420 



ACo)' ^^.. -(v)(8,^-(3) -D.^ 



a. 



(C-4) 



giving 





CO, 



(C-5) 



It is obvious tliat ^^ and ^^ are real and that p^ is f)ositive; (^ is 



positive if 



> 0, v^ich can be easily verified. 



For the case of A = 2,75 (corresponding to the UERL diaphragm), 



3„ = 0.528 

 ^11* Ba, = 0.0328 

 S^^ = 0.0563 



^J'/^/^ = (^, =0.5286 to* = 1.382 w^ 

 ^e/«*'f * = (?z = 0.5513 ^t= A.305co^ 



It is apparent that if the nondiagonal terms Q i^ and D^, in 

 were neglected, one would obtain for tiie roots (3, and (b^ , the values I3„ 

 and which differ little from the values actually obtained for the roots. 

 Compare the numerical values given for ^, and 8„ , and (>^ and 13ij^ above. 

 This means that the interaction terms B,j_ and O^, cause only small pertur- 

 bations in the frequencies u> and (O^ . The coefficients 0^-£ are 





101 



