Murthy 



As explained earlier this discontinuity in the potential is due 

 to the pressure in the cushion and may therefore be assumed to be 

 of 0(0 ) . 



Now ty (x, y, z) is an even function of y , i. e. ^ ( £ ,V , f ) is 

 an even function of V , so that 



and 



^b = *-b 



*: 



* 



-b 



+ 



The "jumps" in the potentials from the IFS to the EFS across the 

 hulls 



and 



[*]„ =v- * 

 [*] =v* 



L -Lb "'t- 



will therefore be the same at corresponding points ( £,£ ) on the 

 longitudinal planes. 



The terms involving the delta -functions will therefore cancel 

 with each other, but such a cancellation will not be possible in the 

 case of the "jump" terms as the value of £ — will be different on the 



two longitudinal planes rj = + b , so that 



du 



jj4 « -St 



* 



b+ 



~^G (x, y, z;£ , 17 , f ) 



bv 



1 T 2 



bG (x, y, z;£ , V , f ) 



d*'df' 



(V. 15) 



V--b 



where the integration is now reduced to one side of the longitudinal 

 plane of S^ which is geometrically similar to that of S 2 . 



The domain of integration is given in the body-fixed system. 

 The Green's function, however, is given in the moving system, but 

 can be expressed on the longitudinal planes in the (x 1 , y', z 1 ) system 

 by a Taylor series 



234 



