Abstract
This subject has been studied by many investigators, but solutions have not been adequately illustrated numerically, and some of the solutions have been limited to slow rotations. The use of iteration methods for a square sea indicated the possibility of covering a wider range of rotations and of exploring the use of such numerical methods in tidal problems where the interactions of tides in two phases offer unusual complications. In the case of a square sea these interactions only needed special consideration at the boundary. The investigation has been extended to throw light on the use of the energy equation to specify free oscillations, commonly referred to as Rayleigh’s Principle, but adapted to rotating seas, and simpler solutions of well-known period formulae have been obtained.
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