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.
arXiv comment32 pages, 10 figures, one table; accepted to Celestial Mechanics and Dynamical Astronomy, special issue on tides
References in corpus (66)
- Detection of Planetary Transits Across a Sun-like Star
- The PLATO 2.0 Mission
- Hot Stars with Hot Jupiters Have High Obliquities
- Rotation Periods of 34,030 Kepler Main-Sequence Stars: The Full Autocorrelation Sample
- Architecture of Kepler's Multi-transiting Systems: II. New investigations with twice as many candidates
- Obliquities of Hot Jupiter host stars: Evidence for tidal interactions and primordial misalignments
- Global-Scale Turbulent Convection and Magnetic Dynamo Action in the Solar Envelope
- Tidal dissipation in stars and giant planets
- Tidal dissipation in rotating giant planets
- Influence of gravity waves on the internal rotation and Li abundance of solar-type stars
- Improved angular momentum evolution model for solar-like stars
- Tidal dissipation in rotating solar-type stars
- Ensemble Asteroseismology of Solar-Type Stars with the NASA Kepler Mission
- The Mass-Dependence of Angular Momentum Evolution in Sun-Like Stars
- Turbulent Convection Under the Influence of Rotation: Sustaining a Strong Differential Rotation
- Rotation and magnetism of Kepler pulsating solar-like stars. Towards asteroseismically calibrated age-rotation relations
- On the tidal evolution of Hot Jupiters on inclined orbits
- Asteroseismic measurement of surface-to-core rotation in a main sequence A star, KIC 11145123
- Stellar Rotation Periods of the Kepler Objects of Interest: A Dearth of Close-in Planets around Fast Rotators
- Standard Solar models in the Light of New Helioseismic Constraints II. Mixing Below the Convective Zone
- Improved angular momentum evolution model for solar-like stars II. Exploring the mass dependence
- Dynamo Action in the Solar Convection Zone and Tachocline: Pumping and Organization of Toroidal Fields
- Hydrodynamical stellar models including rotation, internal gravity waves and atomic diffusion. I. Formalism and tests on Pop I dwarfs
- On the tidal interaction of a solar-type star with an orbiting companion: Excitation of g mode oscillation and orbital evolution
- Spin-Orbit Evolution Of Short-Period Planets
- Dynamical Tide in Solar-Type Binaries
- On shear-induced turbulence in rotating stars
- Lithium depletion and the rotational history of exoplanet host stars
- Asteroseismic measurement of slow, nearly-uniform surface-to-core rotation in the main sequence F star KIC 9244992
- Transport and mixing in the radiation zones of rotating stars: I-Hydrodynamical processes
- Tides in rotating barotropic fluid bodies: the contribution of inertial waves and the role of internal structure
- Falling Transiting Extrasolar Giant Planets
- Angular momentum extraction by gravity waves in the Sun
- Tidal dissipation in binary systems
- Transport and mixing in the radiation zones of rotating stars II. Axisymmetric magnetic field
- Origin of Tidal Dissipation in Jupiter: II. the Value of Q
- Nearly-uniform internal rotation of solar-like main-sequence stars revealed by space-based asteroseismology and spectroscopic measurements
- Asteroseismic inference on rotation, gyrochronology and planetary system dynamics of 16 Cygni
- Nonlinear evolution of tidally forced inertial waves in rotating fluid bodies
- Seismic constraints on rotation of Sun-like star and mass of exoplanet
- Massive star evolution in close binaries:conditions for homogeneous chemical evolution
- Rotation periods and seismic ages of KOIs - comparison with stars without detected planets from Kepler observations
- The equilibrium tide in stars and giant planets: I - the coplanar case
- The variation of tidal dissipation in the convective envelope of low-mass stars along their evolution
- On internal wave breaking and tidal dissipation near the centre of a solar-type star
- On the interaction between tides and convection
- On the Differential Rotation of Massive Main Sequence Stars
- Tidal Dissipation and Obliquity Evolution in Hot Jupiter Systems
- Three-dimensional simulations of internal wave breaking and the fate of planets around solar-type stars
- Tidal Evolution of Close-in Extrasolar Planets: High Stellar Q from New Theoretical Models
- Sensitivity of helioseismic gravity modes to the dynamics of the solar core
- Effect of the stellar spin history on the tidal evolution of close-in planets
- Evolution of angular-momentum-losing exoplanetary systems : Revisiting Darwin stability
- Close binary evolution I. The tidally induced shear mixing in rotating binaries
- A unified normal mode approach to dynamic tides and its application to rotating Sun-like stars
- Inertial waves in a differentially rotating spherical shell
- No X-rays from WASP-18. Implications for its age, activity, and the influence of its massive hot Jupiter
- The Age and Interior Rotation of Stars from Asteroseismology
- Scaling laws to understand tidal dissipation in fluid planetary regions and stars I - Rotation, stratification and thermal diffusivity
- Tidal inertial waves in the differentially rotating convective envelopes of low-mass stars - I. Free oscillation modes
- Interplay of tidal evolution and stellar wind braking in the rotation of stars hosting massive close-in planets
- What Prevents Internal Gravity Waves From Disturbing the Solar Uniform Rotation?
- Evolution of Exoplanets and their Parent Stars
- Angular momentum conservation and torsional oscillations in the Sun and solar-like stars
- Constraining tidal dissipation in F-type main-sequence stars: the case of CoRoT-11
- Dissipation of a tide in a differentially rotating star
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- New PARSEC database of alpha-enhanced stellar evolutionary tracks and isochrones I. Calibration with 47 Tuc (NGC104) and the improvement on RGB bump
- Planet Hunters TESS I: TOI 813, a subgiant hosting a transiting Saturn-sized planet on an 84-day orbit
- On The Lack of Circumbinary Planets Orbiting Isolated Binary Stars
- Influence of stellar structure, evolution and rotation on the tidal damping of exoplanetary spin-orbit angles
- Planetary tidal interactions and the rotational evolution of low-mass stars. The Pleiades' anomaly
- 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
- Zahn's Theory of Dynamical Tides and Its Application to Stars