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 I'l m.lCATlnNS ol ll!i: huMlMoN i i|is|;ii\ \1 ( MM 
 
 The writer Un- ln,;)iil llie Inllnw iiij; iiiethud of i^ettiiijr iirelimiiiarv eletiieiil> 
 verv satisfactory. Witli tne aid of a eom[)lete -et of •protractor-", which the 
 observatory p()ssess(>- for th<' simpUticatioii of Kiiin's graphical method. curve> were 
 drawn on trailing linen. rei)re-entin;i all orhits from eccentricity (tO to H-7 and 
 W:^()" to u^'M'AY. The inter\al for the ecceiil ricity is (l()."). >a\(' for the larjje 
 valiii's which are seldom used. The interxal for w i- lifleen denrees. It might 
 .<et>ni lalioiirious to draw all tlie-e ciM\es, hut one curve will do for four values of 
 w by iincrting the sheet or looking through the linen from the back, -o that the 
 labom- is not m) great a> it appeals at hr-t >ighl. The construction of a c()mi)lete 
 set of curves occupies about ten hours, if the protractors are already at hand. 
 The calculations need be made but once. In .-electing a set of elements, the 
 normal place> are plotted on the scale (.f ihe-e curves. This -upposes that we 
 know the amplitude of the curve. .Mthough thi- is \inknown, it is the mo-t ea.sily 
 deterniined of all the element- and can usually be selected with sufficient accuracy 
 at the lir-t trial. The cm-\ e- are now fitted in turn over the normal places till 
 
 the one mo-t satisf:ictory i- found. If tw • more cin'\cs -eeiti to give ecpially 
 
 good rei)resentation-, it i- quite po-sible to interpolate elements i)etween the graphs 
 l)lotted, and so obtain a result with the eccentricity within one or two hundredths 
 and o) within u few degrees. 
 
 In the pre-ent case a wide range of valui's of w will satisfy the normal places 
 about e(|ually well. These values center about oj-^i^^d and c=^() (I."). The 
 uncertainty in the \alue of w is partly dependent on the fact that the obser\ations 
 where the spectra are just .separating can not lie given much weight. In the 
 least-s(iuare solution, recorded below, tliey were omitted, and to make th(> solution 
 determinate periastron i)assage was fixed. 
 
 .NollM.Vl. l'i-.\( KS 
 
 
 
 
 l'h:l.st' fldlll 
 
 
 
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 -411 
 
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 + 2 (ill 
 
 f- 77 
 
 
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 1 971 
 
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 + ll.-i 
 
 
 5 
 
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 +33-8 
 
 
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t)i!Hir (ii iiir: si-h rnosi cric iunaii^ 
 
 :\(;ri r.i; 
 
 65 
 
 I'liKI.IMlNARV KI.IMKNTS 
 
 /' --7 ^(Xldiiy- 
 '/'^Jiilian Day ■2A-2{),'J\:',-2:U 
 K =.■);<•{) km. 
 w =330° 
 . =()■().-) 
 7 '= + l()-70 kiii. 
 ^ =4S^.7!4.-) 
 
 OHSi:i!\ AI'lOX IX^l ATlllNS 
 
 I 
 Ii 
 
 S. 
 
 <J. 
 
 10. 
 
 11. 
 
 13. 
 
 Where 
 
 - (I ;I4S 
 
 - •!»:{."> 
 
 - 7;5s 
 
 - ()7:{ 
 + (t siu 
 
 t- 1(M1 
 
 + i( ■<).")() 
 
 + DSl.-) 
 
 + ()«1 
 
 + t)0."j.j 
 
 - 0-797 
 
 X =dy 
 
 .'/ =dK 
 
 z =K(le 
 
 j) = Kdu 
 
 U =- 
 
 
 ^- ootiii 
 
 -r ori'.i:; 
 
 - I)-2.S!I 
 
 - D'.INO 
 
 i- lllilil 
 
 f ()so:i 
 
 f lli-J 
 
 - o;i;iii 
 
 - (Mil.' 
 
 - OMl 
 
 + osi;i 
 
 111) 
 
 ()■:.>:!:! 
 (I lii'.i 
 
 Mils 
 
 iiti.")(i 
 
 031 
 
 (1 :ifl7 
 
 01)11 
 
 os«7 
 
 07.-. 
 ,">17 
 
 + 
 
 - 
 
 (I 
 
 - I 
 
 - 
 + 
 f 
 
 + 
 
 + 
 
 + 
 
 + 
 
 |-.':i 
 i<i:i 
 tio-.> 
 o:(:{ 
 
 (i!») 
 (Mil 
 M7 
 tj.JU 
 911 
 9*1 
 489 
 
 dT 
 
 - (Ml 
 
 - 1 oa 
 
 4- 0H2 
 
 + ;i-94 
 
 + 0-lS 
 
 Wiinlil 
 
 . 
 
 N'oR.MM, i:qr\ll()NS 
 
 llMOO.r + (i 4()l(y f S(»:k - ()S()/> - •_>t)4(l = (l 
 
 + .") ■ 888// - • 8 .■) 1 2 - ■ -) 17/) + 1 • :{•_>() = ( ) 
 
 4- .")■(>(>()? - t\'A2lu + !!l'(> = (> 
 
 + 4 218/y -U) 3n(> = (> 
 
(i<; 
 
 ri lii.K A riu\s 111 nil. dumimun onsi u\ aihk^ 
 
 whence, (/.(■ =^ -|-0-2!».") .ir ily = +()L>'.) km. 
 f/(/ --= -0 ((.■)! ,/A,'- -do:, km. 
 
 dz = -0 114 (A = (M) 
 
 <//; = -VI- 1;{:. 6u.' = +2 (•>;{ 
 
 iiNAi. i.i.i;mi:ni> 
 
 /' =7 :{>l() (l:iy> 
 
 7' =.hili;iii Da.v 2.4-_'{l,U4;M':i:i 
 
 u' =:«•_'■<; 
 
 ( =(»•().■) 
 
 a: =.VJ'.i.', km. 
 
 7 = ^-11 () km. 
 
 (/ sin / =:),;57(),(K)0 km. 
 
 //(I sin" ( 
 
 1 ///-+-//(! I '■' 
 
 = 011 o 
 
 Hussell's short Ki'ipl'ii'al methoil \v;is tried iillcr the foiegoinn -oliitioii was 
 cDIiipleted. This metliod a^^rees witli tlie iir^t in estalili-hilifj the [ireseiiee cil' 
 eceentiicit.v. The ■■anomai.N" diaj!;iam. lidwever. does not yield a smooth curve, 
 and the position of ix'riastroii and w remain somewhat uncertain. 
 
 The measures of the secondary spectrum are not of siithcient value to help in 
 determining the elements of the primary. They were formed into two normal 
 I)laces as follows; 
 
 ri,:.- 
 
 V.l,„iu 
 
 WViKl.t 
 
 II 1\ 
 
 list 
 
 SI 1 km. 
 (il I) km. 
 
 1 lom these we obtain the following additional elements: 
 /\i -7.\S km. 
 (/,sin / -=7,4',t().(»(M) km. 
 ///, '~in ' (' - (!■(),"> O 
 //( sin' I =()i)I Qi 
 
 dominion Obser\atory 
 
 Ottawa. ,lanuarv, 1!)17. 
 
HMI I I>1 lllli SI'Kt I Hl)S( (il'H l<IN\l!\ .' SACilTl.i: 
 
 (•7