194 

 and 



BELL SYSTEM TECHNICAL JOURNAL 



fjiXiX^Rg + RpX2{X, + X3) + RgX,{X2 + Xs) = (12.63) 

 It will be assumed that the following relations exist: 



M = MV), Rg = /2(a), Xs = Xi + X2 + X3 = Mco), i?p = a constant 



Fig. 12.24 — Equivalent oscillator circuit analyzed for frequency stability 

 Then we obtain from (12.63) 



AdV ~ fjidV 



IdA ^ J_dRg[ 

 A da Rg da [_ 



i M = i_ ^1 r 



A do: Xi dw |_ 



dV 



1 + 



1 + 



+ 



1 de _ _\ BRg XoRt 



J da ~ ] 



] 



X2 -\- Xs _ _ 



11X2 J da Rg da nXiXz 



i?pX2 + Rg(X2 + X3) 



nRpXi 



Rp{X2 + X,) +R gX 

 iiRp X\ 



+ T 



j_aX2r 



X2 dcjo [_ 



1_ 6X3 r Xs{RpX2+RgX{) l 



^3 5w [_ llRp X1X2 J 



■] 



(12.64) 



dd 

 do} 



fiX iX2\_ 



Xi d(ji 



+ (X3 - X) ^ '/'I 



A3 000 J 



X2 5co 



