The self-consistent dynamic pole tide in non-global oceans

Mathematics

Scientific paper

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Earth Mantle, Earth Tides, Ocean Dynamics, Polar Wandering (Geology), Bathymeters, Energy Dissipation, Laplace Equation, Magnetic Poles, Matrices (Mathematics), Ocean Bottom

Scientific paper

The dynamic pole tide is determined by solving Laplace tide equations which take into account the presence of continents in oceans, oceanic self-gravitation and loading, and mantle elasticity. Dynamical effects are found to be only mild. It is shown that the dynamical pole tide contributes about one day more to the Chandler period than a static pole tide would, and dissipates wobble energy at a very weak rate. It is noted that, depending on the wobble period predicted for an oceanless elastic earth, mantle anelasticity at low frequencies may nevertheless contribute negligibly to the Chandler period.

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