^t ~f(v-V«)*~k 



(1) 



where 



f k the Coriolis parameter, 

 V s the velocity vector, 

 Uj s the geostrophic velocity vector, and 

 k s the unit vector in an upward direction, 



Substituting 



V 9 -V go +ciV g =V 3o + (ds.v)V go 



since every velocity vector may be represented by the initial velocity 

 plus an increment due to the acceleration, the resulting equation is 



— » 



Separating this equation into the components of velocity u and v gives 



at 



%. * fl(yx"'f)dy + ^f <** -^Uo-u 6o )] =7 





(3) 

 (U) 



where 



dx. = Perturbed displacement eastward, and 

 «*y ■ Perturbed displacement northward. 



