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Paper: Equilibrium Tides in Differentially Rotating Stars
Volume: 333, Tidal Evolution and Oscillations in Binary Stars: Third Granada Workshop on Stellar Structure
Page: 108
Authors: Mathis, S.; Zahn, J.-P.
Abstract: In this work, we present new theoretical advances in the modelization of the equilibrium tide in the convective envelope of solar-type binary stars. We simplify the problem by assuming that all the spins are aligned but we take into account the two-dimensional character of the rotation law in the convection zone. Following the method of Zahn (1966) we first derive the adiabatic tide which is in phase with the perturbing potential exerted by the companion. Next, we derive the dissipative tide which is in quadrature with it, using the crude MLT eddy-viscosity to model the action of turbulence on the large scale tidal flow. Finally, we discuss the impact of those processes on the dynamical evolution of binary systems. Note that our results may be applied as well to giant planets and to exo-planets, since these possess also a convection zone.
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