THE GENERAL PERTURBATIONS OF THE MINOR PLANETS. 
and 
= (y—y7) = log. (2 O—¥). 
Thus 
g V/—1 = log. z= log. Gc2 Gq us) 
and hence 
YC (Ce) 
From 
z=y.c 29-9"), 
we have 
PG te). 
and 
yf =e ve ZU) | 
Let 5 be denoted by 4; then 
C- 7) io Aa. y . ch " ye, 
and 
ex9—-Y7) = GY cH Bey”, 
But 
chy cr a(l—m.y + yp — Pe y + oy! Fete.) 
Ase) 2 ie ee 
(1+ ha.y7 ae ol te peel! + rear y+ ete.) 
oT 
(4) 
(6) 
(8) 
(9) 
