COMET OF 1889-1896-1903 259 



During this interval the perturbations by the following 

 planets were considered : Venus, the Earth, Mars, Jupiter and 

 Saturn. The masses adopted for each are those as given in 

 Part I, which differ slightly from those used in former investiga- 

 'tions,' where the masses as given by Oppolzer were used. The 

 perturbations due to Venus, the Earth, Mars and Saturn, were 

 computed from 1889, September 30.5, to 1887, March 25.5. 

 Between March 1887, and October i'886, the perturbations of 

 Jupiter alone were taken into account. 



From September 1889 to March 1887, a uniform interval of 

 twenty days was used in the computations. At this latter date 

 the perturbations of Jupiter became so large that it was neces- 

 sary to reduce the interval to ten days. This interval was con- 

 tinued to December 25.5, 1886, when it again became necessary 

 to reduce the interval, and from this date to October 26.5, 

 1886, a four day period was accordingly used. 



The results, thus obtained, apply of course only to the mean 

 values of the elements ; that is, to that set of elements obtained 

 by putting v = o. The limits between which v may vary are 

 so small, however, that the perturbations computed with a set of 

 elements corresponding to an extreme value of v would not differ 

 appreciably from those found as above. To be rigorously accu- 

 rate the perturbations should be recomputed for different values 

 of V, at least for the interval between March 1887 and October 

 1886. This would entail considerable labor for the mere sake 

 of a degree of accuracy of no practical value. Hence I have 

 applied the perturbations, as found above, directly to elements 

 V, without regard to any changes that might be introduced by 

 the different values that v may attain. 



The computations were carried out as explained in Part I. 

 and the results are contained in the following tables, which give 

 the integrated values of the perturbations of the different ele- 

 ments for every forty days, until March 1887, before which 

 date the table contains the integrated results for every date of 

 computation. 



^ " Researches upon Comet V, 1889," Astro. Join-., No. 302. 



