14 
REV. S, HAUGHTON ON THE TIDES OP THE 
Table YI.— (B 2 ). 
“0 
«i 
ft 
inches. 
inches. 
inches. 
+ 3-6 
+ 5-2 
— 15-2 
+ 4-1 
+ 6*3 
-15-2 
+ 5-1 
+ 8-0 
— 14-3 
+ 6-2 
+ 9-5 
— 12-4 
+ 7’2 . 
+ 9'9 
-- 9-2 
+ 7-5 
+ 9-8 
-10-8 
+ 7-0 
+ 10-4 
-107 
+6-4 
+ 11-5 
— 11-2 
+ 6-8 
+ 12-9 
— 11-2 
Mean+6‘0 
+ 8-2 
— 12-2 
These results are to be compared with the expansion of the formula for the Semi- 
diurnal Tide, viz. 
M'cos 2 (m—i m ) -J-S'cos 2 (s—i s ) (45) 
from which we obtain as before, writing 
m=s+m — s 
A 2 =M' cos 2(m— s— C) + S' cos 2 i s 
B 2 =M' sin 2(m— s — &’,„) + S' sin 2 i s (46) 
where 
Neglecting the eccentricity of the Lunar Orbit, for a first approximation, we have 
M'=M(cos 2 /x= M(l— sin 2 I sin 2 (v—n)) 
= M(1— 0 - 215 sin 2 (v—n)) 
= M(0 , 89-f-0 , ll cos 2 (v—n)) 
or since w=247°, 
M'=M(0-89-076 cos 2v+0‘79 sin 2v) (48) 
We have also 
2 (m—s )— 2 i m — — 2 (m' — s ') — 2 i m 
= —2(m'—c)-\-2(s'- c—i m ) 
= - 2 (m -c) + 2 (f> 
where as before 
(f>=s' —c—i t 
(49) 
