Vassilopoulos and Mandel 

 M^ = amplitude of exciting pitching moment 



N = yawing moment 

 N(x) = sectional damping coefficient 



= origin of body axes 



p = angular velocity of roll 



p = angular acceleration of roll 



q = angular velocity of pitch 



q = angular acceleration of pitch 

 Rq = position vector of G relative to 



f = angular acceleration of yaw 



r = angular velocity of yaw 



t = time 



u = longitudinal velocity component of origin of body axes relative 

 to fixed axes 



u = longitudinal acceleration component 



Uq = velocity vector of G relative to fixed axes 



V = transverse velocity component of origin of body axes relative to 



fixed axes 



V = transverse acceleration component of origin of body axes rela- 



tive to fixed axes 



¥ = underwater volume of ship 



w = normal velocity component of origin of body axes relative to 

 fixed axes 



w = normal acceleration component of origin of body axes relative 

 to fixed axes 



X = longitudinal body axis or coordinate of a point relative to body 

 axes 



x^ = fixed longitudinal axis or longitudinal coordinate of a point rela- 

 tive to fixed axes 



350 



