HARMONIC ANALYSIS OF TIDAL OBSERVATIONS. 87 
On referring back to the paragraph in § 5 m which the treatment of 
the K, and K, tides is explained we see that for K, ; 
Ss TANG 
— = 4.64 ko, 
uM 07 x ks 
and therefore from (44) we see that for Ky 
a 1-46407 
f_ $1+ (046407 x ko)? +U'92814i, cos 2r}# : 
ES a) 205" . . (36) 
sin 2y 
t n 2 yl ——$$____—_______ 
bac ate cos Z2v+ 46407 ky 
And for K, the similar formule hold with &, in place of /, and » in 
place of 2y.' 
Tables of 1/f and »’, 2’ for the K, and K, tides may be formed from 
(56). 
The angle I ranges from 18° 18/°5, when it is w—i, to 28° 36/1, when 
itis w+7. 
Then for any value of N we first extract J, and afterwards find the 
coefficients from the subsequent tables. 
The coefficients for the over-tides and compound tides may be found 
- from tables of squares and cubes and by multiplication. 
Formule for s, p, h, p,, N. 
The numerical values may be deduced from the formule given in 
Hansen’s Tables de la Lune. The following are reduced to a more con- 
venient epoch, and to forms appropriate to the present investigation. 
s=150°-0419 + [13 x 360°+ 132°-67900] 7'+ 13°-1764 D° 
+ 0°°5490165 H 
p=240°'6322+4 40°-69035 T+0°1114 D+0°:0046418 A 
h=280°'5287+360°-00769 T+ 0°'9856 D+ 0°:0410686 PRON Heb’ (27) 
p,=280°'8748 + 0°-01711 T+ 0°:000047 D 
N =285°'9569— 19°-34146 T—0°-0529540 D 
Where 
T is the number of Julian years of 3653 mean solar days, 
D the number of mean solar days, 
H the number of mean solar hours, 
after 08 Greenwich mean time, January 1, 1880. 
From the coefficients of H we see that 
o=0°'5490165, am=0°-0046418, n=0°0410686 . . (58) 
whence y=15°:0410686. 
} This method of treating these tides is due to Professor Adams. I had proposed 
to divide the K tides into their lunar and solar parts.—G.H.D. 
