108 The Rev. Samuel Haughton on the Solar and Lunar 



Range of Lunar Tide at High Water = 0-625 ft. 

 Range of Lunar Tide at Low Water - 0-670 ft. 



Hence, by equation (3), 



0-625 

 cot {m - L) = ^^^ = cot (47°), 



or, converting the arc into time, 



VI - i„ = 3" 14" ; 

 but since m is the Moon's Hour-angle, in Kingstown time, at High Water, and 

 is equal to 10* 53""; "we find, 



i„ = 7» 39"-. 

 By equation (4), we have 



Maximum value of 2if sin 2/i = y(0-625)^ + (0-670)^ = 0-916 ft. 



From which we obtain 



J/= 0-690 ft. ; 



also, since the maximum value of the Solar Tide is 0-255 ft., we find, 



Max. value of IS sin 2(7 = 0-510 ft., 

 and. 



5= 0-348 ft. 



Combining these results, we obtain as Tide Constants at Kingstown :— 



1. Lunitidal Interval = 7" 39". 



2. Solitidal Interval = 10" 26"". 



3. Age of Lunar Tide at High Water = 6'' 17*. 

 Age of Lunar Tide at Low Water = A^ 11*. 



4. Lunar Coefiacient = 0-690 ft. 



5. Solar Coefficient = 0-348 ft. 



6. Ratio of Solar to Lunar Coefficient, 



or 4^= 0-504. 

 M 



The Theoretical Tides were carefully constructed with the foregoing Con- 

 stants, and compared with the observed Tides. The results of the compari- 

 son are contained in the following Tables: — 



