Wave Forces on a Restratned Shtp tn Head-Sea Waves 
¥, = Bo (x) Be + | kp (s;k) sof G(kY,kZ;ké (s), kn (s) ) 
Ct) 
(87) 
+ G(kY,kZ; -ké (s), kn (s))] ds | 
For an explanation of (87), see the discussion following 
equation (41) in the zero-speed problem. B,(x) in (87) is unknown 
at the moment now, but will be determined by matching. 
The two-term near-field solution, 
Ry erate es (88) 
has the following three-term outer expansion * 
i(wt- vx) | e'” meee dee, (4) 
Vr -L/2 4/2u +2 Up -, 
sia 
89 
+B) (x) phir) B, (x) at” g Zig propel teygt tole hoo of 
C(+) 
* 
See (43) and the text in connection with (43) 
1797 
