30 
WER aGl =) 7a COSI OMY iig Sune ntlveta 
Se2 
R= jee. y) exp.falr(cosd (cosa- CcOSd )+sing(cosB- cosBo ) 
Sasi 
*otai(cosy(s)-1)1}2¢ 
Let s = 7, so that 
D> 
R= | 20. y) 
Q=2, 
expjALr (cosp(cose- cosdo )+sing(cos8- cosBo )) 
*o(@Nleosy(@)-171 ra 
Using the relationships 
cos8- cos8o 
tan = 
Po COSA- COSXo 
_ COSA- COSAHo 
COS & = 
(cosa- cosa © +(cos8- cosBo )® 
cos8-coso 
sin @ = =. 
Ni (cosa- cosdo )* +(cos8-cosBo )* 
the integral becomes 
R= | 20, y) 
=D, 
+o(g)(cosy(g)- 1) ] brag 
expjklr N(cosa- cosa )* +(cos8- cos8o )* cos(Z- Zo ) 
