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 PC 5 07- N 
 
 DEPARTMKNT OF THE INTKRJOR 
 CANADA 
 
 H..-. n' ,1. RcKiir, Umi../rr. W. W. CoKy. ( M.i:., llrji.:'!/ .\tini.<hi 
 
 PUBLICATIONS 
 
 1 
 
 Dominion Observatory 
 
 OTTAWA 
 
 \V. F. Kivii, f.M.t; . I.I, n., Director. 
 
 Vol. Ill, No. 7 
 
 Orbit of the Spectroscopic Binary 
 
 14 Aurigae 
 
 W. K. HARPER, MA. 
 
 1457—1 
 
 (1 r T A W A 
 
 (!o«--BRNMBNT PbINTINCI MoilF.Al 
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olMil'l' <)1 TIIK Sl'i:( irvOSCOF'IC IMXARY IJ MRU;.]' 
 
 B^ U . K, HAHPKH. M.A. 
 
 3 
 
 X 
 
 o nicasuros o 
 
 f tliis star 
 
 09" 
 
 '■i2° ;-io') hn\T licon previously 
 
 pulilislu'd. It was placed 
 
 m our |)ro}:raiiiiiie last Jaimarx' on the 
 
 suppestioii o 
 
 f I'rofessor I'rosi . dir 
 
 ('(■tor of the Verkes oliservatorx', \vh 
 
 noted It as " i)r(uial)ly a s))cctrosco|)ie hiiiary. 
 
 ■■liorth' afterwards lie 
 
 s(>iit us the \-elocities of iheir I'inc ])lates wliicli showed a raii};e of \ariatioii 
 of 10 kn>,, and its (lisc()\ery as a spectroscopic binary is therefore due to 
 the Verkt's ol)scr\ alorv. 
 
 The aiiproxiinafe |ieriod of the star had heen ol)tain(^d when the Yerkes' 
 
 rs (lavs. niodih(Mi to lv7S9 hv 
 
 lesults were recei\'e(l 
 
 his i)erio(l ol .^■ t 
 
 tiie ^'erkes' results and additional plates of our own, suits all the 
 
 oliservations exc(^])1 the first one laketi 
 
 al the 
 
 ^'erkes obser\atorv, 
 
 Professor |-'rost, with his usual kindness in such inatt(M's, has re-inensured 
 this ]ilate which he states to he of jrood (|Uality The mean of t.heir 
 two measures, which difTer xcry little, is still about io km. too ])()sitive for 
 
 our ciir\<' 
 
 AUowiiij; for a possible s>st.einatic ditTerence of '.] km. betwei 
 
 our ohserxaiions tliere is sttll a 
 
 residual of 10 km. Th 
 
 IS larger ttian is 
 
 th 
 
 natural to (-xjiect in a star of t.Npe A2. whose lines are much better than 
 the averatie. .\ value of the |Jeriod of :>-7NllS days suits the Yerkes' 
 results much b(>ttei'. but (jur own not so well, which are proliably best 
 
 si.tislied b\- a period of o 
 
 ,SS.) dav^ 
 
 I 
 
 therefore, a rouiideil olT 
 
 value o 
 
 f ;?-7S",l d: 
 
 i\s as a ('omi)romise between these two extremes 
 
 Then^ is !i Mis])icion. from the w;iy the observations firoup thems(d\es 
 in some of the periods tested, that the s|iectrutii of the coniiiotKMit star is 
 brifiht enough to influence the measures, causing the well known blend 
 effect. As the ranp' in the variation of the primary is barely over 40 
 
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 n 
 
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 \.i 
 
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 sj 
 
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 • Jl .".1. 
 
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 . 117 
 
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 _'S 
 
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228 
 
 ,.,H1,1.M1<.N> .>F THK IX-MINU.N . U.SKKV A TOK Y. 
 
 M, \-i i;is i>\ 11 \i i:i';i r„M/,„/../. 
 
 (•• 
 
 
 
 Vi-1 
 
 1,-,7J I'.f 
 l.'it't-T-liJ 
 
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 l.-,.'.l lii'.l 
 
 l.-.JJ "117 
 
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 229 
 
 
 
 
 m;hki.,~' (ih.-i:i!\ AiiiiN.- 01 11 
 
 .\l IMC. I'.. 
 
 
 
 
 
 
 
 Julian Datf 
 
 
 1 
 
 ! " 
 
 
 
 Date. 
 
 G.M.T 
 
 I'll;,,-.- 
 
 
 V.llM 
 
 1 
 
 c. 
 
 
 \>m 
 
 
 
 
 
 
 
 Ofl. J 
 
 
 
 1 J,4JO,013 >04 
 
 2-7-1 
 
 
 + 
 
 4-8; 
 
 + 12 S 
 
 
 1914 
 
 
 
 1 
 
 
 
 1 
 
 
 Fch -JO 
 
 
 
 
 lS4o07 
 
 3 25 
 
 + 
 
 10 
 
 + ;i 
 
 Mar l:i 
 
 
 
 
 JU5-542 
 
 1-49 
 
 _; 
 
 10 
 
 
 
 Mar. Iti 
 
 
 
 ••im.-.nii 
 
 7 
 
 
 
 s 
 
 
 + 2 
 + 3 
 
 Mur.23 . 
 
 
 
 
 2 15 005 
 
 !>■ 
 
 
 T 
 
 
 
 
 
 
 
 Oil. USA oH,--l.K\ AlIONS OF 14 AURIG.-E. 
 
 
 
 Plate. 
 
 llbsrrvrr * 
 
 
 1 );,!.■ 
 
 Julian l):ii.' 
 
 Pl.a- 
 
 \,-l.„ilv. 
 
 Wi'iiilit 
 
 o c. 
 
 
 
 
 
 ii.M.r 
 
 
 
 
 
 
 
 
 1915 
 
 
 
 
 
 
 6722 
 
 c p. 
 
 Jan. 
 
 20 ' ■.•,4.:o ."IS 7:(i) 
 
 I'.l 
 
 + Il 2 
 
 2-5 
 
 - 8 
 
 0798 
 
 11 
 
 tVb. 
 
 18 . .-,17 i,ir, 
 
 "J .'Iti 
 
 n 4 
 
 3 
 
 4 
 
 + 1 
 
 6808 
 
 • ' 
 
 F.-i. 
 
 1'' .Ms ii.'iV 
 
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 4 
 
 - 3 
 
 0829 
 
 11 
 
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 ;; 
 
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 «H37 
 
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 M.i 
 
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 o 
 
 1 
 
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 \| .1 
 
 M j*i8't)0S 
 
 SI 
 
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 3 
 
 8 
 
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 ■ ti.sti4 
 
 ^ 
 
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 11 I 571 tXH) 
 
 0-01 
 
 + 9 
 
 3 
 
 
 
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 OStiS 
 
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 1', ! 572 557 
 
 97 
 
 -19-7 
 
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 OS74 
 
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 17 
 
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 4 
 
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 3 
 
 2 
 
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 -32 7 
 
 3 
 
 
 
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 6803 
 
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 -"' 580610 
 
 3-60 
 
 + 13 
 
 •> 
 
 9 
 
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 6899 
 
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 1 
 
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 0912 
 
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 6924 
 
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 (K)J 592 
 
 0-09 
 
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 4 
 
 t 14 
 
 7192 
 
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 79 
 
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 61 
 
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 52 
 
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 2 
 
 3 
 
 4 
 
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 1 97 
 
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 P 
 
 l).r 
 
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 ;i iw 
 
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 # (' • diniii'n 
 
 ruikiii. I' 
 
 \ ounl. 
 
•_';;() 
 
 ITltl.UATlKNS ul- Till; DOMINION < >HSK.H\ A It >HV. 
 
 ( 
 
 : - 
 
 •n„, p,,....,linj; lal.l. ^ivrs ll,.' data of tlu' ..irasuivs. Thv phasrs a.r 
 ,,,...1 .,„ ,1,.. Iinal ..l.nu.U>. Th.. n.i.luals arr M'al..l iVo.n th- .au-v.. 
 ,,,|,,..Manin. .1-- Inud H.nua,,-. TIk' pn-hahl. .Tror nl' a plat, ol.auu.i 
 
 ,,,„„ ,,,.. laM uvu rnlunms is --.M. km. prr >- ul, uiad, is l.-wr tluu, 
 
 ,.,,..,■,...1 an.! Muitr .ali.la.Mury tor thr -iispriMun .■inploycd, 1 Ik' 
 
 ,,,..,valions w..,v «ronp..l ar.-onlin^ to pluisr into Pa, nonual l-laros as 
 „i,,,„ u. th.. a...nnpanvin, ..aM-, lli.' w.a^l>ts a>si,n...l v.wh Kn-.p tnanK 
 "p,,„xuna,..lv on..-,..n,l, .,f tl. m.,„ of ,h.. w..|,l.ts of th.. pla,.. .■outauu.d 
 ,|,..n.,n l'.vln,nna,v .■l.an,.n,> w.mv ..l.tain..! In tl... papln..,! uietlu-.l us 
 
 toU.tws:- 
 
 p == ;i 7.S9 .-lays 
 ,, = (1.-) 
 
 A' = J 17') km. 
 -^ = -li;ill km, 
 7' ^,11). j.pjd.MiJ tiCtO. 
 
 NiU:M \l. I'l \<i's 
 
 
 
 c::: 
 
 I... 
 
 2... 
 3 
 4 . 
 
 
 
 7... 
 8 
 9 
 lU 
 
 . (1 (■ .1 (■ i:i|ii!itK.n- 
 
 iM,.M fr..M, 1 ''■■;,':;,"" ,„ ,„,,„„„,,,, ,„K,1 i;ph,....,.r,^. 
 
 J IS'I 
 
 ■J 'lilll 
 
 .'Ml 
 
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 I'lT 
 
 771 
 1 Jil'.i 
 
 1 744 
 
 .: it:. 
 
 J 7.'.il 
 
 :! in J 
 
 .; 111'. 
 Ill 
 
 iij 
 
 71'i 
 
 1 l.-il 
 
 1 .,S'I 
 
 - 2<'i 7 ! 
 
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 7 
 
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 + 1 
 
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 + ..»■. 
 
 (1 1 
 
 +;i 11 
 
 t :s ■- 
 
 1 -1-5 
 
 -17 
 
 ! +1-0 
 
 + 10 
 
 1 +!■» 
 
 + 10 
 
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 -l-i 
 
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ORBIT flK I'HK srErrHOSCOPIC BINARY 14 AURIGA. 
 
 231 
 
 T'sinfi the (lifTcrcntisil fonmila of Lo1mifiTiii-Filh('s. -tvith an adtlitiunal 
 torni for 7, and making tlio substitutions, 
 
 y =5K 
 z =K.8c 
 It =I\..8oi 
 K 
 
 V = 
 
 {l-e"-)l 
 
 M'57' = [loo878]5r, 
 
 2 
 
 tho followins obsprvation equations resulted, the weight of each being given 
 in the normal places above. 
 
 OBSERVATION EQr.\TIONS FOR 14 AIRIG.C. 
 
 
 X 
 
 y 
 
 I 
 
 u 
 
 II 
 
 — n 
 
 1 
 
 1 (xm 
 
 - 714 
 
 f 121 
 
 + 63.1 
 
 - -.Wl 
 
 -0 1=0 
 
 ■1 
 
 1 IKMI 
 
 JM 
 
 
 :.7:t 
 
 + 9.W 
 
 - 891 
 
 -1) ti 
 
 ;< 
 
 1 (HKI 
 
 • ll.ll 
 
 _ 
 
 \ms 
 
 + -981 
 
 - (ISO 
 
 +:i 9 
 
 4 
 
 1 {HHI 
 
 7 .'.. ; 
 
 
 •JS4 
 
 + 
 
 «t7 
 
 - 71.-. 
 
 ! 1 ."i 
 
 r, 
 
 1 IKMI 
 
 + 1047 
 
 + 
 
 988 
 
 - 
 
 06.i 
 
 + (l.-.s 
 
 - 1 (1 
 
 
 1 000 
 
 I noo 
 
 1 <HIO 
 
 + Sfi! 
 + ■44.1 
 - (V24 
 
 + 
 -I 
 
 t)34 
 408 
 007 
 
 -1 
 
 5.V) 
 931 
 010 
 
 + my 
 
 + ■97ti 
 
 + 1 ni.'> 
 
 -19 
 
 
 +0-2 
 
 s 
 
 -0 8 
 
 It 
 
 1 (100 
 
 - .«.t8 
 
 - 
 
 •.•.w 
 
 - 
 
 721 
 
 + ■l'.73 
 
 -1 H 
 
 HI 
 
 MKX) 
 
 - »51 
 
 + 
 
 981 
 
 + 
 
 022 
 
 - I«-.' 
 
 o-o 
 
 
 
 
 
I- " . 
 
 232 
 
 IM IU.lr\ll(i\> OK :HK DIIMIMON ( iHSKH V Al i >in". 
 
 1 1 ■ TOUj- 
 
 
 NnliMAl, IX.ir Al'liiNS. 
 
 Ill: -1 IKll;/ +1 ■<inir -7-200 = 
 
 i.,-,i7- _ .(m:5„ + -owr +i'2():> = 
 
 59;^!)?/ r)-92()r +2:i.")0 = 
 
 
 From these e(lUatioll^^ re-iiltcd iho (■orrootioiis, 
 
 5-y = -f ■•"''' l^"'- 
 o/v = - HI km. 
 or =-017 
 0^ = + 1-70 
 57' .. + 0.V. (lay. 
 
 The tmal values of the elements 'Aith their probable errors are, then, 
 as follows; 
 
 p -=;5-7S'.) (lays 
 
 r =.031? t- 022 
 
 ^ =in"-7M . in-.70 
 
 A' -21 .")li km. ■ ■")0 km. 
 
 y ^ - 1().7( km. • :Vl km. 
 
 T -.1. n. 2 120 .SO'-' 7b") • 20t) (Ify 
 
 n sin / - 1,122,000 km. 
 
 The f^rapli repre-cnt 
 jiTouped. 
 
 . (he liiial elements witli the observations aP 
 
 il'*! 
 
 1 )iiininion ( )l)ser\ alory, 
 ( )tta\\a. 
 
 •binuarv , lOlli 
 
 ■•»,«•) 
 
ORBIT OK THK SPKC TROSfOPir BINARY 1 I ArRIC.F,. 
 
 233 
 
 
 
 
 
 
 
 
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 1 
 
 
 
 1 
 
 i 
 
 ! 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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 VO 
 
 
 
 
 
 
 
 
 
 
 
 
 
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 i 
 
 ^ 
 
 V~ 
 
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 ^ 
 
 
 
 
 
 
 
 t ' 
 
 J 
 
 
 
 
 
 
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 — 
 
 --- 
 
 
 
 
 
 
 
 
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 — 
 
 
 
 
 
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 — - 
 
 — 
 
 
 
 
 a 
 
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 ^_ — , - 
 
 
 
 
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 \ 
 
 \^ 
 
 
 
 
 
 
 
 
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 ^-© 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 1 
 
 1 
 
 1 
 
 
 
 
 
 
 
 1 
 I 
 
 
 Days 
 
 1 2 3 
 
 Radial \'rli'riiy Ciirvr o* H Aunntr.