THE DISTURBED MOTION OF AN AEROPLANE 221 



to m . a and /3 cannot be greater than 4. They may differ from 

 the similar symbols of the symmetrical solution (see pp. 217-219). 



.'. w = the real part of [2 s (a s e A s l ) . W,(Xs) + 2(a" + a/'t + 

 ...a'* a _^_ I t a - e - I )e m ot.w,(m )] 



P oe m o t r 



- the real part of 2^^j[ W,«(m ) + oW^-^m^t . + 



- the real part of {2 A'"»i' P e m s ,t , 2 » v y p , e m' S2 t 



s 3 A(m" S3 ) 



2 * v ^p",e m Vt 



Again' /? may be zero. 



p = the real part of [2{(a s e Ast ) . P/X,). } + 2(a " + a/'t 

 + ...a" a _^_ I t a -^- I )e m otp i(mo )] 



P e m o t ( 



- the real part of 2^^- ) |P l a (m ) + aP* -1 ^)! 



+ a(a " I / ) ;:/ ,+I) -p,^o)t a -^} 



- the real part of [_ 2 ^-g- P Si e ., . + \ % ^q • P s ,e « 



+ 2 S3 A(m" S3 )^^ 3 J 

 q = the real part of[2 s {(a s e x s l ). Q/Xg)} + 2( a " + a/'t 



+ . . . a" a _/r-it a -' 5 "- 1 ) • e m o l . Q,(m ) .] 



Poe^r 



- the real part of 2 £=7^-)\Q, a ( m o) + a Q. a Vo) 1 • 



+ ••• /a-/3" ^> ^ mo)t J 



- th e re a, P a r ,o f [7|^P«,e-,. + ^?gp^V 



Again the coefficients P" s (not cofactors), the m's, m , \ , the a's, 

 as, and /3's are not necessarily those of the symmetrical 

 vibrations. 



The cofactors of the determinant are known from page 220. 

 Here, again, we see that the forced oscillations can be magnified. 



