THE GENERAL PERTURBATIONS OF THE MINOR PLANETS. 
. hy s : : : “ 
Since G — 1) is a quantity of the order of the disturbing force we have 
es ee =i) . —— (a) 4 etc., 
h h h 
from which we get 
Now putting 
hy 2 hy 3 eee 
Ge — 1) = (e — 1) + ete. = H, + periodie terms, 
substituting this expression and those for 
oh fx ho 
Fos ape aaa i Ae 
the preceding expression for 
gives, preserving only constant terms, 
kj = —4(kh + ek,) +2 Af. 
Introducing this value of /; into the expression for WV it becomes 
N=—}4(4h, 4: ek, +384) +4(8V,4+ 20,—3Z,). 
Preserving only the terms of the first order we have 
N=—}(4k + ek, + 3%). 
; = 6 Sats h 
To find the value of A, the constant of integration in case of 6 7» We have 
L 
0 
: =—1-+ K + periodic terms, 
"0 
ie 
