Full text: Théories des satellites de Jupiter et de Saturne. Pertubations des petites planètes (t. 4)

368 
CHAPITRE XXII. 
On appliquera maintenant la formule 
( J 8) nàz=zj W (i — e cose) de. 
On trouve sans peine 
W(i — e cose) = P (o, c) — ~ P(i, c) 
Si l’on pose 
(./) 
(/) 
+ H(o,s)|i- —j s cose — H(o, c)e sine 
H(o,i)e cos2e -f- - H(o, c)e sin 2 e 
P(i, c) — e P (o, c) — ~ P (2, c) 
P(2,C) -- P(I, C)- 6 - P( 3 ,c) 
| P( 3 , 
C) - - P(2,c) - - P( 4 ,C) 
cose 
cos2e 
cos 3 e 
sine 
+ fp(l, s) - P ( 2 , S) 
s i n 2 e 
H (o, c) — P(o, c) — |P(i, c), 
ll(i, c) = P (i, c) e P (o, c) — ^ P(2, c), 
2R(2,C) = P( 2 ,C)-^P([,C)-^P( 3 ,C), 
3R(3,c)=P(3,c)-£P(2,c) - JP( 4 ,c), 
* * * ) 
Pl(l, s) = P(l, s) — ^ P( 2, s), 
2 [{( 2 ,S) = P( 2 ,S)- l P (I,S)- - P( 3 , 5 ), 
il viendra 
W (x — e cose) = R(o, c) -+- ll(o, 0 £ cose — H(o, c)e sine 
g C 
— - II (o, s) £ COS 2£ + - H(o, c)e sin 2 
+ KO, c) cose + 2R(2,c) cos 2e +- 3 R( 3 , c) cos 3 e -+- 
H- R(t, s) sine -f- 2R(2, s) sin2e + 3 R( 3 , .9) sin 3 e -+-
	        
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