THE GENERAL PERTURBATIONS OF THE MINOR PLANETS. 
From 
z= 0"! = cosg + /—1 sing, 
we have 
dz = (—sing + /—1.cosg) dg; 
also 
z/—1= /—1 cosg —sin g. 
Therefore 
dz=2 /—1 . dq, 
and (17) becomes 
In like manner we find 
e . (h) e (2) e 
Comparing this value of @, with that of P,, we obtain 
(h 
©) (i) (i) 
ee io ll Leas at De Le 
or 
A. P. S.— VOL. XIX. F. 
41 
(18) 
(19) 
