3x 32 (8) 



for east-west notion. 



Considering a free oscillation of inertial type, the wave particle 

 velocities in the x 3 y, and z directions are: 



U. = <5 ( A cos -£- ■+ 6 *in V- J 



(9) 



v , fi i^^ c « ■** ■* d *;* «?») (io) 



Wa e^^«fnf (11) 



where 0~~ rrT is the frequency,, 

 "T 



To these must be added the driving force 



_ iCkx-i-CFfc;) /- ^TT2r ^ . KTPB-\ 



P =■ e ( Pesos l t~~ ■+■ « 3«^ — — J # 



r v. j, h / (12) 



The solution of equations 9, 10, 11, and 12 for the unknowns A through. 

 G is accomplished by substitution in (7) and by the combination of terms 

 to separate the coefficients of the sine and cosine factors. Since the 

 sine and cosine are linearly independent, their sum must be zero e Hence, 



(f a 4- Lira) cos *Jp + CfB ■* Lo-D) 5/n "-f = o (llt) 



( LKA+ -^ &Jc°s "j^"- 4 " tk&-5fn -pr =0 



