258 POOR 



PART II. 



The Action of Jupiter upon the Comet During 1886. 



28. Elements V, as given in Part I, and which represent the 

 motion of the comet when first discovered, were made the basis 

 of all investigations. These elements were first carried back by- 

 means of the perturbations during the interval 1889 and 1886, 

 to October 26.5, 1886, on which date the comet emerged from 

 Jupiter's "sphere of activity." During the preceding months, 

 whilst the comet was traversing the " sphere of activity," Jupiter 

 was considered as central and the sun as disturbing body, and 

 during this time the comet was found to be travelling about 

 Jupiter in a hyperbolic orbit. On March 24, 1886, the comet 

 was so far from Jupiter that it became necessary to transfer the 

 center of motion back again to the sun. For some time before 

 this date, however, the perturbations of Jupiter were very large 

 and were carefully computed. 



In this manner were derived the elements, which best repre- 

 sent the motion of the comet in 1883 previous to its close ap- 

 proach to Jupiter in 1886. 



29. Perhirbations between iS8g and 1S86. — With elements 

 V, which are osculating for 1889, September 30.5, were com- 

 puted the perturbations from that date to 1886, October 26.5. 

 The perturbations by Jupiter during this period had previously 

 been computed, but with elements which differed slightly from 

 those adopted in this work. These old perturbations were inte- 

 grated for the date of each new computation and the results ap- 

 plied to the adopted elements. With the elements thus derived for 

 any given date the perturbations were recomputed, and when the 

 action of Jupiter became very large, these perturbations were 

 again integrated, applied, and the computations made anew. 

 The final results were carefully checked by differencing and by 

 independent computations. 



