134 The Rev. Samukl Haughton on the Solar and Lunar 



friction, the phase of High Water is accelerated by an interval equal to the 

 difference between the Tidal Interval and the period of half a Tide Oscillation. 

 Subtracting, therefore, the Lunitidal and Solitidal Intervals from 12* 24"", and 

 12'' respectively, we find the accelerations. In this manner, the first two columns 

 of the following Table are constructed, and the depths calculated by a method 

 which will be explained: — 



Accelerations of High Water of Lunar and Solar Diurnal Tide. 



According to the Theory of Tides, including Friction,* the acceleration of 

 High Water is represented by 



/ 



where 



P — gkm' 



f= coefficient of friction, 



i — angular velocity of luminary, 



^ = 32 ft. 



k = depth of the sea, 



27r 

 m= -— , 



\ = length of tide wave. 



Hence, comparing the Lunitidal and Solitidal accelerations, we find, 



Lun itidal Acceleration _ i"' - (/km^ 

 Solitidal Acceleration ~ i^ - gkm' ' 



• Vide Airy's " Tides and Waves," p. 332. 



(10) 



