22 U. §. COAST AND GEODETIC SURVEY 
(Ag.) -+sin 27 { (1/2+3/4 e?) cos (T+h—90°—7)_______- [Ky] 
(Ag3) +3/4 e cos (T—s+h+p—90°—7)_____-__- [Mi] 
(Ao,4) +3/4 e cos (T+st+h—p—90°—y)________- a 
(Ags) +9/8 e? cos (T—2s+h+2p—90°—p) 
(Age) +9/8 e? cos (T-+2s+h—2p—90°— 1) 
(Ao7) +45/32 me cos (T—s+3h—p—90°—p)____- X1 
(Ags) +45/32 me cos (T+s—h+p—90°—y) _____ 6, 
(Ago) +3/4 m? cos (T—2s+3h—90°—v)________- MP, 
(Azo) +3/4 m? cos (T+2s—h—90°—») }___------ SO; 
+sin I sin? 4J 
(A31) { (1—5/2 e?) cos (T+2s+h—90°—2¢—v)___ OO; 
(Ago) = f)/2€°Cos (LoS p90 2 2c 1) ayy 
(Ags) +1/2 e cos (T+s+h+p+90°—2é—v) 
(A3,) +17/2 e? cos (T+4s+h—2p—90° —2é—v) 
(A335) +105/16 me cos (T+3s—h+p—90°—2é—v) 
(Ase) +15/16 me cos (7-+s+3h—p+90°—2é—»p) 
(Az7) +23/8 m? cos (T+ 4s—h—90°—2é—p) 
(Ags) +1/8 m? cos (T+3h—90°—2é—») }] (63) 
69. Formula for semidiurnal constituents of vertical component of 
principal lunar tide-producing force: 
Jia) |= BP) (ORCORMICN< 
(As9) [cost 41 { (1—5/2 e?) cos (2T—2s+2h42&—27) __-. Maz 
{Ao +7/2 e cos (2T—3s+2h+p+2——2y) ._-_- No 
(Ay) +1/2 ecos (2T—s+2h—p+180°+2~—27) _ [L] 
(Ax) +17/2 e& cos (27T—4s+2h-+2p+2&—2v) _.. 2N, 
(Ags) +-105/16 me cos (2T—3s+4h—p+2é—2y) - V2 
(Ags) +15/16 me cos (2T—s+p+180°+2——2y)_ ge 
(Ajs) +23/8 m? cos (2T7—4s+4h+2—&—2r) ____- Me 
(Aye) +1/8 m? cos (27-+2&—2y)} 
(Ay) +sin?I{ (1/2+3/4 e?) cos (2T+2h—2y) ____-------- [K3] 
(Ays) +3/4 e cos (2T—s+2h+p—2v) ___--.---- [Lo] 
(Ag) +3/4 e cos (27-+s+2h—p—2y) _-.------ KJ2 
(A50) +9/8 e? cos (2T—2s+2h+2p—2v) 
(As1) +9/8 e? cos (27+2s+2h—2p—2y) 
(Asp) +45/32 me cos (2T—s+4h—p—2yp) 
(A53) +45/32 me cos (2T+s+p—27) 
(A54) +3/4 m? cos (2T7—2s+4h—2yr) 
(Ass) +3/4 m? cos (27+2s—2y7)} 
(Ase) --sint LI{ (1—5/2 e2) cos (27-+2s+2h—2&—27) 
(As7) +7/2 e cos (27+3s+2h—p—2é—27) 
(Ass) +1/2 e cos (27-+s+2h+p+180°—2£—27) 
(Asp) +17/2 e& cos (27+4s+2h—2p—2é—2p) 
(Ago) +105/16 me cos (2T7+3s+p—2é—2?) 
(Agi) +15/16 me cos (27+s+4h—p+180° —2&—2y) 
(Ago) +23/8 m? cos (27-+4s—2&—2y) 
(Ass) -+1/8 m? cos (27+4h—2£—27) }] (64) 
70. Arguments —Except for the slow changes in the values of J, &, 
and v which result from the revolution of the moon’s node, each term 
other than the permanent one in the three preceding formulas is an 
harmonic function of an angle that changes uniformly with time. 
This angle is known as the argument of the constituent, also as the 
equilibrium argument when obtained in connection with the develop- 
