442 Effect of Radial Forces in opposing Distortion. 



where 



,_ 1 gp 3\ + 2(w + 3)/a 2 

 flK -3X + ^ 2^ + 3 fl- ' 



°»--X-l-2/A"2n+3' 



The above two terms should replace two similar terms given 

 in the boundary condition in Love (Art. 177). The values 

 of the coefficients differ, however, from those in Love's 

 work. 



In order to express the functions Q n +i in terms of the 

 potentials of the given forces it is necessary to equate the 

 radial displacements found in the problem, measured from 

 the mean sphere, to the assumed displacements, viz. 2e n Q n+1 . 



Now the radial displacement is -. {xu + yv + zw\ t and the 



part contributed to this by the differential terms of the radial 

 forces is 



The value of this at the surface, where r=a, is 

 gpa g w + 4 n 



The corresponding terms in Love (Art. 177) are 



(A + 3Ha 2 )2e n Q n+1 . 

 where 



H=i —IP 



A=- ^^Ha 2 . 

 3X + 2/A 



Substituting these values for A and H the above terms 

 become 



P9 a 2 ^ y fi o 



\ + 2fi 5(3\ + 2/a) 



which again differs from the expression I have found above. 

 The error here arises from the same misconception concerning 



