Tidal Dissipation in Convective Regions of Planets and Stars

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

I present two new sets of calculations relevant to determining the rate of tidal evolution of short-period extrasolar planetary systems from first principles. First, I calculate analytically a frequency-averaged rate of tidal dissipation in a simplified planetary model and show that it can depend strongly on the size of a solid or fluid core. Second, I investigate analytically the response of a three-dimensional fluid flow (such as convection) to tidal shear of high frequency and low amplitude. Numerical simulations by G. Lesur are used to calculate the frequency-dependent effective viscosity of turbulent convection and aspects of the analytical theory are confirmed. I discuss the application of these results to the survival of planets around late-type stars.

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