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In this paper, we present a formalism designed to model tidal interaction with a viscoelastic body made of Maxwell material. Our approach remains regular for any spin rate and orientation, and for any orbital configuration including high…

Earth and Planetary Astrophysics · Physics 2016-12-09 Gwenaël Boué , Alexandre C. M. Correia , Jacques Laskar

We investigate the orbital and rotational evolution of the CoRoT-7 two-planet system, assuming that the innermost planet behaves like a Maxwell body. We numerically resolve the coupled differential equations governing the instantaneous…

Earth and Planetary Astrophysics · Physics 2016-12-28 Adrián Rodríguez Colucci , Nelson Callegari , Alexandre Correia

Earth-like planets have viscoelastic mantles, whereas giant planets may have viscoelastic cores. The tidal dissipation of such solid regions, gravitationally perturbed by a companion body, highly depends on their rheology and on the tidal…

Earth and Planetary Astrophysics · Physics 2015-06-04 F. Remus , S. Mathis , J. -P. Zahn , V. Lainey

We revisit the two body problem, where one body can be deformed under the action of tides raised by the companion. Tidal deformation and consequent dissipation result in spin and orbital evolution of the system. In general, the equations of…

Earth and Planetary Astrophysics · Physics 2023-06-07 Alexandre C. M. Correia , Ema F. S. Valente

We present a self-consistent model for the tidal evolution of circumbinary planets. Based on the weak-friction model, we derive expressions of the resulting forces and torques considering complete tidal interactions between all the bodies…

Earth and Planetary Astrophysics · Physics 2019-07-10 F. A. Zoppetti , C. Beaugé , A. M. Leiva , H. Folonier

Tidal friction in exoplanet systems, driven by orbits that allow for durable nonzero eccentricities at short heliocentric periods, can generate internal heating far in excess of the conditions observed in our own solar system. Secular…

Earth and Planetary Astrophysics · Physics 2010-11-03 Wade G. Henning , Richard J. O'Connell , Dimitar D. Sasselov

We analyze the long-term tidal evolution of a single-planet system through the use of numerical simulations and averaged equations giving the variations of semi-major axis and eccentricity of the relative orbit. For different types of…

Earth and Planetary Astrophysics · Physics 2015-05-13 Adrian Rodriguez , Sylvio Ferraz-Mello

This study analyzes secular dynamics using averaged equations that detail tidal effects on the motion of two extended bodies in Keplerian orbits. It introduces formulas for energy dissipation within each body of a binary system. The…

Earth and Planetary Astrophysics · Physics 2024-02-19 Clodoaldo Ragazzo , Lucas Ruiz dos Santos

We investigate the dynamical evolution of hierarchical three-body systems under the effect of tides, when the ratio of the orbital semi-major axes is small and the mutual inclination is relatively large (greater than 20 degrees). Using the…

Earth and Planetary Astrophysics · Physics 2011-07-06 Alexandre C. M. Correia , Jacques Laskar , François Farago , Gwenaël Boué

We study the possibility of tidal dissipation in the solid cores of giant planets and its implication for the formation of hot Jupiters through high-eccentricity migration. We present a general framework by which the tidal evolution of…

Earth and Planetary Astrophysics · Physics 2013-12-25 Natalia I Storch , Dong Lai

Tidal effects arise from differential and inelastic deformation of a planet by a perturbing body. The continuous action of tides modify the rotation of the planet together with its orbit until an equilibrium situation is reached. It is…

Earth and Planetary Astrophysics · Physics 2010-09-20 Alexandre C. M. Correia , Jacques Laskar

We study tidal dissipation in models of rotating giant planets with masses in the range $0.1 - 10 M_\mathrm{J}$ throughout their evolution. Our models incorporate a frequency-dependent turbulent effective viscosity acting on equilibrium…

Earth and Planetary Astrophysics · Physics 2023-11-28 Yaroslav A. Lazovik , Adrian J. Barker , Nils B. de Vries , Aurélie Astoul

With the discovery of TRAPPIST-1 and its seven planets within 0.06 au, the correct treatment of tidal interactions is becoming necessary. The eccentricity, rotation, and obliquity of the planets of TRAPPIST-1 are indeed the result of tidal…

Earth and Planetary Astrophysics · Physics 2021-01-04 Emeline Bolmont , Sylvain N. Breton , Gabriel Tobie , Caroline Dumoulin , Stéphane Mathis , Olivier Grasset

A wide range of exoplanet and exomoon models are characterized by a finite average rigidity and a viscosity much lower than the typical values for terrestrials. Such semiliquid bodies may or may not have rigid crusts with permanent figures.…

Earth and Planetary Astrophysics · Physics 2015-09-16 Valeri V. Makarov

Recent works suggest that, in multiplanetary systems, a close-in exoplanet can sometimes avoid becoming tidally locked to its host star if it is captured into a secular spin-orbit resonance with a companion planet. In such a resonance, the…

Earth and Planetary Astrophysics · Physics 2024-10-10 Henry Yuan , Yubo Su , Jeremy Goodman

Recent discoveries of several transiting planets with clearly non-zero eccentricities and some large inclinations started changing the simple picture of close-in planets having circular and well-aligned orbits. Two major scenarios to form…

Earth and Planetary Astrophysics · Physics 2015-05-19 Soko Matsumura , Stanton J. Peale , Frederic A. Rasio

Thermal, orbital, and rotational dynamics of tidally loaded exoplanets are interconnected by intricate feedback. The rheological structure of the planet determines its susceptibility to tidal deformation and, as a consequence, participates…

Earth and Planetary Astrophysics · Physics 2020-09-02 Michaela Walterová , Marie Běhounková

We reexamine the popular belief that a telluric planet or satellite on an eccentric orbit can, outside a spin-orbit resonance, be captured in a quasi-static tidal equilibrium called pseudosynchronous rotation. The existence of such…

Earth and Planetary Astrophysics · Physics 2015-06-11 Valeri V. Makarov , Michael Efroimsky

We present an extended version of the Constant Time Lag analytical approach for the tidal evolution of circumbinary planets introduced in our previous work. The model is self-consistent, in the sense that all tidal interactions between…

Earth and Planetary Astrophysics · Physics 2020-01-29 F. A. Zoppetti , A. M. Leiva , C. Beaugé

We perform numerical simulations of the TRAPPIST-1 system of seven exoplanets orbiting a nearby M dwarf, starting with a previously suggested stable configuration. The long-term stability of this configuration is confirmed, but the motion…

Earth and Planetary Astrophysics · Physics 2018-05-01 Valeri V. Makarov , Ciprian T. Berghea , Michael Efroimsky
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