A Vortex Theory for the Maneuvering Ship 



In these formulae, cl^, c^^ and Cm^ are the characteristic coefficients of the 

 rudder (and aileron, if any) or of the sail. 



Finally, one has: 



) -AS/ 



"^ ^ -■ k = 3 



t L •- J 1, - O 



with 



r r 



^ (3) 



A£a = i pa^LU^ Cl^ Ca X^ a^A fok(t')-| f ok(^') <^kA( t ' - -' ) dr ' 



k = 3 ^ 



4 r t ' 



A}Ia= f pcr^LUn^A^L -c.l E^kA fok(t')-J fok(^')<^A(t'-T')dr'J . 



-■ k = 3 L > 



y (4) 



877 



