Vien and Lee 



\ (e) =Pjj n.(j W +U-A-)(<t> I + (|) D )ds 



' // J n. ( w + U K cos fl ) (t> T ds 

 »°H0 »n i + ^ 3 S i5 -«n 2 S. 6 ) «|) D 



SO, 

 = P 



So 

 where the line integral at the stern section is neglected. 



Within the accuracy of the order of approximation in this 

 work and together with a slenderness assumption of each hull of 

 the catamaran, we can derive from Equation (58) and (61) that 



^Mn = ' j " ( -^o + -o X ^ • B - U (a xe, ) . n on S q (70) 

 where 



io = ( *10* *20' ^30^ 



-^o = ( *40' *50' *60* 



_A = (x, y, z) 



and e_| is the unit vector in the x direction. Substitution of Equa- 

 tion (63) into Equation (70) yields 



6. = -j« n. + U n, 5. -Un « (71) 



in i 3 i5 2 16 



on S for i = 2, 3, . . . , 6, 

 o 



Using Equation (71) and the relation 



<*> + U K cos 8 = co 

 o K o 



in Equation (69), we get 



530 



