Dynamic Elastic Tides

Physics

Scientific paper

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Scientific paper

We present a formulation for solid body tides that includes the frequency dependence of the tidal dissipation in a self-consistent, modular way. We derive general expressions for tidal heating and rate of change of semimajor axis and eccentricity. We then specify a Kelvin-Voigt rheology, which corresponds to a constant time lag tidal model commonly used in the literature. We verify that our model produces the classical expressions and present several new expansions to high eccentricity.

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