CIHM 
 
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 Collection de 
 
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 (l\/Ionographs) 
 
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 f\f\ 
 
Technical and Bibliograp, : Notes / Notes *.echnique3 et bibliographiques 
 
 The Institute has attempted to obtain the best original 
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 the images in the reproduction, or which may 
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 ch«'''.!<ed below. 
 
 D 
 
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 D 
 D 
 
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 Q 
 
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 Llrs:' ut a n-.'crofilme le meilleur exemplaire qu'il lui a 
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 lOx 
 
 
 
 
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 18x 
 
 
 
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 i 
 
 
 
 
 
 
 
 
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 12x 
 
 15x 
 
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 24x 
 
 28x 
 
 32x 
 
The copy filmed hera has been reproduced thanks 
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 Universite de Montreal, 
 Bibl iotheque 
 
 The images appearing here are the best quality 
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 Ecole polytechnique, 
 Universite de Montreal, 
 Bibl iotheque 
 
 Les images suivantes ont 6t6 reproduiies avec le 
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 Les exemplaires originaux dont la couvorture en 
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 empreinte. 
 
 Un des symboles suivants apparaitra sur la 
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 Les cartes, planches, tableaux, etc., peuvent etre 
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 Lorsque le document est trop grand pour etre 
 reproduit en un seul clich6. il est film§ & partir 
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 et de haut en bas, en prenant le nombre 
 d'images nicessaire. Les diagrammos suivants 
 illustrent la m^thode. 
 
 1 2 3 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
MICROCOPY RESOLUTION TEST CHART 
 
 ANSi iM.cI (SO Tt-^^' (.MARI Nc / 
 
 1.0 
 
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 12.0 
 
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 1-4 mil 1.6 
 
 A 'IPPLIEn IIVMGE 
 

 r^ 
 
 PUBLICATIONS 
 
 ov run 
 
 ^v^cP^^^vDOMINION OBSERVATORY 
 
 OTTAWA. CANADA 
 
 Vol. IV. No. 4 
 
 ORBIT OF THE .SPECTROSCOPIC HINARY t ARIETIS 
 
 15V UEYXOLU K. V()r.\(;, I'li D. 
 
 The binary charactpr of ^ Arietis (a = 2" 43-7. 6= +17^3'. mag. .5-30, tvpc Bo) 
 was announced by Adams in the Astro/jhysiral Journu', \„l 3,-.. p. 173. The"prescnt 
 orbit is based on fifty spectrograms scciireil (hiring the years 1014. IDl.J. 191G and 1917 
 The character of the .spectrum prevents accurate determination of the orbital elements 
 from any reasonable number of observations. The range is not verv large, the lines are 
 of poor quality, and measures of them subject to considerable uncertaintv! So that the 
 number of plates i.s inadequate to provide accurate values for the eccentricity and the 
 longnuue oi periastron. The wave-lengths of the lines used are given in Table I On 
 account of their poor character, they were not adjusted to make tlie sum of the residuals 
 zero. The material to do this, however, can be found in the t Me of measures. 
 
 
 
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ORBIT OF THK SPi.CTROSCOPIf 1)1 VARY IT AUIETI-S 
 
 77 
 
 MK,VSrRr„S (>V ir AKIKTIS— ro«/.Mi<</ 
 
 X 
 
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78 
 
 mHI-ICATIONS OF TUK DOM'.NIOX OBSKRVATOKY 
 
 MKASIRKS OK w WUKTIH—Condwlnl 
 
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OUIUT OF Till: SI'ECTROSCOl'K lilNAHY ;r AHir.TIS 
 
 79 
 
 T:'.i)li' II gives llie jouriuil uf observations. Tiiese were formed into tiiirteen noriiuil 
 
 l)laees. 
 
 MJKMAI- I'LACKS 
 
 v^ 
 
 Julian Uuy fnnu ,1. 1). , Velocilv , \\iij;ht l<'-<')i | (<)-('); \ ()-(' 
 
 I 2,420,370 ! ' i ■ ! Kinul 
 
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 121 
 
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 3 47 
 
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 0-<l 
 
 ►1-02 
 
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 -0-27 
 
 4 
 
 370 
 
 11 '.i.-,l 
 
 -ll-.",(l 
 
 O-.'i 
 
 + 0-2.-, 
 
 -1 (vl 
 
 - 1 - 59 
 
 5 
 
 371 
 
 1 .",1'.) 
 
 -11 .".II 
 
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 + 3-M) 
 
 +3 - 40 
 
 +3-74 
 
 G 
 
 371 
 
 itus 
 
 -lti-,")0 
 
 ii-ii 
 
 -3 yo 
 
 -3-8ti 
 
 -3-42 
 
 7 
 
 371 
 
 1 y.M) 
 
 - 420 
 
 'J 
 
 -1-42 
 
 -0-97 
 
 -0-3t) 
 
 8 
 
 372 
 
 2- 171 
 
 + 4 00 
 
 0-(i 
 
 +0-7,-> 
 
 + 1-04 
 
 + 1-5,5 
 
 9 
 
 372 
 
 2 052 
 
 + 17-20 
 
 O-'.t 
 
 + 1 34 
 
 + 0-(il 
 
 + 0-70 
 
 10 
 
 372 
 
 2 7<x; 
 
 +23 (.5 
 
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 +0-73 
 
 -0-.','t 
 
 -0-69 
 
 11 
 
 373 
 
 3 00>H 
 
 +28-70 
 
 12 
 
 +0-91 
 
 -0 .>! 
 
 -0-81 
 
 12 
 
 373 
 
 3-43t> 
 
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 13 
 
 373 
 
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 3.5 
 
 34 2 
 
 Preliminary elements were selected by trial and corrected by Ieast-.s(iuares. The 
 result of this solution is indicated in the residuals under headings (O-(')i and (O-C).. 
 The reduction in 'Epr is satisfactory, but on coini)uting the residuals from the observation 
 c(juations they were found to differ from those computed from the ephemcris. To show 
 the magnitude of the changes in the elements and indicate the degree of uncertainty 
 which attaches to them, the two sets are given below. 
 
 1st. 
 
 P -3-S.^4 days 
 
 T -.).]). 2,4'_>l),37U Tm 
 
 ( =010 
 
 w =105° 
 
 K =2") km. 
 
 y = +7-IJ,"} km. 
 
 2nd. 
 
 3 • S.->4 days 
 2,420,370 -37.-> 
 0-03() 
 89° 05 
 24 00 km. 
 + S-24 km. 
 
8(J 
 
 ■I HI.ICATIONS OF Tllf: DOMINION ODSF.RVATORY 
 
 The main cliaiip' i> in the oc(riitiicity, wliich was greatly ovor-fstiiiialfd in the 
 picHinliiarv .■Icinciils. In proctM-(hn|r t.. a srcoiul x.luli'm co was put at IH) degrees, and 
 a Muall rhange made in T to eorrespoiul. The eccentricity was made 0t)5. ami the solution 
 again carried thmugh. The normal e(iuations using Schlesinger's notation are: 
 
 10 -JOOi + SOS/c - IlM-Jtt + O-TO.')* - (Io-.'t = - loSG 
 
 -1- 4 SI i:U - 0-7747r + ()•-'!)<)* -t).71<J7= +1114 
 
 + 5 3377r + ()1S2« + 4 -7007 = + ():?o2 
 
 + i;i()0( + ()-2()i)T = + 0-425 
 
 + 4 -2807 = + 190 
 
 whence. 
 
 T 
 
 = - .-):)4 
 
 (IT = - 12.-) 
 
 ( 
 
 = +0-44 
 
 ,/,. = - .()0S 
 
 - 
 
 = + .')()37 
 
 r/co = - 11-7:} 
 
 ti 
 
 = +0174 
 
 dK = + 174 
 
 V 
 
 = + o-oo:? 
 
 dy = - I'J 
 
 anc 
 
 1 tlio final elements with tlie prohahle errors become 
 
 p = 3 . s,-)4 days 
 
 r = 0-042 ± 02.") 
 
 T = .1. 1). 2,420,:?70 2.J9 ± -:i.">l day 
 
 a, = 7H-27 ± 21=-!) 
 
 A' = 21 77 km. ± -70 km. 
 
 y = -1-7-81 km. 
 
 a sin / = 1,312.000 km. 
 
 OOOIQ 
 
 (ill + 1/1 
 
 The residuals trom these elements agree with the residuals from the observation 
 e(iuation> to the ncare-t tenth of a kilometre. Comparison with the residuals given by 
 the fir>t solution shows that little has iieen gained, and the ditTerences between the last 
 two sets of elements are less than the i)robable errors. 
 
 The residuals given by the individual plates are tabulated under the heading (0-C) 
 in the table of otwervation-. Tl ■ i)robabl(> error of a single observation is '.i 7 km. 
 
 Ddmiiiion ()i)servalor> 
 Ottawa 
 
 Mav. iMi7. 
 
OUniT OK THE SPKITUOSCOI'IC HINAUV TT AEtlKTlS 
 
 81 
 
 Km 
 
 f30 
 
 + lO 
 
 
 
 
 
 
 
 
 
 
 ^^^0 
 
 
 
 
 
 
 ■ \ 
 
 
 
 o\ 
 
 
 
 J 
 
 V 
 
 
 
 
 / 
 
 
 \ 
 
 
 
 / 
 
 
 
 \ 
 
 / 
 
 
 0/ 
 
 
 
 V 
 
 0/ 
 
 - — 
 
 Days 
 
 7 
 
 3 
 
 
 4 
 
 5 
 
 
 Radial Velocity Curve of ir Ariotis