THE GENERAL PERTURBATIONS OF THE MINOR PLANETS. 139 
5 a os [MUN oO 7 
We have next to transform the expressions for «(—) and ua? (= ust given 
into others in which both the angles involved are mean anomalies. 
From 
beginning with m = 5, we find the values of 7, for values of ¢’ from £ to e”’. 
Then we find 
Putting m= 4, we find the values of 1, as in the case of r;. Then we get ps from 
1. = — 
Dae 
(0) 
We proceed in this way until we finally have the values of p, Then we find J, . or 
&: 
(Fi — 1) from 
where J=h’¢, 
(m) 
and J je from 
2 
The details of the computation are as follows: 
