COMET OF 18S9-1896-1903 285 



39. We have seen that there were large disturbances in the 

 motion of the comet due to the figure of Jupiter. In section 

 34 were calculated the perturbations of the hyperbolic ele- 

 ments due to this cause and the results there obtained were 

 used in all calculations. Elements VI, therefore, depend upon 

 the numerical accuracy with which these perturbations were 

 computed. As these were difficult to calculate, owing to 

 the very close approach of the nucleus to the surface of the 

 planet, it is of interest to show, in a direct manner, the effect 

 of these disturbances upon the motion of the comet. In order 

 to do this I made an independent calculation of the path of the 

 nucleus about Jupiter, omitting the perturbations due to figure, 

 but retaining those due to the sun. 



The hyperbolic elements which represent the path of the 

 comet about Jupiter on October 26.5 1886, and which were 

 given in section 32 were made the basis of the new compu- 

 tation. 



To these elements were applied the solar perturbations for 

 the interval between October 26.5 and March 24.5 and thus 

 were found the hyperbolic elements which represent the motion 

 of the comet about Jupiter on March 24.5. These elements 

 differ but little from those given in the previous section, except 

 in V and N, where the perturbations due to figure were quite 

 large. From these elements were deduced the elliptic elements, 

 which represent the motion of the comet about the Sun on 

 March 24.5, in a manner entirely similar to that explained in 

 37, and which were found to be : 



Epoch, March 24.5 1886. 

 11= 83'''. 8702 

 7rz=iS7°ii^ 7'^88"' 

 S2= 183 7 16 .87 

 i= 7 3048 .47 

 "= 4 3 SI 01 

 0= 33 25 6 .99 

 M = ~2 8 24 .48' 



In these elements the coefficients of the indeterminate v would 

 be nearly the same as those given for the corresponding ele- 



1886.0 



