1 9£ 

 ^ 9t 



/T^ 



(z -z^r 



H 



-H 



[59] 

 continued 



1 f^ 



r at 



and similarly 



9r 8x 



cos 9 9f 

 r2 at 



[60] 



Thus on the body the potential ijj satisfies the conditions [55] and [56] to 

 leading order in R. To establish that the same is true of ijj, we now show^ 

 that the contributions from i|j2 ^^^ d\\)y/dx are of higher order in R. 

 Since 



^ Jo(k^) = 



-kJ^(kr) 



it follows that 



d^2 



r!l=_K r ^l ^L-e^(^+^l)j,(kr)dkdz, 

 9r J_H at Jo k-K 1 1 



+ ttojK^ r f (z, ,t) e^^^ + ^1^ Jj(Kr)dz, 



[61] 



We wish to show that 



~a7 



= 0(f) 



and 



dr ax 



= »(i) 



25 



