iilacos of 70-5. 
 
nHUII UK (7 (,i;MI\nlil \l. 
 
 277 
 
 i>hsi:hv\ti(>n Kt^rvrinNs mu n (;iminii|(i\i, u -riiiii" 
 
 Wcinht 
 
 1 
 
 2 
 
 1 IHMI 
 
 - IIMJ 
 
 + ■910 
 
 + 
 
 201 
 
 - 02-^0 
 
 2 
 
 IS 
 
 1 INK) 
 
 - 7lil 
 
 + 100 
 
 ■*■ 
 
 IHs 
 
 -1 lil 
 
 3 
 
 1 .-. 
 
 1 (MKI 
 
 - 4:il 
 
 -02:! 
 
 + 
 
 901 
 
 + b49 
 
 4 
 
 1 .-) 
 
 1 LKK) 
 
 - Uk; 
 
 — ^177 
 
 + 
 
 994 
 
 + 4^67 
 
 r, 
 
 10 
 
 1 <MH) 
 
 + ■ 127 
 
 - -wtls 
 
 4- 
 
 '.K)2 
 
 -2 18 
 
 ti 
 
 2 1) 
 
 1 iHm 
 
 + 606 
 
 - ait 
 
 -^ 
 
 7',i'j 
 
 -2- 13 
 
 7 
 
 1 ■> 
 
 1 IKNI 
 
 + •850 
 
 + .44:; 
 
 
 527 
 
 -327 
 
 ,s 
 
 1 "i 
 
 1 -OIHI 
 
 + -9U7 
 
 + ■M^7 
 
 + 
 
 ().S2 
 
 + 25 
 
 It 
 
 ■J ." 
 
 1 (MHl 
 
 + •905 
 
 + ■ 1SO7 
 
 - 
 
 2f,l 
 
 + -43 
 
 Id 
 
 J II 
 
 1 IXHI 
 
 + ■843 
 
 + ■421 
 
 - 
 
 5.-t.s 
 
 + -49 
 
 11 
 
 i:. 
 
 1 mill 
 
 + ■602 
 
 - -270 
 
 - 
 
 79<.l 
 
 -185 
 
 12 
 
 1-5 1 
 
 1 UKI 
 
 + ■;):;:, 
 
 - ■7711 
 
 - 
 
 942 
 
 + 1-2.S 
 
 13 
 
 10 j 
 
 1 ixm 
 
 -■0<I<.1 
 
 - Whl 
 
 - 
 
 995 
 
 - 05 
 
 14 
 
 IS 
 
 1 IKKI 
 
 - 4:i:; 
 
 - ■02.-> 
 
 - 
 
 ".M)l 
 
 ♦- ''5 
 
 15 
 
 1 .-> 
 
 t IMHI 
 
 -■IHJ 
 
 - ■ 175 
 
 - 
 
 767 
 
 + 07 
 
 1(3 
 
 2.5 i 
 
 • 
 
 1 mKi 
 
 - 943 
 
 + •780 
 
 ~" 
 
 332 
 
 + 30 
 
 whence tin iiciniuil ei|uatioiis 
 20 r)()().r 
 
 i-(\:v.i!/ + i-.vis- -■'■jrh)!! -2-4.J0-0 
 
 14-(J04(/ + 1-171; -•51<)(/ -0-492=0 
 
 12-9302 -■9U0» -5-038 = 
 
 12-480« -1-145=0 
 
 The solution of these jiiive as coriectioiis, 
 
 67 = + -05 km. 
 5/v' = + -43 km. 
 &c = + -012 
 Su =+0°-24 
 
 and II value of Z/;;v for the normal places of 73-8. 
 
578 
 
 I'lUUi.uiu.Ns ui mi; dumimon iiii>i.itvAii>it\. 
 
 W.ililii 
 
 nU-<l,|;\ \r|(iN I All \rinN-. |iil! .r I ,1 M I M l|i I \1 , oj 
 
 1 .) 
 
 1 II 
 
 6 
 
 J u 
 
 7 
 
 l-.-) 
 
 8 
 
 IS 
 
 (1 
 
 2 :. 
 
 10 
 
 •JO 
 
 11 
 
 i:. 
 
 i:; 
 
 1 II 
 
 11 
 
 1 .". 
 
 If, 
 
 
 1 000 
 11)00 
 1000 
 I 000 
 
 I KKI 
 1 (JOO 
 I (XXJ 
 1 INIO 
 1 IKNI 
 1 IXJO 
 MIOII 
 1 (NNI 
 1 (Mki 
 1 IKH) 
 1 IKHI 
 I IHHI 
 
 -■9S0 
 
 - 701 
 
 - 431 
 
 - 100 
 
 - I.:; 
 
 -l-tjOO 
 + -SJO 
 
 + -m' 
 
 -.- • !H)."i 
 
 + Hi:( 
 
 + liOJ 
 + -3.i.') 
 
 - WM 
 
 -•4:t:{ 
 
 - 042 
 
 -ill.! 
 
 + •599 
 
 - 35") 
 
 - U3l 
 -952 
 -■712 
 + •253 
 + -Ki'> 
 + ■930 
 + 4!H) 
 
 - OM) 
 -■71'0 
 
 - ■'.IKS 
 
 - 751 
 
 - 151 
 + •340 
 + 98S 
 
 + 201 
 + 0^tS 
 + 901 
 + ■994 
 ^■9<.)2 
 + ■795 
 527 
 ■aH2 
 ■:'01 
 ■53H 
 ■799 
 912 
 995 
 ■901 
 ■707 
 ■3.12 
 
 + ■ 
 
 + ■ 
 
 - 
 
 02-0 
 
 -1 
 
 04 
 
 + 1 
 
 49 
 
 + 4 
 
 07 
 
 — ■J 
 
 IS 
 
 _ ■» 
 
 13 
 
 -3 
 
 27 
 
 + 
 
 ■25 
 
 + 
 
 ■43 
 
 + 
 
 ■49 
 
 -1 
 
 ■S5 
 
 + 1 
 
 ■28 
 
 - 
 
 ■0.5 
 
 + 
 
 ■25 
 
 + 
 
 ■07 
 
 + 
 
 ■30 
 
 wliciicc the noniial ('([iiatioiiH, 
 ■Jt ■.••")( HI.C 
 
 1-G;53(y + -791: -•'J.");/ -2- 150 = 
 
 .(•(lUlv - -(Mc --r)!'.))/ -»M'J2 = 
 
 12^ti:i7; -rMii -\)Am =0 
 
 12^4.stJ(( -114,') = 
 
 Tilt' .-olutioii of tlic-c travc as correct iuns, 
 
 57 = + •().") km. 
 SK = + '-Ui km 
 Se = + -022 
 5i^ =+o°-25 
 
 and a value of -inv for the normal places (jf 08-6. 
 
oliiu I III- rr i.i:\llMii(l M 
 
 279 
 
 •n„. Inlluui,,.. t.'.l.lr ^Im.u- )lir t..,il, iT^i.ll uf th, M.lutiu.i^, For :l 
 cirnihir oiliil 1/." 7'.i 1^ 
 
 Thr vahu- nl llir nth.T .■l..tn.'!ll ~ VUrird lull littlr in r:,<-l, M.lutinll. 
 
 I,> Munr „t tlir >olulic>u^ anl the ivMaual- a^ nhtaincl l,y r„.H|mtiim .li.v.-tl.s 
 
 !i,h1 l.y sut,-tilutinii n. inr .,hs.Mvation ciuatmns dilT.T .nmv than ii:. km. 
 
 Tlimi^ll, there i~ linlr I" ''Ih-o..^ l.rluecii the various eaM.. it wa^ derided 
 
 t„ accept that -ne fur whiel> u^ ua^ .Hiual tn liHO ' as a iMvlinniuiry vahie. 
 
 Tlie resuhin- valiM- ui tli.' elements uiih iheir innhal.le errors are 
 
 then as l'<ill()\vs: 
 
 1' =l',)(i().') days. 
 
 , = 1)22 - OlS 
 
 CO =:vMr i,v • r ():}' 
 
 A' =;M-21 km. r -.'iS km. 
 
 y =+ -loM) km. • • 12 km. 
 
 T -J. 1). 2,Ur),S2101'.) 
 
 ,1 =;i4-Stl km. 
 
 Ii =;<:{•.")(; km. 
 
 a sin ( =i),220,4(K) km. 
 
 Tlic onrve shown reiirosents these final vahies. 
 
 .\fter the determination of the orhit was ('(.mpleted it oeourred to tho 
 writer to te>' the elTeet on tlie orhital eU'ments of a ehan-e in the wav.- 
 
 hnntlis of the lines u.<e(l in ohtaiuintr the veloeilies. 
 
 It was nu'iuioned 
 
 that thirteen of the earlier plat.'s luul l.e.^n used to obtain wave-lengths 
 
I'lBI.K'ATIONH OK nil |iii\l|Mii\ ull-l.|;\ M i lU V. 
 
 toe llircc liner; wliirli ^miicil U> lir IiIiMiI~ nl t\\(i (If Ilinrc -ijiaiatf liiii-S 
 
 and \('t were atii()ii<; the hrst iiicasiiralilc. Tlw rniiic iliiii \ -ijt;lii iilatiw 
 Wen" iKiw citiisiilfrcil ami ihc aM'ianc n'sidiiai <il iiu'li liiir lioin ihr iman 
 of the plate \va^ lieteriiiiiied. 'I'lie three previoil-l) liieliliolieil ami Iwn ullui- 
 M.">;{1 'JliJ iii'l 'llitl HJT y;a\e liej;lij;il)le n-idiiaN; llie olliei--- air as 
 I'lilldw -: 
 
 \\';ivi-|ynglli 
 
 Hfitii'iml. 
 
 (VtrrcHponilinK 
 
 CorriTicil 
 \Vi4Vc-U'ii){th. 
 
 ir>.Sfl Ilhl 
 1571 7ii.( 
 4il'.l-7(jii 
 4535 ■ tHVi 
 4 5'.>-.> •>.■>.". 
 4415 L"!*:! 
 4:ilO Ii;t4 
 4.'7l 7liO 
 
 -4 IS km. 
 -2 4(1 km. 
 ► :t yl km. 
 h4 -J-J km. 
 -0 iW km. 
 t-4-74 km. 
 -4 77 km. 
 -■2m km. 
 
 + 064 
 + 037 
 
 - 05« 
 
 - (»4 
 + • Itt'i 
 -070 
 + 0B9 
 + 047 
 
 4:)Sti -^j? 
 
 4571 M()l) 
 
 45 111 707 
 
 4'iJ5 yoi 
 
 45.>L' '.K)l 
 
 4415 ■_•■.■.! 
 
 4:ilO 7U.t 
 
 4271 S07 
 
 Tlie tiece«ar\' chatmr^ lieiinr tiiadr. new \ cKiciiic- vcre (>i)taiiHd for 
 rarli plali'. tiie avrraui' nillmi'iial diflrivnre in the iT-ult-. nul e\ceedinj; 
 ((-.') km. It seemed almn^l useless \i< piiiMle llie .--llhjeel I'liitlier; neveltlieless 
 till' (ilser\al iiiii- Wile idinliiiieil inin liie ^aiiir j;r()iipiiiii aii'l a li a>l— (piares 
 
 -iilulioli |iellnrilird. 
 
 Wiiliiiul :^i\iii'^ llie (ili-er\ atioii anil mirnial ei|uaiiiins, as tlie results 
 
 x^eic niil U>ed, it will sullice Id ^lalr liie dilTeleliee^ lietwceli the newly 
 diii\(d elc'ineiil- and llm^e pii\iuu>ly arer|iled '\lieic the picliniinars' \al;ie 
 (il u; was :!;'>()'. 
 
 1 litTricncr- in -, = -Oti !^m 
 " /\ - (17 km. 
 " . - (JOU 
 
 Tliese ditTerences heins of m' infinitesimal order would seem to sliow 
 that the (|Uestioii of wave-leii-ith is nut a vital one. lielter agreeineiil 
 
Oliltl , iM (T GEVIXoniM. 
 
 281 
 
 uiiioiin I lie siirions lines will lir xcuiid li\ :iil(»|)tiiiu uii arbitrary set oi" 
 wavf-lciijjtiis liiit aiiv icsullinn clianiirs in ilic mtii will m miallv lie small. 
 
 'I'IiohrIi the rcHulfs ohtainrd from the rcvispil system of wave-lenRths 
 lin\c iiiit liccii made use of in this case tlic rxtra lalxmr i> not iirf( <>ari!y 
 valueless as the wave-lenjiths liere <leterinii:i d im- K-t\|)e -iar> will lie 
 useful for fuluie work. 
 
 1 'oiiiiiiinn < ijiservatory, 
 Ottawa. 
 
 June, mil 
 
 '>■'«-' 
 
 \'cl>>(*it\' ( 'iir\i' 'tf (T ( u-niinu