E, y (sin e. Isin 0. I)' 

 1.^^ 1 ' i' 



i=l 



n 



y F (0.) sin e. Isin 0. I = CA43) 



1=1 



where n is the total number of values taken from the vertical wave force 

 record (from an even number of equally spaced intervals per wave cycle, 

 and over any number of complete wave cycles), and i is the number of the 

 interval . 



These expressions are easily solved for the unknown parameters A , 

 B , C , D , and E , yielding: 



n 



y F (0.) cos 20. 

 .^, ov 1 1 



A^ = i-^-j^ (A44) 



y cos^ 20. 

 i=l 



n 



y F (0.) sin 20. 

 . ^T ov 1 1 

 1=1 



"1 - 



n 





y sin^ 20. 

 i=l 





n 



^1- 



. ^, OV^ 1"^ 



1=1 



n 



n 



y F (0.) cos 0. 

 . ^ -, ov 1 1 



(A45) 



(A46) 



D^ = i^-i-^:^ (A47) 



y cos^ 0. 

 i=l 



132 



