A Survey of Ship Motion Stabilization 



l<<^h = Pg^A„ 



K^ = wave "effectiveness term" in pitch [57], the result of integrating 

 the static wave profile over the hull length to determine pitching 

 moment 



K^ = wave "effectiveness" term in heave [57] 



K^ = e" ^""'^•^ , attenuation of wave height to keel 



7]^ = wave amplitude 



o) = wave frequency. 



The equations are symmetrical, and made somewhat more manageable in that 

 several of the cross coupling terms are equal. 



The equations can be rewritten by defining several natural frequencies and 

 coupling coefficients. Dividing all equations by k , , 



^- • ^t •■ ^t .. . i-nl\ /"^c 



- + — + + -— Z + — a + \^a = iK^ 



o \ iojt 



t 

 za 



t •• Zd) •• Z<p • t „ / 'O 1 i r.tt 



za. z za 



+ k^d> + 



where 



'•j 



h 



k k 



2 zz 2 t S" 



z J ' ^'^ Ik ¥ 



7 7. n 7 v^ 



795 



