GENERAL CIRCULATION OF THE PACIFIC OCEAN 531 



' ^'^'' 4i. - 16M,(^) + 8M,o(cA) (. 



„ 3 1+ l2M,{cl>) - 24M,(^) + 111M,(</,) I 



' ^*^^ "41 + 24Af3(0) - 12M,o(<^) f, 



3.1 - 16M,(</>) + 32M,(,^) - 48Me(.^) I 



' ^"^^ - 4 1 + 211Ms(<^) + 16M,o(c/>) I, 



3 1 20M, (0) - 40M, (</.) + 60Me (<^) I 



^1 10 ('^) — 4 ^ _ soMg (</>) + 343M,o (c/.) (. 



(45) 

 Substituting (44) and (45) into equation (43), and evaluating the 

 numerical values of their coefficients with R = 6.3712 X 10* cm, pa = 

 0.000075 sec-i and 



Ai = 3.08 X 10^ c.g.s., (46) 



we have for odd series 



9 (N, — SiVg + 5A^5 — 7Ar, + 9N^ 

 D (N,) + 4747600^2 x — _ 0.548249 x lO^o = 0, 



9 (8^1 + 207V3 — I57V5 + 21iV7 — 27iV9) 

 D{N,) + 4747600,^2 x -^^ _ 3.63163 X lO^" = 0, 



9 (— 6A^i + I8N3 + 69^5 — 35A^7 + 45iV9) 

 D{N,) + 4747600,^2 x— ^ + 6.35413 X lO^o = 0, 



9 (+4iVi — 127^3 + 2ON5 + 148iV7 — 63A/C,) 

 D{N,) + 4747600,^2 x — y + 9.193OO x lO^o = 0, 



9 (— 2A^i + 6A^3 — lOATg + UN, + 257^^) 

 D{N,) + 4747600,^2 x-y^ _ 1.096499 x IO20 = 0, 



(47) 

 where the operator D stands for 



For even series, we have 



D(N\ 4- 4747600.2 x — - (+'^^2 - SN, + 12^6 - 16iV3 

 D{N,) + 4/4/6UU,; X ^ _^ 20 N,,) + 5.45179 X IO20 = 0, 



D(N) A- 4747600„2 x -^ (+16^^ + 43iV, - 24N, + 32N, 

 D{N,) + WJbWrj X ^ -40Ar,o) + 3.59829 X lO-o = 0, 



D(N) A- 4747600r,2 x -^ (-^^^2 + 24N, + llliVe - 48Ar3 



nfN\ 4- 4747600 2 x -^ (+^^2 - l^N, + 24iVe + 211iV8 

 D{Ns) + 4747600,; X 4 ' _ gOAT,,) + 7.09512 X IO20 = 0. 



n W ^ 4- 4747600 2 X — ^- (-'^^2 + SAT, - 12A^e + leiV^ 

 D{N,o) + 4/47600,, X 4 ' + 343Ar^^) _ 3.54756 X IO20 = 0. 



(49) 



