Linearized Potential Flow Theory for ACVs in a Seaway 



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(8a) M 1Q10 = - 2 p g 9 001 e // z' h (x' , z' ) dx'dz 



- 2 



/'o 

 (z ooi - x ' e ooi )x ' h(x ' ' o)dx ' 



L 

 ^ m 2\ 2 \ 2 



CT/ h G ((r X 001 -g OOl } -"l- a 9 001 



(*«) M ouo = 2 (x 001 + h G * 0Ql ) e i(rt ff XPo dxdy + 



icrt 



(t) h G ( "Sol " g "OOI 5 " It)' 2 9 001 



icrt 



"f 



<* * > M 2010 = " 2 P e // V (X 001 + Z ' + h G 9 001>*l 



000 



+ v (z ooi " "W *iooo . . + v *ioio " ia *ioio 



(z ' H' ■ x ' It- ) + g G ioi z ' h (x ' ' z ' } J dx ' dz ' + 



+ 2 p e 



i,yr 



dh 



v(z ooi "^ooi^iooo >^' " g(z ioi " 



(0 a) M 



x>9 101 ) h (x' ,o) j ,.fc- + ^— ) h G <r (x" 101 - 



ioi - (-t) °" 2 8 101. 



- z ) - e 

 001 100 7 s 



x(r oio s ooi +i ooi s oio + 2? on p o + 



+ ~ V 010*001 (3xp o " 2 P o ) " a Po Z 001 ( T P o " 



_ V* 



0100 ) 

 xx -• 



x 



'm 



dxdy + 



AVy h G ° z (x on - z oo/oio ) - 



-g* 



l\ 2 



iat 



Oil Hf! a 011_ 



137 



