THE GENERAL PERTURBATIONS OF THE MINOR PLANETS. 141 
Noting that log. (J —1) = log. (— P+ oo A=, and t=W2', we form 
bo| & 
the following tables : 
17 Te) ee) 1 2) 1 _@ 
he) Log. (Suv —1) Log. Fun Log. Jw Log. iin Log. 5 Fu 
1 6.7649 8.38238 6.4639 4.3693 2.1498 
2 7.0658 8.38201 6.7647 4.9712 3.0527 
3 7.2415n 8.38138 6.9404 5.3231 3.5807 
4 7.3661n 8.38052 7.0647 5.5725 3-JooL 
5 7.4624n 8.37941 7.1610 5.7658 4.2456 
6 7.5409n 8.37809 7.2392 5.9235 4.4826 
7 7.6070n 8.37656 7.3052 6.0567 4.6828 
8 7.6641n 8.37483 7.3621 6.1719 4.8562 
» (Wi) 
rr u 
Value of i URN 
1 —— fst se) WSs Was Wt WSs 
1) 4.9712n 6.4639 6.76495n 8.38201 6.9404 5.5125 4.2455 
2|3.3537n 4.6703n 8.68341n 7.366938n 8.68241 7.3657 6.0668 4.7835 
3 6.9410 8.85913n 7.71869n 8.85764 7.6381 6.4006 5.1598 
4 49714n 7.36675 8.98344n 17.96813n 8.98147 17.8413 6.6588 5.4583 
5 5.6702n 7.6393 9.07949n 8.1614n 9.07706 8.0042 6.8709 
6 6.1012n 7.8432 9.15756n 8.3190n 9.15471 8.1402 
alpHlorsha—0» 6.4176n 8.0061 9.22320n 8.452In 9.21993 
8 | we have 6.6689n 8.1423 9.27965n 8.5672n 
9 8.38251n 6.87TTin 8.2594 9.32905n 
In computing the values of the J functions, the lines headed Zech show that 
addition or subtraction tables haye been used. For conyenience, (J“’—1) is em- 
ployed instead of J\, its values being found in the line headed log. (— P rt). 
