THH GENERAL PERTURBATIONS OF THE MINOR PLANETS. 
From these relations we derive 
ie i 
oe oe in {Sr . dt, 
and also 
es oss af Sr. dt 
VP ky/ po) 1/p 
If we eliminate + from equations (4), noting that 
» af pee ak a 
fe = ih Se elt 
di NOE pe rae oe 
we have 
— ee =2(|[¢= a EGP | at 
fy _ See =/((r= ue _ Sr | dt, 
neglecting the constants of integration. 
Since r =r (1+ v), we have also 
a=ax(l+»), y=y(1+>). 
The equations (7) then become 
= a da ksin f _ sin f 
eee ia hinge =f (X—=E. 8r)at 
— d ») YY. _ Beosf _ cos f : 
Dore let er ae =J (V+. Sr) at 
From the equations 
L = My COS E— AL, Y= Ay COS Hp SIN ky 
79 
(5) 
(6) 
(7) 
(8) 
