64 The Eev. Samcel Haughton on the Solar and Lunar 



I.— Diurnal Tide in Height at High Water. 



1. Maximum value of Lunar Tide for Positive Heights - 0-20 ft. 



2. Maximum value of Lunar Tide for Negative Heights = 0-28 ft. 



3. Maximum value of Solar Tide = 025 ft. 



4. Diurnal Solitidal Interval =^ 2* 52'". 



5. Age of Lunar Tide = 4" 9'. 



ll.—Diiirnal Tide in Height at Low Water. 



1. Maximum value of Lunar Tide for Positive Heights =0-30 ft. 



2. Maximum value of Lunar Tide for Negative Heights = 0-40 ft. 



3. Maximum value of Solar Tide = 0-25 ft. 



4. Diurnal Solitidal Interval := 2'^ 52"-. 



5. Age of Lunar Tide == 4" 9\ 



Adding the first two of each of the preceding, we find 



Range of Lunar Tide at High Water = 0-48 ft. 

 Eange of Lunar Tide at Low Water = 0-70 ft. 



Hence, by equation (3), 



cot (m - z,„) = ^pyq = cot (55 ), 



or, 



»H-i„. = 3M7'»; 



but since m, at High Water, is the Moon's Hour-angle, west of Bunown Meri- 

 dian, and is 4" 18"", we find, 



j„ = 0" 31"". 



By equation (4), we have 



Max. value of UI sin 2,^ = ^/(0•48y + (O-TO)'^ = 0-848 ft. 



From which we obtain 



M^ 0-646 ft ; 



and since the maximum value of the Solar Tide is 0-250 ft., we have by equa- 

 tion (5), 



Max. value of 25 sin 2(t = 0-500 ft, 



and, therefore, 



5=0-342 ft. 



Combining these results, we have as Tide Constants at Bunown: — 



