1250 
1A OR, DR, aR, a oR, 
J a 
ie RUA Papers cee nn 
ken Vi 
dt QQ 
190 ARR), FARR), ARR) op. aR, 
dt OA te DOT 0.400 OAS 
In R, the terms of an order higher than the first with respect to 
e’ are to be omitted. Taking account of the solution for e = 0, these 
equations become : 
d0A _ OTR a gg OR, ORs 
Tine wegen) es Be SSS 
dor OR, 
ste 02’ 
dd) OR, +R) 0? (R, +R.) OR, 
We a ee 
Eliminating 0// and dT, one gets: 
dd0 OUR, +R.) OR, An _Ò(R,+R)OR, 
dt? DA NDR zen DA TD 
__dòR, ZEE | ghee] ORS 
dt 0A 0A? 0A0T 022 
The development of R, (taking account of the terms of the first 
order with respect to e’ only) is this: 
eo) 
rr 2e 
mie 
R, == ah E Q ) p B, cos p 0 + sin $ 2); p Cy sin p | 
0 
1 
B, and C, being functions of 4 and 1. 
From my development of certain portions of the perturbative 
function I deduce: 
S| = — 0, 574 sin Q. 
4=0 
00 
From the solution of the differential equations for € == 0 we have: 
d2 a OR OR, 
= ; thus A&, the mean motion of @, is of the 
order of m’. A consequence of this and of the equation 
0°R, pase R, 
OR, 
== —() is, that only the term in — in the right member 
ie” Cai er y 00 
of the differential equation gives a contribution of the order of 7’; 
the remaining terms only give contributions of the order of mm’? 
The coefficient of Ò9 in the left member is the square of the mean 
