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We consider a planetary system consisting of two primaries, namely a star and a giant planet, and a massless secondary, say a terrestrial planet or an asteroid, which moves under their gravitational attraction. We study the dynamics of this…

Earth and Planetary Astrophysics · Physics 2018-05-23 Kyriaki I. Antoniadou , Anne-Sophie Libert

We investigate how the evolution of the stellar spin rate affects, and is affected by, planets in close orbits, via star-planet tidal interactions. To do this, we used a standard equilibrium tidal model to compute the orbital evolution of…

Earth and Planetary Astrophysics · Physics 2015-06-05 Emeline Bolmont , Sean N. Raymond , Jeremy Leconte , Sean P. Matt

The search for satellites around exoplanets represents one of the greatest challenges in advancing the characterization of planetary systems. Currently, we can only detect massive satellites, which resemble additional planetary companions…

Earth and Planetary Astrophysics · Physics 2023-11-06 C. Lazzoni , K. W. Rice , A. Zurlo , S. Hinkley , S. Desidera

We extend our previous work on the evolution of close binary systems with misaligned orbital and spin angular momenta resulting from non-dissipative tidal interaction to include all physical effects contributing to apsidal motion. In…

Solar and Stellar Astrophysics · Physics 2023-09-13 P. B. Ivanov , J. C. B. Papaloizou

We extend the study of Papaloizou & Savonije of the tidal interactions of close orbiting giant planets with a central solar type star to the situation where the spin axis of the central star and the orbital angular momentum are misaligned.…

Solar and Stellar Astrophysics · Physics 2023-11-10 J. C. B. Papaloizou , G. J. Savonije

It is well established that certain detached eclipsing binary stars exhibit apsidal motions whose value is in disagreement with with calculated deviations from Keplerian motion based on tidal effects and the general theory of relativity.…

Astrophysics · Physics 2009-11-07 S. A. Khodykin , A. I. Zakharov , W. L. Andersen

Previous work has shown that the tidal interaction between a binary system and a circumbinary disc leads to the formation of a large inner cavity in the disc. Subsequent formation and inward migration of a low mass planet causes it to…

Astrophysics · Physics 2009-11-13 Arnaud Pierens , Richard P. Nelson

Investigations of two resonant planets orbiting a star or two resonant satellites orbiting a planet often rely on a few resonant and secular terms in order to obtain a representative quantitative description of the system's dynamical…

Astrophysics · Physics 2015-05-13 Dimitri Veras

This paper reviews the basic equations used in the study of the tidal variations of the rotational and orbital elements of a system formed by one star and one close-in planet as given by the creep tide theory and Darwin's constant time lag…

Earth and Planetary Astrophysics · Physics 2022-06-08 Sylvio Ferraz-Mello

Tidal forces are important for understanding how close binary stars and compact exoplanetary systems form and evolve. However, tides are difficult to model and significant uncertainties exist about the strength of tides. Here, we…

Solar and Stellar Astrophysics · Physics 2021-05-19 Anders B. Justesen , Simon Albrecht

The emergence of orbital resonances among planets is a natural consequence of the early dynamical evolution of planetary systems. While it is well-established that convergent migration is necessary for mean-motion commensurabilities to…

Earth and Planetary Astrophysics · Physics 2023-04-05 Konstantin Batygin , Antoine C. Petit

A giant collision is believed to be at the origin of the Pluto-Charon system. As a result, the initial orbit and spins after impact may have substantially differed from those observed today. More precisely, the distance at periapse may have…

Earth and Planetary Astrophysics · Physics 2021-01-04 Alexandre C. M. Correia

Short-period binary star systems dissipate orbital energy through tidal interactions that lead to tighter, more circular orbits. When at least one star in a binary has evolved off of the main sequence, orbital circularization occurs for…

Solar and Stellar Astrophysics · Physics 2018-10-31 Adrian M. Price-Whelan , Jeremy Goodman

In this paper, we present the consistent evolution of short-period exoplanets coupling the tidal and gravothermal evolution of the planet. Contrarily to previous similar studies, our calculations are based on the complete tidal evolution…

Earth and Planetary Astrophysics · Physics 2015-05-18 Jérémy Leconte , Gilles Chabrier , Isabelle Baraffe , Benjamin Levrard

We analyze the secular evolution of hierarchical triple systems to second-order in the quadrupolar perturbation induced on the inner binary by the distant third body. The Newtonian three-body equations of motion, expanded in powers of the…

Earth and Planetary Astrophysics · Physics 2021-03-10 Clifford M. Will

In binary systems, studying tidal interactions is key to understanding the evolution of binary populations. The primary dissipation process occurring in stars with radiative envelopes is believed to be radiative damping of high-radial-order…

Solar and Stellar Astrophysics · Physics 2026-04-01 L. Fellay , M. -A. Dupret , P. A. Kołaczek-Szymański

Tidal dissipation within a short-period transiting extrasolar planet perturbed by a companion object can drive orbital evolution of the system to a so-called tidal fixed point, in which the apsidal lines of the transiting planet and its…

Earth and Planetary Astrophysics · Physics 2015-05-13 Konstantin Batygin , Peter Bodenheimer , Gregory Laughlin

Planetary, stellar and galactic physics often rely on the general restricted gravitational N-body problem to model the motion of a small-mass object under the influence of much more massive objects. Here, I formulate the general restricted…

Earth and Planetary Astrophysics · Physics 2015-06-18 Dimitri Veras

The 3:1 mean-motion resonance of the planar elliptic restricted three body problem (Sun-Jupiter-asteroid) is considered. The double numeric averaging is used to obtain the evolutionary equations which describe the long-term behavior of the…

Astrophysics · Physics 2009-11-11 Vladislav Sidorenko

In this paper we present a new approach to tidal theory. Assuming a Maxwell viscoelastic rheology, we compute the instantaneous deformation of celestial bodies using a differential equation for the gravity field coefficients. This method…

Earth and Planetary Astrophysics · Physics 2014-11-19 Alexandre C. M. Correia , Gwenaël Boué , Jacques Laskar , Adrián Rodríguez
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