THE GENERAL PERTURBATIONS OF THE MINOR PLANETS. 109 
a i . dR 
Introducing these values into the expression for = 
a 
we have 
dk 
a = Pt cost cos (v — Q) 7 8n (@ + m—2) Z 
—hrcostsin (v — 2) ~ Cos (@ + m)— Q)) Z 
\3 
=—hreost 
[ sin @ COS (v — Qo — (m— 20) | Z 
Q 
0 
—hrcosi% [ cos @ sin (v — &— (7% — &0)) | Z 
QX 
dQ 
= fhpeans = sim (@— 7) ==. 
Hsin(o—f) 4, 
é ke y/1 em ke y/1-m 
Introducing » = mean mips = E : 
Vv P 
we have 
ak ] Tr O dQ 4 
a p P : 
: = —£ im (©— Sk : 
ndt \/ 1—e’ a aac (o f) g AIF a (37) 
Let 
il Pp 
CSS = =n (@— 77) e 
V1—e a ae (o—f); 
then 
dk 9 dQ 
— — o> || == Iho 
cos 7.ndt C ee 
To find an expression for C similar to those for A and B we have, first, 
1 po. i p Jape 
oe sO sie. conf" cos. - sin f |. 
\/1—e’ La, a My a 
