with 



2 2 2 



R - (x - x ) + (y - y > 



p - ten >.- ) 



When 6_ - 9. iu small, the Integral between 9. and 9, can be approxitaated as 



9,. 8 



u (C + iS)d9 - I k sec*9 • exp{-k Q sec 2 e[T -> 1R coe(9 + &))} (61) 



1 



where A, B, a, and b are constant between 0, and 8„. The last expression in 

 Equation (6?.) can be analytically evaluated. Once the nonaal derivative of the 

 Green function, which contains Equation (61), is numerically evaluated, Equation 

 (33) can be expressed as a system of linear equations and a. can be solved by 

 the taethod of Gauss elimination. 



For the computation of forces and moment of a control plane, we discretize 

 each section of the control plane with straight segments as shown, in Figure 7. 

 The unknown strength of the two-dimensional sources and sinks on each segment Is 

 assumed to ba constant. The subscript i for a, in Equation (27) will be dropped 

 frosa now on to avoid confusion associated with Chat of segasents. a represents 



19 



