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The long-term dynamical evolution of a Keplerian binary orbit due to the emission and absorption of gravitational radiation is investigated. This work extends our previous results on transient chaos in the planar case to the three…

General Relativity and Quantum Cosmology · Physics 2009-10-31 C. Chicone , B. Mashhoon , D. G. Retzloff

We calculate the linear torque exerted by a planet on a circular orbit on a disc containing a toroidal magnetic field. All fluid perturbations are singular at the so--called magnetic resonances, where the Doppler shifted frequency of the…

Astrophysics · Physics 2009-11-07 Caroline E. J. M. L. J. Terquem

A planetary system may undergo significant radial rearrangement during the early part of its lifetime. Planet migration can come about through interaction with the surrounding planetesimal disk and the gas disk--while the latter is still…

Astrophysics · Physics 2007-05-23 Edward W. Thommes , Jack J. Lissauer

We explore the evolution of a giant planet that interacts with a circumbinary disc that orbits a misaligned binary by means of analytic models and hydrodynamical simulations. Planet-disc interactions lead to mutual tilt oscillations between…

Earth and Planetary Astrophysics · Physics 2025-07-10 Rebecca G. Martin , Stephen H. Lubow

Planetary migration is a crucial stage in the early solar system, explaining many observational phenomena and providing constraints on details related to the solar system's origins. This paper aims to investigate the acceleration during…

Earth and Planetary Astrophysics · Physics 2025-10-22 Hailiang Li , Li-Yong Zhou , Xiaoping Zhang

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

The long-term habitability of Earth-like planets requires low orbital eccentricities. A secular perturbation from a distant stellar companion is a very important mechanism in exciting planetary eccentricities, as many of the extrasolar…

Earth and Planetary Astrophysics · Physics 2015-05-18 Ryosuke Kita , Frederic A. Rasio , Genya Takeda

In this letter we consider the evolution of a planetary system around a star inside a wide binary. We simulate numerically the evolution of the planetary orbits for both co-planar and highly-inclined systems. We find that the Kozai…

Astrophysics · Physics 2008-11-26 Daniel Malmberg , Melvyn B. Davies , John E. Chambers

In close exoplanetary systems, tidal interactions drive orbital and spin evolution of planets and stars over long timescales. Tidally-forced inertial waves (restored by the Coriolis acceleration) in the convective envelopes of low-mass…

Solar and Stellar Astrophysics · Physics 2022-08-17 A. Astoul , A. J. Barker

We present the results of hydrodynamic simulations of the formation and subsequent orbital evolution of giant planets embedded in a circumbinary disc. We assume that a 20 earth masses core has migrated to the edge of the inner cavity formed…

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

Planets undergoing convergent migration can be captured into mean-motion resonance (MMR), in which the planets' periods are related by integer ratios. The dynamics of MMR are typically considered in isolation, including only the forces…

Earth and Planetary Astrophysics · Physics 2025-05-16 JT Laune , Dong Lai

We describe the long-term evolution of compact systems of terrestrial planets, using a set of simulations that match the statistical properties of the observed exoplanet distribution. The evolution is driven by tidal dissipation in the…

Earth and Planetary Astrophysics · Physics 2015-06-19 Bradley M. S. Hansen , Norman Murray

The dynamical evolution of terrestrial planets resembling Mercury in the vicinity of spin-orbit resonances is investigated using comprehensive harmonic expansions of the tidal torque taking into account the frequency-dependent quality…

Earth and Planetary Astrophysics · Physics 2015-05-30 Valeri V. Makarov

This paper presents a generalized treatment of Type I planetary migration in the presence of stochastic perturbations. In many planet-forming disks, the Type I migration mechanism, driven by asymmetric torques, acts on a short time scale…

Earth and Planetary Astrophysics · Physics 2011-02-11 Fred C. Adams , Anthony M. Bloch

A new element is proposed to play a role in the evolution of extrasolar planetary systems: the tidal (or elliptical) instability. It comes from a parametric resonance and takes place in any rotating fluid whose streamlines are (even…

Solar and Stellar Astrophysics · Physics 2011-01-25 David Cébron , Claire Moutou , Michael Le Bars , Patrice Le Gal , R. Fares

Many recent observational studies have concluded that planetary systems commonly exist in multiple-star systems. At least ~20% of the known extrasolar planetary systems are associated with one or more stellar companions. The orbits of…

Astrophysics · Physics 2009-11-13 Genya Takeda , Ryosuke Kita , Frederic A. Rasio

Planetary migration is a key link between planet formation models and observed exoplanet statistics. So far the theory of migration has focused on the interaction of planets with an inviscid or viscously evolving disk. Turbulent viscosity…

Earth and Planetary Astrophysics · Physics 2019-12-25 C. N. Kimmig , C. P. Dullemond , W. Kley

The torques exerted by a locally isothermal disk on an embedded planet lead to rapid inward migration. Recent work has shown that modeling the thermodynamics without the assumption of local isothermality reveals regions where the net torque…

Earth and Planetary Astrophysics · Physics 2015-06-04 Brandon Horn , Wladimir Lyra , Mordecai-Mark Mac Low , Zsolt Sándor

We carry out 2-D high resolution numerical simulations of type I planet migration with different disk viscosities. We find that the planet migration is strongly dependent on disk viscosities. Two kinds of density wave damping mechanisms are…

Earth and Planetary Astrophysics · Physics 2015-05-18 Cong Yu , Hui Li , Shengtai Li , S. H. Lubow , D. N. C. Lin

In close binary stars, the tidal excitation of pulsations typically dissipates energy, causing the system to evolve towards a circular orbit with aligned and synchronized stellar spins. However, for stars with self-excited pulsations, we…

Solar and Stellar Astrophysics · Physics 2020-12-02 Jim Fuller