Ogilvie 

 Furthermore, 



00 — , , 



1 f K(aj )daj 



i J OJ' + 



K(-co) zz - -L ± ^ ' = K(co) 



Finally, we express the real and imaginary parts of these equations separately 



_ 1 r_ — 1 1 r" co'KC co' )dco' 



K.(w) = -^ K(a;) + K(a;) = - -^r -f \ - 



- CD 



2 f co'K^(u)*)dcL>' 



1 



' 2 2 



<^ ' - ^' 



if- = 1 w f K(co')da)' 



From (16), we substitute the definitions: 



and this leads immediately to (17). 



* * * 



PROBLEM AREAS IN SHIP MOTION RESEARCH 



Willard J. Pier son, Jr. 

 New York University 

 New York, New York 



INTRODUCTION 



There are a number of subjects that were not covered by the various papers 

 on ship motions given at this symposium. Three of the subjects are: (1) Ships 

 in short crested waves, (2) coherency and resolvability of spectral and cross 

 spectral shapes, and (3) the solutions of specific problems that are nonlinear. 

 It is the purpose of these comments to discuss these subjects and their rela- 

 tionship to the papers that were presented so as to complete the record of this 



80 



