58 The Rev. S. Haughton on the Solar and Lunar 



II. Diurnal tide in height at low ivater. 



1. Maximum valueoflunarti(leforpositiveheigbts = 0-230ft. 



2. Maximum valueoflunar tide fornegativeheights = 0'300ft. 



3. Maximum value of solar tide =0"245 ft. 



4. Diurnal solitidal interval -2>'^ 28^. 



5. Age of lunar tide =4^ 17''. 



Adding together the first two of each of the preceding series 

 of values, we find, — 



Range of lunar tide at high water =A = 0'350 ft. 

 Range of lunar tide at low water =/ = 0"530 ft. 



Hence by equation (3), 



cot (m-i„0 = ^ = cot (56° 34') ; 



which, converted into time, gives 



7w_z^ = 3l» 54"°; 

 but m, the moon's hour-angle at high water in Cahercivcen time, 

 is S'' 48"!, and therefore 



4=0'^ 6°!. 

 By equation (4), we have 



max. value of 2M sin "2/i= ^/ (0-35)2 + (0-53f = 0-635 ft.^ 



from which we obtain 



M = 0-480 ft. 



And since the maximum value of the solar tide at high water is 

 0-245 feet, we have, by equation (5), 



max. value of 2S sin 2(r= 0-490 ft. ; 

 therefore 



S= 0-335 ft. 



Combining together the preceding results, we have the follow- 

 ing tidal constants for Caherciveen : — 



1. Lunitidal interval =0'^ Q^. 



2. Solitidal interval =3^ 28"i. 



3. Age of lunar tide =5'' 4'^ at high water. 



do. do. =4'* 17^ at low water. 



4. M = 0-480 ft. 



5. S =0-335 ft. 



6. Ratio of solar to lunar coefficient, 



or 1 = 0-698. 



The solar and lunar tides were constructed from the preceding 

 constants, and compared with the observed tides. The results 

 of this comparison are contained in the following Tables. 



