COMET OF 1889-1896-1903 269 



From these were derived the complete hyperboHc elements, 

 which represent the osculating hyperbola in which the comet 

 was moving about Jupiter on 1886, October 26.5. 



These elements are as follows : 



Epoch, 1886, October 26.5. 



77 ^ 283°2I''28/''25 -f- 27l/''290V 



12 = 258 720. 50 — 12. 294 V 



«■= 74 39 23. 47— 97- 957 1' 

 (j= 25 14 7. 75 + 258. 996 y 

 a= — O.0S57561 + 0.0000098 y 

 c^ 1.0093523 -f o.ooor826v 

 N ^ -\- 0.9046965 + o. 0009094 1' 



and the time of peri-jovian passage, neglecting the effect of 

 solar perturbations, is 



1886, July 20.0813 — 0.0819 V 



The values of the coefficients of v in the hyperbola about 

 Jupiter were found in the following manner. In the elliptic ele- 

 ments for October 26.5, v was given a value of +, 10 and from 

 the resulting elements were derived the corresponding hyper- 

 bolic elements in a manner entirely similar to that explained 

 above. The differences between the elements thus found and 

 the corresponding elements for v = o were divided by 10 and 

 the results of this division are the coefficients of v as given 

 above. 



The entire computation of these elements was checked by 

 means of the control explained in §30. In my work, the date 

 chosen to make the transformation to Jupiter as the center of 

 motion was, as has already been given, 1886 October, 26.5 ; 

 the interval, /' — /, was taken as sixteen days, thus making the 

 check-date October 10.5. A longer check-interval cannot well 

 be used, for the perturbations of th£ elliptic elements become 

 more and more difficult of computation as we advance nearer 

 and nearer to Jupiter. I first applied to the hyperbolic elements 

 for October 26.5 that correspond to v equal to zero, the solar 

 perturbations for sixteen days ; thus deriving the osculating 

 hyperbolic elements for October 10.5. From these I then found 



