THE GENERAL PERTURBATIONS OF THE MINOR PLANETS. 
From which we obtain 
A =—3 +(4-+ 26’) cos (y — g) 
+(e+ -) cos (y — 29) 
—(5e + 
2 
WS 
e 
+5 
3) 
25e° 
; ) cos y 
cos (y — 3q) 
cos (y — 49) 
+o +20) 
B=—(24+ &)sin(y—g) | 
—(e + “) sin (y—2q) 
7 3 
—(e + =) sin y 
—* sin (y—39) ( 
= ze sin (y —4q) 
eae 
aE 5, Sin (y + 29) 
101 
(32) 
These are the expressions of A and B whose values are used in the numerical compu- 
tations. 
When we have the coefficients of the arguments in which y is + 1, and —1, we 
obtain the coefficients of the arguments in which y is + 2, with very little labor. 
é dW : 
Let us resume the expression for a , that is, 
dWiee 
ndt ~~ 
‘3 a * 
Since - can be put in the form 
a” 
dQ 
dg 
Aa( 
A and B having the values given before. 
dr 
Yr 
—~ = >R™ cosk 
a w q, 
— — >" Rin kq, 
é 
Tr Ose 
2— cos f _ 
) + Bar Se) 
CP d Ri) 
de de 
cos kq, 
