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 Series 
 (Monographs) 
 
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 (monographies) 
 
 Canadian Institute f Dr Historical Microreproductions / Instltut canadien de microreproductions historiques 
 
 1999 
 
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DEPARTMENT OF THE INTERIOR 
 C.VNADA 
 
 Hos. W. J. RocHJ, Miniitr. W W. Coat. CMC, Drputy Minttfr 
 
 PUBLICATIONS 
 
 or TBS 
 
 Dominion Observatory 
 
 OTTAWA 
 
 W. r. Kino, CM.G., LL.D., Dir€etor. 
 
 Vol. n, No. 8 
 
 Orbit of the Spectroscopic Binary 
 1149 Groombridge 
 
 ST 
 
 W. E. HARPER, M.A. 
 
 D 
 
 CAl 
 
 MT 403 
 P02-08 
 
 OTTAWA 
 
 GorBBNMKKT Phintino Bubbau 
 1913 
 
eCCLE POlYTFrHNinUF BIB' lOTHFODE 
 
 f 
 
i-iuLt PQirJUHmv. 
 
 DKI'ARIMKM OF I III: IMKRIOR 
 CANADA 
 
 ""•■ " ' '!■■"• "'■"■'' « » '111 I M I. ,/<.,".'» l/i-i.'. 
 
 / 
 
 V 
 
 PUBLICATIONS 
 
 Dominion Observatory 
 
 OTTAWA 
 
 W. r. Kim,, C.MCi., 1,L,I)., Dirrdnr. 
 
 Vol. II, No. 8 
 
 Orbit of the Spectroscopic Binary 
 1149 Groombridge 
 
 BY 
 
 W. E. HARPER, M.A. 
 
 78251—1 
 
 O T T A W \ 
 
 (il)\KK.SMENT PuiNTIN(i HvHEAi: 
 1915 
 
oKiiir <>i Mil, -I'l,; I i;i»-( Mi'i( l■.l\\l;^ imm (,i!i'(i\ii!i;ii>(,i: 
 
 in w I r xui'KH, \t \. 
 
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 \cr> liKltii iall\ ill llif ;iii'Ul:ili liitilliiinat ii j11 d' llir prliml. 
 
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 L'l), nil I. .■iiid M:iitIi \i',. I'.iI.'). The -iimlr-pii~iii >pii'i mm .1 pli \\iili a 
 (li-pn-ii'ii >i( .'^2 \ A ai ,\ |.!_'.") wa- n-nl i linmiilioiii Tlic lApn^iiir limes 
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 lniinile-. Ill I'air -eeinv. VU'll llie >ee(| 27 plale> ll^ed, 711 Dlillliles iir <\eM 
 
 less slimilil lie --iltiieieiil lo i;,i\e a nil a-iiralile .-IH'ct rillll i<\ lliis slar U llicli 
 is rif I he A") l>p<'. 
 
 'I'lie peiiml ua> ili-r(i\ el'ei j I'luiii llie lir-| lialf i|(i/en measures taken in 
 cnnjiiiict inn Willi Ailaiiis' eail\ iiieasiires ami llie aim was kept in view to 
 olitain file eillAe willl the lea>t aliinlUit nf iihserv al iulial data cnmpatilile 
 with aci'iiracN'. i'lie ii:ap> in the iui\e were lilleii up rather siiiwly as 
 cloudy weatiier wa- u~uall\' the rule at the particular phase desire<l. There 
 arc three or I'our plates which haxc almormal re-idtials Imt further 
 ()l)ser\alions at the ^aiiie plia-e~ .-how that tlie\' arc purely accidental, as 
 the residuals ar( lioih posiii\e and neuaiixc, and as no \alid rea.-on can lie 
 given for rejcctirifi the plates tlic.\- ha\c all lieeii ret:!iiied. 
 
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)nBIT OK THK SPECTROSCOPIC BINARY 1U9 liROOMBRIDGE. 
 
 173 
 
 mi;a.siiu.s or um i;uo().muuiui-;k -cuiaiioini. 
 
 .i:.7j 
 i.'.i't 
 
 111.", 
 mil 
 l:!'.i:. 
 ■l:t.'i.' 
 
 run 
 t:tJ."i 
 i:;iis 
 
 IL",I I 
 IJ'JO 
 UTl 
 
 IJI.U 
 
 r.'.M) 
 t'jiiii 
 
 ■iJi:. 
 
 4 I'll J 
 
 11 'IS 
 
 II ):; 
 lliil 
 4(177 
 4117! 
 4iH'>:{ 
 4IM."i 
 
 41 hi:. 
 
 \\,iviii,a 
 
 llirall 
 
 V,, 
 
 \i 
 
 Ciliv. 
 
 liaillid 
 VrU.nlv 
 
 17 '. 
 t.ll II 
 
 i:; :< 
 I'.i :. 
 
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 .'.11 r. 
 
 v. in 1 
 t',1 1 1 
 
 .VI J 1 
 
 i:i 1 
 
 ,'i:ii'. 
 i:; s 
 
 I'.l N 
 
 ■ 111 
 
 V.-l W I 
 
 li'l V I 
 
 l.>. I I 
 lis:; ; 
 
 r,:is i 
 
 r.'i i; 1 
 
 71 7 1 
 
 .V,l II 1 
 
 III 1 '. 
 
 1.1 'I 1 
 
 71 II 1 
 
 \.i \\i 
 
 1). 
 
 1 
 
 III, I. 1 
 
 111 7 1 
 
 711 -■. ; 
 
 1.0 J 1 
 
 r.s'.i 1 
 
 117 o' 1 
 1.4 '.I 1 
 
 r.:. :. l 
 
 nrsi ij 
 
 r..") 2:t 
 ■Jl 12 
 
 (HI 
 
 ii.V7 I 
 
 u: 1 I 
 
 711 II 
 
 i;.". li 
 
 III .-. ] 
 
 i\:,-2^ 1 
 
 tisl' 1 
 
 71 11 1 
 iiL' :( I 
 
 ai-o 1 
 
 \.l \Vi 
 
 - s -j: 1 
 
 :i 11; 1 
 
 I i:t--'| ! 
 
 '.I '.I 
 1 1 
 
 s I. 1 
 
 \\i 
 
 -'It ', 
 
 - i; 1 i 
 -t 1-' 7 ! 
 t 17 ; 
 
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 - II II ; 
 
 - :i I) 1 
 
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 24 1-' 
 IJ 
 
 ■Js 
 
 ; I sj 
 .'II 
 
 Vcl 
 
 \Vl. 
 
17t 
 
 ITHI.K \ I lcl\s i>\- lin; DilMlMiiN l )H>KK\ \ l< ll{". . 
 
 Till' followiiiii t;il)I(' cdntaiii^ ;il! tlic dala nf tlic iiirasun'-.. Tlic |)Iki~cs 
 arc nikiiiinl t'nuii the pciia^i run liiiallv ailii|iii'il ii-^inn ilir |iriii)i| ',('.(11 
 (la\s whicii \\a^ ilclcniiiiiid limn a cuniiiaiiMin (il M t . \\ iImjii (ili--rr\ al inns 
 wiih (iiir (iwn. TIh it ~ii|iial-. < > < '. aiv -ralnl iVnni ilir rur\(' rcpn'scnliiii; 
 till' ail(i|iic(| clciiiiTii-.. 
 
 ■lAi'.l.i; Hi .M1.\>M[1,- 111 m-i i,l;(i(iMli[;|l)(i|^ 
 
 riiil. \.. lll)S.TViT 
 
 .Vll^ 
 
 1 .1 H IS 
 
 llllll) 
 i',ii;;l 
 r.iin 
 i,u:,i 
 iiimii 
 iHil.' 
 1.(72 
 
 I, IS.". 
 t,.".0'l 
 
 I,."..' I 
 r,,M7 
 i..".i.:i 
 
 r.i,:i.' 
 
 liti.'iS 
 
 1. 7111 
 
 t;7 "ti 
 
 ■i 
 
 .l;tn 
 
 ■»;; 
 
 li7)H 
 
 11 
 
 .l,,n 
 
 J7 
 
 ii7tp:; 
 
 1' 
 
 .l:ni 
 
 ,;o 
 
 lis.;.") 
 
 II 
 
 M ,1 
 
 1 
 
 r,s(.-. 
 
 ^ 
 
 \l;,l 
 
 7 
 
 I.SI7 
 
 II 
 
 \l ,v 
 
 N 
 
 lis is 
 
 H 
 
 Mil 
 
 ^ 
 
 U)>7J 
 
 V 
 
 i 
 
 10 
 
 
 •p 
 
 I'lahkfti . 
 
 
 ,lm 
 
 |l:ll.' 
 
 I ill 
 
 Vl'lll 
 
 \|.l,l 
 
 Vpnl 
 \,.,,l 
 \|.iil 
 
 M:.> 
 
 ((.■I 
 
 1 I. 1 
 
 N..V 
 
 |l,r 
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 |l<. 
 II. I 
 I),, 
 
 I'll.-, 
 
 .luliaii |):>li- l'li:i.'<i' l.ilM'-i Wi'IkIiI. 
 
 
 .' ijii isi r,'r.; 
 
 7 i.-'l 
 
 11 
 
 ■.'■ji; .'.'HI 
 
 ',1 7I-' 
 
 ■Jll 
 
 SA lij.i 
 
 ■J s.U 
 
 ■Jtt 
 
 •JHI'i IMMt 
 
 '.IS 17 
 
 Is 
 
 ■-•(.■i ilJs 
 
 S S\tJ 
 
 is 
 
 . , Ji.l .".7I> 
 
 4 '.Mr, 
 
 7 
 
 Iii7 '.117 
 
 ■J l:i.l 
 
 111 
 
 ■tils vJI 
 
 :i i:!7 
 
 It 
 
 no 'iH'i 
 
 ,". i:i2 
 
 I'.i 
 
 IJI, s.i'l 
 
 1 Iii7 
 
 11 
 
 ■CJ.s sl:i 
 
 :l 171 
 
 Jll 
 
 4:i',i ssj 
 
 1 Jiiii 
 
 Jl 
 
 47)4 ^7o 
 
 11 31.") 
 
 12 
 
 
 4(>0<)2li 
 
 .") 4.;j 
 
 10 
 
 
 
 473 r>7.") 
 
 S-'.'-.'7 
 
 IS 
 
 
 47S ',t4S 
 
 3 ■.•>■)« 
 
 20 
 
 ' 4s'J sss 
 
 7 l!lli 
 
 Hi 
 
 till) (is7 
 
 .". :;.".i 
 
 17 
 
 l'i7 71'. t 
 
 J Isl 
 
 17 
 
 .".(XI .s.V.i 
 
 1 ii:;.", 
 
 21 
 
 .MO 7-'.'i 
 
 .", ,",111 
 
 _>:. 
 
 ."i.'l 7i:; 
 
 li ,",7,". 
 
 Is 
 
 r.r, i7.'i 
 
 II ;iii:; 
 
 17 
 
 ."2s 7:i',i 
 
 ;i ti27 
 
 11 
 
 .".111 .".11 
 
 li lilHI 
 
 1.". 
 
 .",»..". r.j-"» 
 
 ',1 lisl 
 
 Ill 
 
 
 .".t;."t .".lis 
 
 II l.sll 
 
 21 
 
 Vii u-c;. 
 
 ( (unnon, 
 
 \ -Vnung. 
 
 7 
 
 i 
 
 n I 
 
 - 2 ." 
 
 III 
 
 
 Sll 1, 
 
 7 4 
 
 7 
 
 - 
 
 ii.'i s 
 
 -110 
 
 7-5 
 
 - 
 
 HI 
 
 - 70 
 
 8-5 
 
 - 
 
 30 8 
 
 + 8-8 
 
 i 4 
 
 + 
 
 31 
 
 - 5 
 
 i 3 
 
 + 
 
 37-3 
 
 - 3 6 
 
 1 ^ 
 
 - 
 
 50 1 
 
 + 2 8 
 
 1 U 
 
 - 
 
 10 2 
 
 - 3 4 
 
 : S 
 
 t- 
 
 53 a 
 
 + U-5 
 
 I) 
 
 - 
 
 78 1 
 
 + 2 
 
 111 
 
 t 
 
 
 t 14 
 
 .') 
 
 - 
 
 7.0 J 
 
 + 80 
 
 4 
 
 + 
 
 48 4 
 
 + 1-5 
 
 it 
 
 - 
 
 3 
 
 + 01 
 
 !• 
 
 - 
 
 7 1 
 
 - 9-8 
 
 S 
 
 + 
 
 n> '> 
 
 - 3-3 
 
 « 
 
 + 
 
 4'.t-8 
 
 + 3-4 
 
 « 
 
 - 
 
 31- 2 
 
 + 8-2 
 
 n 
 
 _ 
 
 08-7 
 
 + 1 It 
 
 12 
 
 f 
 
 4.". 2 
 
 — 2 .". 
 
 7 7) 
 
 T 
 
 ;i!s,7i 
 
 - 1 .-■ 
 
 i 8-."i 
 
 - 
 
 81 1 
 
 + 35 
 
 
 
 + 
 
 4-8 
 
 - 3 
 
 i 7 
 
 + 
 
 43 C 
 
 + 0-8 
 
 
 
 - 
 
 702 
 
 - 4-5 
 
 j «-r, 
 
 - 
 
 80-7 
 
 - 3 1,1 
 
 s 
 
 - 
 
 .80 
 
 - 14 
 
 (17. 
 
 — 
 
 28. G 
 
 + 7-4 
 
 1 lljrp^T, 
 
 
 
 
okhii ok iiik .-.I'KrTniiscdi'ii iiiwuv 1 1 I'.l i.midMiiKiix.i:. 
 
 I7d 
 
 MT. W11X).N OllSI.UVAlluNS 
 
 l)»tf 
 
 .lulr:lli I>:il<' 
 
 l'li:i>.' 
 
 Vi-ltirily 
 
 IW. 
 
 
 mil 
 
 
 
 
 
 
 1 >< 1 
 
 :;ii 
 
 ■J, ll'.I.IKt (l.'.tl 
 
 it r-'7 
 
 -.wH 
 
 
 
 \..\ 
 
 1 
 
 :ii:. '.ij:t 
 
 4 147 
 
 +■21-' 
 
 - OS 
 
 
 l),r 
 
 II 
 
 ;«;;•! (78 
 
 I 42(i 
 
 - 7.'i S 
 
 + 1 
 
 
 XllUMAl, I'LACl.; 
 
 
 Mean 
 riia* 
 
 Minn 
 
 
 
 
 Mi'»n 
 Phase 
 
 Mran 
 
 
 
 
 
 Vrl 
 
 Wntthl 
 
 ( >-('. 
 
 
 fn>iii 
 
 V.I. 
 
 W.-irIiI 
 
 (!-('. 
 
 
 1 lli:il V 
 
 
 
 
 
 I'iiml 7' 
 
 
 
 
 1 
 
 lUHl 
 
 -S,-,!l 
 
 ■il 
 
 - 1 
 
 7 
 
 fl(i<)2 
 
 +:tHis 
 
 (1 
 
 - :i 7 
 
 •> 
 
 1 -470 
 
 -7J 
 
 t) 
 
 + 4-2 
 
 s 
 
 7r).'>4 
 
 + 14 It 
 
 •■'■ 
 
 - ;) 
 
 ;i 
 
 •-• 4ti.') 
 
 -:w s 
 
 ■7 
 
 + 2-7 
 
 " 
 
 S -227 
 
 - '.t:i 
 
 :i 
 
 - OS 
 
 4 
 
 It :iU7 
 
 - S") 
 
 ■S 
 
 - (I 
 
 10 
 
 «S.V2 
 
 -2<l't 
 
 ■ it 
 
 4 ti-tf 
 
 r. 
 
 4 172 
 
 + ■-"1 7 
 
 i; 
 
 - 1 :> 
 
 1 11 
 
 '.t (574 
 
 -74 7 
 
 •9 
 
 - 5 1 
 
 ti 
 
 S-^Jtil 
 
 + 4S N 
 
 11 
 
 + 11 
 
 i 
 
 
 
 
 
 Our invii ohscrvations were iiroiiix'd on tlic basis of jtliasc into eleven 
 normal jtlaces as altove. ami. after a few trials, preliminary elements were 
 adiiitted as follows: 
 
 /' =9'.M4 (lays 
 
 ( =()7 
 
 a) = ItJO^ 
 
 K =tiS km. 
 
 7 = — 1;5-5;{ km. 
 
 T =J. 1). 2nu:542 
 
 using tlie.si' eleimnts anil makinj? tlie transformations, 
 .r = 5y 
 
 z =Kbc 
 a = Kbiti 
 r =|l(i;i()33j67' 
 
 we get the followiiif? observation eiiuations uecording to tlio differential 
 
 formula of Lelimann-Fillies: — 
 
ITti 
 
 I'l ni.K A I IONS iiF iiir ixiMiMiiN (in>i.; \ v iDiiv. 
 
 niisi i;\ \Tii i\ i.ir\riii\> II ii iii;niiMni;ii)c;i 
 
 ,s 
 !l 
 10 
 11 
 
 W.iuhi. 
 
 1 (MM) 
 
 • I (Nil 
 
 - 
 
 •'•Ml 
 
 - 
 
 1 tHHI 
 
 '._'_' 
 
 - 
 
 11.-. 
 
 + 
 
 1 iMH» 
 
 lj:i 
 
 i 
 
 m:is 
 
 + 
 
 1 IHHI 
 
 nsT 
 
 
 771 
 
 
 1 IHHI 
 
 Ml 
 
 
 III'. 
 
 
 1 INMI 
 
 'Htl 
 
 - 
 
 '.IVi 
 
 t- 
 
 1 1 tl M 1 
 
 V _' 'l 
 
 _ 
 
 ■H-M 
 
 - 
 
 1 <MNI 
 
 171 
 
 f 
 
 7(h2 
 
 - 
 
 1 IHHI 
 
 iir.'t 
 
 ft 
 
 Wii 
 
 - 
 
 1 INHI 
 
 .;i,{ 
 
 t- 
 
 •(•,.-,•.• 
 
 - 
 
 1 IHHt 
 
 s J ." 
 
 -- 
 
 . 4r,s 
 
 - 
 
 1)1)1 
 ■v.u 
 ••)l() 
 
 '11,1 
 
 77ii 
 
 47H 
 
 • )s«i7 
 -I OH 
 
 !)s."i 
 
 ■ ii7.') 
 
 r 
 
 07!) 
 
 - 
 
 .-jt>:i 
 
 _ 
 
 H.«l 
 
 _ 
 
 '.)■->■.• 
 
 
 7i):i 
 
 - 
 
 U'J! 
 
 t- 
 
 Ill 
 
 + 
 
 MS 
 
 + 1 
 
 Olll 
 
 + 1 
 
 Oil 
 
 + 
 
 7: is 
 
 + 
 
 
 
 1 
 
 - 
 
 4 
 
 2 
 
 - 
 
 •J 
 
 7 
 
 1 
 1 
 
 
 
 1 
 
 5 
 
 1 
 
 .t 
 
 1 
 
 1 
 
 1- 
 
 .; 
 
 
 
 s 
 
 - 
 
 u 
 
 '.» 
 
 + 
 
 :, 
 
 i 
 
 I'liilii llii-^r wiir iilitailird llir iicilliial ('illations: 
 
 ."idd.r - -.'iSj// - • \:i:i: r LM 1(/ 
 
 ;miiU'/ i ois: -f- ■:5(i2// 
 1- (),")(;.- 4 'AT ill 
 
 ■\77r \- 1 
 
 :;(t.s/' + 2 
 
 AT'tr — A 
 
 ■Am2r - \ 
 
 A'WSr f- 1 
 
 l'.l()--(l 
 .')77 = t) 
 iM = 
 »J(i -11 
 
 :)S7-u 
 
 \\lii<'li if-iilicil ill ilif ciiir't'ctidii^, 
 
 01 
 
 - -0 L'l km 
 
 ol< 
 
 ^ -OM 1.111 
 
 Ci 
 
 - ^^ -on 
 
 OcJ 
 
 - -7- 14 
 
 oV 
 
 -(I 2l'l (lav 
 
 It was fcarc(l that iiwiii;i td tiic >iiiall \aliic (if r and (■()ii-^('()iiciil 
 similaril y of colimiii-- lor h and i in ihc (iliMTxat ion (■(|iialions iliat citlur 
 uj or T would lia\c lo lie taken as tixcd. liiii -iicli was not the case and 
 one solution was .-ullicicnt , as the dilTcrcnci' iM'twccn the ri'sidiials olilaincd 
 !)>■ i-()ini)iitinj; dircclly and li>' siili>iit iitiiifi' in the oliscr\atioii (■(lUal ion- 
 were all less than (1-2 km. 'I'lic \altU' of 1'/"' ''"' ''"' noi'nial I'laccs was 
 M'diii'cd from SI ■() to 07 N. 
 
,l,„,l ,,1- lin: ■~rKITI!n>i nl'ir HI\Ain r IJ I.UOdMUUlUl.K. 177 
 
 Til." nii;il vmIii.'s ilicii (pf tlic clcnicin-^ uilli tli.ir pinl.;il,|c rii.n-. ;.iv 
 till' Inlliiw iiiy;; 
 
 /' =!)-<.UI .ln\> 
 
 * f =.()S\ ■tV27 
 
 a, - l.VJ '.» Jl ■-' 
 
 A' =()7- l'.> km. I I'.l 
 
 y -^ -i;;7i km. • I ;v.i 
 .1 (ij :■>.") km. 
 
 /; -.TL'-llli km 
 
 7' =.). I). Jll'.i:;!! 77ii ■ H (itil! 
 
 ,, >iii / -'.tl27()(ll) km. 
 
 'I'lic pidlialilr rrror »i a phitc i< -iw km. jxt m'c Tlii- i- mhiicw liat 
 larsicr llian mi};!!! l.r cNprclcd Inr a .Mar of llii.- type. If fmir plalc.< wlio-o 
 roiduals .^ccm al>iioniiallv larp' ai ^1 in .-(mic of \\n-v ihr cxposuiv was 
 Uiiiluly prolonged owin^ lo .■kuids ,,i. ,,inilt.Ml. llic prol-alilc error of a 
 l)hitL' liccoiiu'.s z.2\) km. per .sccoiul. 
 
 'I'hc accomi)anyirifi ijrapli rcpn-sciit< tin- liiial elements and tlie >iroui)ed 
 ol)>ervatioiis. 
 
 Doniinion < ll)>er\ atory, 
 ()t;a\va, 
 
 Mareli, 1".)1,-). 
 
ITS 
 
 I'l 111 H \ n"N- "I lllh 111 MINI UN "ll-l 1<\ \ II HIV 
 
 Vn.nrln Ci lUI. i.K llt'l CKn.iMliniOiiE.