130 The Rev. Samuel Haughton on the Solar and Lunar 



^ (Semidiurnal Tide)= 359551 x 63, 

 M 



^ (Diurnal Tide) = 359551 x 95. 

 M 

 It „m be seen from 4e foregoing results, that the mass of the Moon as com- 

 rlawUh that of the Earth, ded.ced fron, ^^'"^^f^^'^'^J^^^^' ^' " '°° 



t wl.ilP fhnt deduced from the Diurnal Tide, ^, is too small. 



the tnar C«fEcient, ■„ the Semiaiurn.1 Tide, is given by Ure equatron,* 



Semidiurnal Solar^oefficient ^S^^ 4r— I" ^^^ 



S^SidhiS^ Lunar Coefficient M D' ^_^ 



la this equation, n, n' denote the angular velocities of the Sun and Moon ; k, b 

 JL meXth of the sea, and mean radius of the Earth ; and , the force of 

 gravity. Using the known values of these quantities, we find, 



— = 0-00345, 

 9 



^ = 0-00323, 

 9 



|xJ = 0-47288, 



Substituting these values in (8), and taking the value of the left-hand mem- 

 ber from Mr. Airy's Observations of Semidiurnal Tide, we find:- 



00323-^ _ 

 0-35 = 0-47 X j: 



From which we obtain. 



00345 - j^ 



• Airy, " Tides and Waves," p. 3-57 



