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



Hence by equation (3), 



cot (»i-«,„)= q:^ = cot (55°), 

 or 



but since m, at high water, is the establishment expressed in 

 Bunown time, and is 4'' 18"", we find 

 4 = 011 31"». 

 By equation (4), we have 



max. value of 2M sin 2^= \/ (0-48)2+ (0-70)2 = 0-848 ft. ; 

 from which we obtain 



M = 0-646 ft. 

 And since the maximvim value of the solar tide is 0-250 feet, we 

 have, by equation (5), 



max. value of 2S sin 2o^= 0-500 ft., 

 and therefore 



S = 0-342 ft. 

 Combining these results, we have as tide constants at Bunown, 



1. Lunitidal interval =0"^ 31" 



2. Solitidal interval =2i» 52™. 



3. Age of lunar tide 



at high water =4'l^9ii. 

 at low water =¥^9^. 



4. Lunar coefficient =0-646 ft. 



5. Solar coefficient =0-342 ft. 



6. Ratio of solar to lunar coefficient, 



or ^ =0-529. 



The solar and lunar tides at Bunown were constructed from 

 the foregoing constants, and compared with the observed tides. 

 The results of the comparison are given in thefollowing Tables: — 



Bunown Tide, Table A. 

 Positive heights at high water for thirteen lunations, from 1851, 

 January lO^ 16^ 42% to 1851, December Sl^ IP 36'". 



