co1-2(0 



2 1 



1 - fan (p 



-(t) 



2 tancp 



H^ 



(B-2) 



From Equations 10, B-1, and B-2, 



ton^ = {{^^{^'/^ 



As LC' -^ nn, sin'^o)'-' 



2 2 



cos (oj' + CP) "* COS <p 



4 4 



cos (cc' + <p) ~* cos cp 



2 2 4 



By defining C = (/3 sin 2cp)/cos o. Equation 8 becomes 



(B-3) 



(B-4) 

 (B-5) 



(Ui)2 = 



2 



cos cp 



2 2 2 



2^ sin (p sin uj' I- 



2 ^/2 

 (1 +Csin o)') - 1 



(B-6) 



In Equation B-6, 



llm 



a;'-* nTT 



2 ^/2 

 (1 +Csin CO') - 1 



sin^oj' 



lim 

 u;' -• n77 



- C 2 sin 60' cos 60' 



2 V'- 

 _(1 +Csin to') 



1 



2 sin co' cos Cc' 



lim 



co' -* n77 



1 



(1 + C sin CO') 



1/2 



Therefore, from Equation B-6, 



,.^2 1 



2 



cos (p 



to'-n77 \2rsin^ 



63 



