366 Prof. G. H. Darwin. On an Apparatus for [Dec. 15, 



amount of retardation as the K,, and that the ratio of their ampli- 

 tudes is the same as in the equilibrium theory. We also make the 

 like assumption with respect to the K 3 and S 2 tides. 

 Accordingly we put 



Now since 



V =*o-t v', Vp = -*o + iw, V" = 2* - 



we have 



JC "_V"-29-53 

 Therefore 



I:} -ws*+^fi(%-*+v^ 



Let us put tan0 = ^ 



3f cos 2fto- 



tan * = f"sin(2ft -2 y "+29-53) 



" -Y-- P <|2 + f" COS (2/i -2 i 

 Then 



cos . , 

 sin 



cos 



If therefore 



^i \ __ T> cos 

 iJ 5 B ' S in 



we have 



_ - 



3f ' cos (2 AO v' -|-29 -53) ' "' ~ 



