34 Mr Hicks, On two pulsating spheres in a fluid. [Nov. 22, 



except for /i , from which the portion belonging to B { is zero for 

 every i except 0, and 



In the same way is found 



n « x n « 



Let A!, A'.', B[, B" be the parts of A { , B ( depending on the 

 pulsations* of A, B respectively. Then /u, n+l is the image of v n and 

 v = a% 



. , a 2 v „ ^„ v' ( 1 1 , a- ') 

 A ' = a 2 vl 1 -M -, log -4, 



tfVv „ t -.y.'fl 1 (I 1 M . 



C 1+1 v [a; 1 (a n - a ) \<r n * n ')) 



R ,_ a*v^p,:< 1 Pn {+i -p,r 



6« 1 „ # y. ; +1 pn _ p ; 

 Also 



A Q - = - & 2 wsr ^ I- - -^— ^g ^] , 



u„ [<r cr — cr cr \ 



™0 \ n »» n n / 



B " = — 5w, 



r'- ft f- »+i />,. -ft J 



By means of formulas given in a paper in the Transactions of 

 the Royal Society, 1880, Pt. 11., p. 465, the values of p, cr, fi, v 

 can be expressed in terms of the radii of the spheres and their 

 distance. 



