132 The Eev. Samuel Haughton on the Solar and Lunar 



Diurnal Solar Coefficient _ ^^^ ^ 713 _ Q.^g^ 

 Diuraal Lunar Coefficient 691 



a result, whicli although sensibly diiFerent from the value deduced from obser- 

 vation, viz. 0-5305, yet is not inconsistent with it ; and inasmuch as it is greater 

 than 0-35, the Semidiurnal Coefficient, it lies in the right direction, and is so 

 far a confirmation of Theory. 



If, on the other hand, we calculate the Semidiurnal ratio of Coefficients from 



equation (8), by substituting in it for -, its value —^, deduced from the Diur- 

 nal Observations, we find. 



Semidiurnal Solar Coefficient _ 194 _ q.^qo ■ 



Semidiurnal Lunar Coefficient 216 



a result which differs considerably from the mean value, 0-35, deduced from 

 Mr. Airy's Observations. 



If we compare the results just obtained from the Diurnal Tide Observations, 

 with the results deduced by Laplace from Semidiurnal Tides observed at Brest, 

 we shall find that there is a very striking agreement. In the Mecanique 

 Celeste, torn. v. p. 206 {Paris, 1825), the ratio of the Semidiurnal Lunar 

 Coefficient to the Solar Coefficient, deduced from observation, is stated to be 



2-35333, from which Laplace infers the Moon's mass to be yj^; from this 



result we find, 



Semidiurnal Sola r Coefficient _ 1 _ a. 49494 

 Semidiurnal Lunar Coefficient 2-35333 



a result almost identical with that just deduced from our Diurnal Constants, 

 viz., 0-422. 



If we substitute Laplace's ratio in equation (8), we find, 



425 323 - 100000 -^ 



345 - 100000 - 

 b 



from which we deduce 



