676 SCHÜLTZ-STEINHBIL, THE ARGUMENT X^,- 



+ e cos mrc -S cos /l — (1 + e^) cos »n/r aS^^^ cos /l + 

 + 7 Ä^^' sin2Z — coscpcos mTT /S^^^sinPi — ^coscp *S^^^ cos2A + 



Am T m 4- "' 



|(0) 



lÄ-l' {i i'c) cos 



i\ rriTt — ^ + iX — i'Xj 



+ 



+ ^2A^^^ (i i's) sin ii mrr — -^\ + il — i'Xr 



(15) 



Here K^ is the constant of integration, wliich is however Func- 

 tion of m and only constant as to l. By reducing (15) we have 



idz = Km + 



X- 



m O 771 



+ l 



m 9 ™ '" 



+ 



+ A cos A cos /«TT [^rj^^ — (1 + e"-) r^'^] + 



+ 2 ^. cos 2 2 — ^ cos m r 



+ A sin X r — cos g) cos mTt I^^-*! + 



+ 2 Z sin 2 Z 



8 " 



+ 



+ cos l cos mit \— cos g^r^'^ + e-S^" — (1 + e^) ^^"'1 



+ 



+ cos 2Z 



, ^ 7-(2) ^ c (3) 



+ ö i 7 cos CD »8 



.Q in A I m 



+ 



8-7« 4 

 + sin l cos ?/v7r [— eF^^^ + (1 + e-) rf — cos yÄjf] + 



+ sin 2 A 



+ ^cosa)r^^^ + ^S^-^^ 



+ 



z| mrt — -^ j + ^'/l — i'X, 



+ 22Ä^' {i i'c) cos 

 + 2^Af (i i's) sin 

 From (16) we get for determination of iT, 



+ 



ii niTt — -^ j + il — i' X„ 



(16) 



•L^m -^Tre — 1 — c\ 



m — 1 2 TK — 1 



+ 7t 



<^a) ^ ^(2) 



7?i — 1 2 ™ — 1 



- 7t[e cos m — 1 TT rll^_ 1 - (i + ^-) cos (m - 1) tt rjf_ J + 



+ 27r 



<3) 



-rCOSCpF , 



g T 7« — 1 



This formula is continued on the following page. 



