Theory of Unsteady Propeller Forces 



using Eqs. (44), (45), and (48) and neglecting the small quantities of higher order 

 the differences of the components of force and moment of water acting on the 

 rudder, which are denoted by k^^^^, k^^^^, K^p.o' ^rmxo ' KuyO' and k^^^^, are 



^RFz " ^RFz " ^RFz 



where 



^1 "".1 



gR (^l.U) 





(SR) 



+ ~gR(7?j,U,s) X^Q + 



L 3^ di 



^ — + Al + v*x 



(SR) 



du , 



du , 



(83) 



^Dl 





s)] 



— ^- — + + v*° + V, ° 



(SR) 



Bz|(r,j,u) 



du , 



Vr°(^i) + V*^(^i.s)l'[dT,j, ., 



+ C 



(84) 

 (Cont) 



41 



