Tides and angular momentum redistribution inside low-mass stars hosting planets: a first dynamical model
arXiv:1606.08623 · doi:10.1007/s10569-016-9714-z
Abstract
We introduce a general mathematical framework to model the internal transport of angular momentum in a star hosting a close-in planetary/stellar companion. By assuming that the tidal and rotational distortions are small and that the deposit/extraction of angular momentum induced by stellar winds and tidal torques are redistributed solely by an effective eddy-viscosity that depends on the radial coordinate, we can formulate the model in a completely analytic way. It allows us to compute simultaneously the evolution of the orbit of the companion and of the spin and the radial differential rotation of the star. An illustrative application to the case of an F-type main-sequence star hosting a hot Jupiter is presented. The general relevance of our model to test more sophisticated numerical dynamical models and to study the internal rotation profile of exoplanet hosts, submitted to the combined effects of tides and stellar winds, by means of asteroseismology are discussed.
32 pages, 10 figures, one table; accepted to Celestial Mechanics and Dynamical Astronomy, special issue on tides
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Cited by in corpus (4)
- Stellar activity and rotation of the planet host Kepler-17 from long-term space-borne photometry
- Induced differential rotation and mixing in asynchronous binary stars
- Change in the Orbital Period of a Binary System Due to Dynamical Tides for Main-Sequence Stars
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