HARMONIC ANALYSIS OF TIDAL OBSERVATIONS. 89 
(1.] 
Schedule of Arguments at 0% of the first day, and Factors for Ensuing Year. 
Tnitial Arguments. Factors for Reduction. 
Viotu i 
zero unity 
—h,+4n unity 
—(ho— pi) unity 
(ho—v) — (8, - £) + Q—3r Ly Yes 
where tan Q=4 tan P Haasan (ease 
Pa EE is a cos $w cos 31)" 
2(h.—v) —2(#,—£) eee 
3 Arg. M, (Fac. M,): 
2 Arg. M, (Fac. M,)? 
3 Arg. M, (Fac. M,)8 
4 Arg. M, (Fac. M,)4 
146407 
2h, —2v!’ 
J {1+ (464 x k)?+°928k cos 2v} 
sin? w (1—$ sin? 7) 
Rese! Seen! Wl 
sin 2r 
where tan 2v//= 
cos 2v+°464 xi} where k= 
jp Sean = 146407 
x : v {1+ (464 x k)?+°928 & cos v} 
Meri SI Hin 1s ENS on 
cos »+°464xi | where p= Sin 2u(L- 2 Sin? a) 
where tan » = 
sin 21 
Arg. M,—(*,—p,) Fac. M, 
Arg. N—(s,—p,) Fac. M, 
Arg. M,+(s,—p,)—R+7 
where tan R= sin 2P Fac. M,+ /1—12 tan? $1 cos 2P 
¢ cot? $I —cos 2P 
Arg. M,+(s,—p,) +2h,—2s, Fac. M, 
