GENERAL CIRCULATION OF THE PACIFIC OCEAN 539 



Then we have 



2h 



fPM cos (^)rf, .F, j^cos {-^J>y, 



j;cos(~^)d. 



Zh 



- 3Fo + 4F, - F, 



+ 



2h 



2/1 



Fo - 2F, + F, 

 + - 



2A= 



j;=co. (^■>)a 



2^ 



Jf(7^)cos (■^'?)^T=^ (a, -36,+ f,)^o 

 + (4&,-2c,)Fi + (6i + c^F^ 



where 



2^ 



V2dJ 



2/1 

 2/i 



For larger values of 77, we may express F (?;) in the form 



^ (v) = -^0 H 2^ ('^ ~ "^"^ + 2h2 (v — Vo) ' 



where F_^ Fq and F_lx are the values of F (rj) for t^q — h; 770 and 770 

 + h respectively. We have then 



F(v) cos {^"i) ^"^ = (- ^2 + C:)^-i + (% - 2c2)Fo 

 '^ + (^2 + ^2)^^+1 (87) 



