THE GENERAL PERTURBATIONS OF THE MINOR PLANETS. 
where 
Bt = ty + ey, 
Uand V being two functions depending alone on ¢. 
Putting x = + 1, and —1, we have 
(1) (1) 
Gs ee ye ey 
de 
d RY R® 1, 
(1) = ae ei: 
Qa = 
de e 4 
and hence 
aY 1 aD a® — gD 
C= dk® ? v= R® 
de Ce 
Thus we find 
[ dR) dR) 
de RW de RW = 
Oi AC eae Gari | GE — 2 oe jes 
de de 
or putting 
dR«) 
A de Rie) 
a 9d RO + x aR® 
de 
dR) 
de Rix) 
Ql) = 9 ER® —2.4 Ro 9 
de 
we have 
a® = aM + 9M ag, 
103 
(33) 
