Motion and Resistance of a Low-Watery lane Catamaran 



From Equation (75) we have 



B_, = !-Im. / dx 



26 to j / 



i -too 



Since by inspection we can deduce of Equation (71) that 



/ * 2 n *6 d> 



§ L = (x + -£■; ) d>. 



_u 



we can show that 

 B 26 ■ 



fax {-^- Im . f 0, 2 4> En d^ 



■ c(x) 



/ 



x b 22 (x) dx - U A 22 



APPENDIX B - SOLUTION OF DIFFRACTION POTENTIAL 



In the following, the solution of the diffraction potential 



(J) will be obtained in the Oyz plane. 



D 



The boundary-value problem for (j) is described as 



( -M- + -^t) <1> (y. ■) = o 



V 



bz Z D 



^Dz ^ 0) " K o ^D = ° 



(78) 



where 



K 



2 / 

 w / g 



4) 



Dn 



* 



In 



(79) 



where c is the contour of the immersed portion of a catamaran 

 cross section located at x , and the incoming wave potential 4> 

 is given by 



(J) = _^g_ e J K Q x cos e K Q (z - j y sin ) (g()) 



535 



