56 The Rev. Samuel Haughton on the Solar and Lunar 



Eange of Lunar Tide at High Water = h- 0-35 ft. 

 Range of Lunar Tide at Low Water = I = 0-53 ft. 



Hence, by equation (3), 



0-530 



cot(m-L) = ^rT^=cot(5G° 34'), 



•which, converted into time, gives 



m - i,„ = 3" 54"' ; 

 but m, the Moon's Hour-angle at High Water in Caherciveen time is 3'' 48"', 



and, therefore, 



/„. = 0* 6"*. 

 By equation (4), we have 



Max. value of 2M sin 2/. = \/(0'35)^ + (0-53)' = 0-635 ft. 



From which we obtain 



ilf= 0-480 ft.; 



and since the maximum value of the Solar Tide at High Water is 0-245 ft., we 



have by equation (5), 



Max. value of 2^5 sin 2a = 0-490 ft, 

 therefore, 



5 = 0-335 ft. 



Combining together the preceding results, we have the following Tidal Con- 

 stants for Caherciveen: — 



1. Lunitidal Interval = 0'' 6". 



2. Solitidal Interval = 3' 28". 



3. Age of Lunar Tide at High Water = 5" 4\ 

 Age of Limar Tide at Low Water = i'' W. 



4. Lunar Coefficient = 0-480 ft. 



5. Solar Coefficient = 0-335 ft. 



6. Ratio of Solar to Lunar coefficient, 



or -^^ = 0698. 

 M 



The Solar and Lunar Tides were constructed from the preceding constants, 

 and compared with the observed Tides. The results of this comparison are con- 

 tained in the following Tables : — 



