A Vortex Theory for the Maneuvering Ship 



Xp.cos« = iMU^{-f^O.-l>/(f) 



2W 

 AL 



^, cos [cot +|) = lpAU^ 



(^Ij-m^g) - bg;(^)/(^) (^ 



&g COS ojt 



2W 



AL ^'3 



Lastly, we get: [)\l - expression given by (8)], 



CoL „ / 77 ' 



— ^0 COS (ojt + 2 



M18) 



in COS cot = Ti PALU 

 Pi 2 



2 J 2W gL , . . , //tX\ ^ ^ 2W , ^ , , 



/ / (Ci}L\ /lojh 



.b-.'l^)/(^)-If (fee, 



^ (if) ^0 COS OJt , 



c<jL\ IIo]_, 



M19) 



^ip COS (^t + ^ ) = I pALU2 \ h ' 



1-0'(O) - f 



I 1<^L\ 



+ ^T (^B^L -c. )2;3C, 



^T ("^B^^L -S 



6jL ^, I 



X — fc'g COS Wt + 



^R+a 



f I — 

 2B ' 2B \ U 



15. Interpretation of Experiment Results 

 (Steady and Harmonic Forced Motions) 



15.1. Steady Forced Motions 



By testing a submerged body in various steady motions — without and with 

 diving planes, without and with propeller —it is possible [see par. 14.2, Eq. (8)] 

 to get the numerical values of the following coefficients: 



C , c , c , C 



X' Xg x^' n 



B "B ,, , "B ,. 



X (^'B%-^n,jn-a,3), 



> (1) 



M13. f^3 -Ml 



889 



