282 POOR 



the semi-axis major of the comet's orbit about the sun and 

 the auxihary quantities/,/' as follows : 



log C =8.6928251 

 log C =7.7994321 n 

 log (7''=6.5i896i9 n 

 log a = 1.0649320 

 log/ =r 6.1922104 ;? 

 log/'' =5.2922140 « 



and consequently the resulting orbit is an ellipse of 39.57 years 

 period. 



From the above quantities were derived the complete elliptic 

 elements which represent the osculating ellipse in which the 

 comet was travelling about the sun on March 24.5 1886. 

 These elements are : 



Epoch, March 24.5 1886 

 11^^ 89''''. 66204+ o''''. 1 1 1837 V 



TT = 1 87° 12^3 3^''. 7 -f 194'''. 392 V 



Q = 183 o 3 .44- 108 .157 V 



i= 7 17 38 -7 -h 96 -MA-v 



w= 4 12 30 .3 + 86 .235 i- 



^ 32 I 26 .6 — 100 .309 V 



i^/ = — 2 1659 .5— 57 .614V 



The date of perihelion passage was found to be, 



1S86 June 24. 1723 + o'l. 51688 1'. 



The coefficients of v in the above were found by independent 

 caculations. In the hyberbolic elements of March 24. 5 v was 

 made equal to -f 10 and the resulting elliptic elements found 

 in a manner entirely similar to that above explained. These 

 elements were then compared with the constant parts of the 

 above elements, which correspond to v = o and the differences 

 divided by 10. The results are the coefficients in question. 



In making these transformations from hyperbola to ellipse 

 the check already described was again successfully applied. 



38. Perturbations Previous to 1886. — The elements just 

 given represent the osculating orbit which the comet was de- 

 scribing at the moment it entered Jupiter's sphere of activity. 

 For some months before this time the planet and comet were 



