MATHEMATICAL NOTATION AND CONSTANTS 

 A Amplitude of incoming wave 



A Added-mass coefficients ( j , k=3 for heave; j, k=5 for pitch) 



jk 



B Damping coefficients ( j , k=3 for heave; j, k=5 for pitch) 



jk 



C Coefficient for longitudinal interaction 



j 



C Hydrostatic coefficients 



jk 



D Displacement of SWATH ship 



D Pitch determinant 



F Heave exciting force (i=3) or pitch exciting moment (i=5) 



i 



G Green function 



g Gravitational acceleration 



H Heave (i=3) and pitch (i=5) amplitudes 



i 



I Mass moment of inertia 



Imaginary unit 



2 



Wave number of frequency of encounter (also, K = w /g is 



the incoming wave number) 

 Characteristic length of SWATH ship 

 Mass of SWATH ship 



Normal vector due to the steady forward potential 



A constant 



Unit vector directed normal into the fluid 



Coordinate systems with origin at 

 Pressure 



i = 



(-d 1/2 





K = 



2. 



01 /g 





L 







M 







m(m. 



. ,m ,rru) 





m = 



u 2 /g 





n(n 



L ,n 2 ,n 3 ) 





0(x 



,y,z); 0(5, r| ; 



,?) 



P 







