Resolution of tidal high water anomaly

Physics – Geophysics

Scientific paper

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Scientific paper

As a preliminary calculation of the Equilibrium Theory of Tides, a fictitious Earth-Moon configuration is analyzed by Thomson and Tait [1]2), in which non-sphericity of oceans is attributed to the attraction exerted by a stationary Moon. A rise of level is found at the which Earth-Moon orbital motion is accounted. This feature, which is utterly contradictory to fact according to G. H. Darwin [2] prompted him to remark that ‘the equilibrium theory is nearly as much wrong as possible, in respect to the time of high water’. An elementary analysis is given which, in demonstrating an exactly opposite finding, suggests a manner of removing one of the long-standing obscurities of the Laplace theory, remarked upon by Hough and Airy, and in recent times by C. Eckart [3].

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