Pien and Strom-Tejsen 

 From Eqs. (49), (55), and (56) we have 



_ COSq(g-0) f ^^^ qW- J- . '^] d^ 



477^, D Jg. \ R3 R5 y 



sin q(5- 0) f . X / 1 ^ ^^l"^ 



sin q\ - — + ^ d\ , 



477/^f" Jg-^ V R^ R5 / (57a) 



f / 1 3RiM\ 



cos q\ - — + — — ]dk 



<^o-^i^-^) f s.n q^ f- -L . ^M) d^ . 



Arrp^n Jg.^ \ R3 R5 / (57jj) 



_ sin q(g - (j^) 



Let 



Ic 



r cos qk I- — + — —\dk , (58a) 



•^e-4> V R R / 



-l-^ \ R' R' / 



Then 



cos q(0-0) sin q(0-0) 



. """C'-^) K,, - '°7^':^> K„ . (59b) 



1 b 477/3 j; n 1 C 477-^^ Q 1 S ^ ' 



Since sin qk and cos qk can be expressed in terms of sin k and cos >v, and 

 since sin k and cos k are given by Eqs. (37a) and (37b) respectively, we may 

 write 



inq\ = XI giy' ' (60a) 



cos q\ = ^ h.yi , (60b) 



i = 



where g. and h- are functions of s^, Sj, s^, c^, c^, and c^. From Eqs. (39), 

 (40) , and (60) 



106 



