1170 



(fO - e' 2 riiel^H , 



<j(e') =z :S of.''^^ COS (tïr -f qr). 



oi 



(21) 



The value of öq results from the third equation of (1) without 

 anv integration. Thus: 



d^ = 





dodo 



dR, 



(22) 



Then do can be developed so : 



+«, 



i;<i) . 



,.\ 



(:^3) 



p(e') =1 2: o';^ cos (-07 + 91 



00 



x\ccording to (1), ffi2 results from the equation : 



dt ooOfj ' o<f dado do 



(24) 



The right menilier can be developed as a power series in ii; the 

 constant term of this series fails: each coefiicient is equal to a sum 

 of terms, each of which contains e' as factor and is of the form: 



coefiicient. cos (tït -|- pr), 

 -\- GO. The coefficient of n is equal to: 



p = — 00, 



As 



Me' 

 a' 



dndO 





<9C«) = 



1 I 1 dCofl ^-0,0 Ö/, 



-1 a'A, Ix, dq x/ Ö9 



SÜI tU"- 



or' 



the coefficient of ^ in the right member of the equation for 



is equal to 



1 dCo,o Co,odx,\d'£i, . 



a'L, ' Ix, 0(7 X,' dq\ dr' 



The resulting development for d£2 is: 



sm W. 



dt 



(25) 



7=0 



P 





(26) 



