Devn 



For lack of results concerning the case when s(t) is a 

 gaussian process with any autocorrelation function we use the asymp- 

 totic expression given by the assertion . This expression permit us 

 to give the stability criterion of equation (III- 3 . 1) 



(in-3.1) zp (I .lj 



S ss {21f P )< ~Z 



For all types « 1 hence 



4 



(III -3. 4) 



S ( 2 £ P ) 



2/3 



ss 



This stability criterion may be written in another form by 

 the following transformations : 



A S " (f> 



indep . of H 



H p ( 2 77 if ) = transfer function of relative motion 



(III-3.4) becomes 



/TTT „ r , H < K (Tv , i<p) .—- 

 (111-3. 5) v z v > Y i ,2G\ 



=*"* 



a) Npp°' 



mg 



K z (Tv , Ip) = - 



Vs'ss (2 ip) 



K (T , f p ) depends on T , f ^and on the heave characteristics of 

 s v * ' *" v 



the buoy . 



1066 



