THE GENERAL PERTURBATIONS OF THE MINOR PLANETS. 
For h’ = 0, we have 
(GOe) = LO =w de) = 27 GE abe) 
(LO, 9) == (G08) = 20 GG 1h 5) yy Gal) 
(ZO,e) = @Oo— 27 Co) — 2) CS 10) 
((2, 0, s)) = (2,0, s) — (2,1, s) — a’ (2,—1, s) 
ete. ete. 
In what precedes we have put 
and obtain 
g = the mean anomaly, 
é = the eccentric anomaly, 
c = the Naperian base, 
Bu 
= Clas 
a yf". ols ¥—-y » 
ee 2G ae 
yi = 2. oY y’), 
he(y—y) + : ‘ ewe 
where ¢2U—Y") ig expressed in a series, the general term of which is 
we hig! ney 
hr oe (1 rae ee ) ram 
l.m--1 1.2.m--1.m-+2 2.3.m--1.m--2.m-43 SE Ces) Gy) 
Thus 
| I hin hers 
h h mam 
B= 0 APOE (A — ee 
y lm+1 1.2.m-+-1.m-+2 1.2.3.m—--1.m+2.m+3 35 ON 10) 
We have also put 
and since 
Offre py +00 _(—m) 
eh Y ) — Dan ea . Oe 
(m) 
ca YY *) =s" my 00S 
(—m) (m) 
Jin — Sin ? 
AT 
