COMET OF 1889-1896-1903 281 



the mean hyperbola, but on account of the great labor involved 

 in making separate determinations for the different values of v, 

 I used the mean values and applied them directly to the various 

 hyperbolas with the results as above given. 



From these elements were computed the rectangular coordi- 

 nates and velocities of the comet in reference to Jupiter as center 

 as below : 



log X = 8.4208419 n 

 log _j/ = 9.4298307 

 log 3=9.251 1007 n 



log ^ = 6.1427545 



log -^= 7.2597800/2 



at 



dz 

 log ^=7-0525958 



The coordinates and velocities of Jupiter about the sun were 

 found in the manner already explained in 3 i and were : 



A=:i8i°20^ 4^^82 



/3= I 17 50 .70 



log ;-= 0.7364961 



A;i=-f o°4^32'''.2o6 



A/3=+o o o .868 



A log r= -{- 0.00000581 



From these were easily computed the rectangular coordinates 

 and velocities of Jupiter in reference to the sun. Combining 

 these with the coordinates and velocities of the comet, as given 

 above, were found the heliocentric rectangular coordinates and 

 velocities of the comet, as follows : 



log X =:o. 7383624 « 



log y =9.1526213 

 log z ^8.739i8i4M 



log ^^ = 6.3693435 

 log ^ = 7-9547556 « 

 log -J = 7-0619536 



From these were derived, by means of the formulas in 32, the 

 expressions for the three constants of area, C, C , C" , that for 



