Falttnsen 
K. are modified Bessel functions as defined by Abramowitz and 
Stegun (1964). 
The coefficients A, and A,, in (96) are determined by 
satisfying the body boundary condition (95). This leads to an equation 
of the form 
ice 20 - vr cos@ 
~ ) A ~~ 6ycos 0 e = = 0 (100) 
r m 
= Il 
* fe) Or 
We have assumed here that we can differentiate the infinite 
series in (96) term by term, and we have used the fact that 
x = peel ; y =’ cos 6 (101) 
a0 
Fes in (100) is obtained from (99) and by using 9.6.26 in 
Abramowitz and Stegun (1964). So 
dO 
m 2m - 2 
Fe © covet Ky er gh #2) tomrepe aa aie) OOS 
+ 2 {-K iiepteat (vr) vcos(2m - 1) @ 
2m vr 2m -1l 
m 
= Be oe K, (vr) } veos 2mé6 
We will now describe in more detail how to solve (100) nume- 
rically and how numerically to evaluate S, in (96) and oe, in 
(100). 
Equation (100) is solved by setting up a least-square condi- 
tion. One assumes that the infinite sums in (96) and (100) converge 
sufficiently rapidly so that a finite number of terms in the infinite 
sums gives a satisfactory approximation. One calls this number M. 
1802 
