GENERAL CIRCULATION OF THE PACIFIC OCEAN 535 



and 



Y^ = N^ + 0.3172231A^ — 0.0501698A^6 + 0.0180624Ars 



- 0.0086497^10, 



Y^ = N^ + 4.1262613iV, + 1.5874177iVe - 0.259786LV8 



+ 0.0995609iVio. 

 Y^ = N^ - 5.4990870A^, - 23.8405548Ar6 - 10.3129949^8 



+ 1.6109253A^io, 

 Fg = AT, - 3.0874234^4 + 13.8285447A^6 + 68.6295877^8 



+ 33.3180647Ario, 

 Y^o = N. - 2.5712654Ar, + 6.427 1377iV6 - 25.6939046^8 



- 160.9722444Nio. (66) 



If the 10 functions Y^^, Y^, ■ . ., Y-^^ can be determined by solving 

 the differential equations (63) and (64), it will be possible to compute 

 ^1 (A.; -q), No (A; -q), . . ., A^io (A; r;) from the following expressions which 

 are the reversions of the expressions (65) and (66). 



iVi = + 1.0650221Fi — 0.0587869673 — 0.00491292^5 



— 0.0010381747, — O.OOO284IOIF9, 



Ns = — 0.2793058Fi + 0.2586992 F, + 0.0164443175 



+ 0.0032831447, + 0.0008790727^, 



N, = + 0.12544347i — 0.0771153273 — 0.0405049575 



— 0.0062511737, — 0.00157197079, 



N, = — 0.059698487i + 0.0336796973 + 0.0108329975 



+ 0.012659007, + 0.00252678879, 

 iVg = + 0.023209697^ — 0.0126416773 — 0.00364239375 



— 0.0023657087, — 0.0045549067o. (67) 

 and 



N^ = + 1.11721407^ — 0.10289577.i — 0.010928376 



— 0.002615678 — 0.00077457io, 



N, = ~ 0.338597772 + 0.30660917, + 0.02479857e 



+ 0.005579278 + 0.00161077io, 



Ne = -\- 0.16139197^ — 0.09432207, — 0.054846476 



— 0.009617178 — 0.00260647io, 



ATg = _ 0.079299572 + 0.04207477, + 0.014758176 



+ 0.018466478 + 0.004000 17io, 

 N^^= + 0.031450472 — 0.01601867, — 0.005009576 



— 0.003436978 — 0.00698537^0. (68) 

 Substituting the functions A\ (x; 7;), N.(x;r]), . ■ ■, A\o (^; 77) thus 



obtained in (30), we shall obtain the expression for ^^ (x, y; 77). Further 

 substitution in (29) will give the solution of the problem as 



00 



^(^^)'^^)= -^X^'^^^y) J^A^m(^;v?)cos J-J^vjdr]. (69) 



