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The subject of this paper is the secular behaviour of a pair of planets evolving under dissipative forces. In particular, we investigate the case when dissipative forces affect the planetary semi-major axes and the planets move…

Earth and Planetary Astrophysics · Physics 2015-05-27 Tatiana A. Michtchenko , Adrián Rodríguez

Over the last two decades, a large population of close-in planets has been detected around a wide variety of host stars. Such exoplanets are likely to undergo planetary migration through magnetic and tidal interactions. We aim to follow the…

Earth and Planetary Astrophysics · Physics 2021-06-23 Jérémy Ahuir , Antoine Strugarek , Allan-Sacha Brun , Stéphane Mathis

In a multi-planet system, a gradual change in one planet's semi-major axis will affect the eccentricities of all the planets, as angular momentum is distributed via secular interactions. If tidal dissipation in the planet is the cause of…

Earth and Planetary Astrophysics · Physics 2015-05-27 Richard Greenberg , Christa Van Laerhoven

Most transiting planets orbit very close to their parent star, causing strong tidal forces between the two bodies. Tidal interaction can modify the dynamics of the system through orbital alignment, circularisation, synchronisation, and…

Astrophysics · Physics 2015-05-13 Frederic Pont

The distribution of hot Jupiters, for which star-planet interactions can be significant, questions the evolution of exosystems. We aim to follow the orbital evolution of a planet along the rotational and structural evolution of the host…

The motion of two planets around a Sun-like star under the combined effects of mutual interaction and tidal dissipation is investigated. The secular behaviour of the system is analyzed using two different approaches. First, we solve the…

Earth and Planetary Astrophysics · Physics 2015-05-27 Adrián Rodríguez , Sylvio Ferraz-Mello , Tatiana A. Michtchenko , Cristian Beaugé , Octavio Miloni

We investigate the orbital dynamics of circumbinary planetary systems with two planets around a circular or eccentric orbit binary. The orbits of the two planet are initially circular and coplanar to each other, but misaligned with respect…

Earth and Planetary Astrophysics · Physics 2021-12-15 Cheng Chen , Stephen H. Lubow , Rebecca G. Martin

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

With the discovery over the last two decades of a large diversity of exoplanetary systems, it is now of prime importance to characterize star-planet interactions and how such systems evolve. We address this question by studying systems…

Solar and Stellar Astrophysics · Physics 2019-01-16 M. Benbakoura , V. Réville , A. S. Brun , C. Le Poncin-Lafitte , S. Mathis

We investigate the secular dynamics of three-body circumbinary systems under the effect of tides. We use the octupolar non-restricted approximation for the orbital interactions, general relativity corrections, the quadrupolar approximation…

Earth and Planetary Astrophysics · Physics 2016-08-12 Alexandre C. M. Correia , Gwenaël Boué , Jacques Laskar

Planet-disk interaction predicts a change in the orbital elements of an embedded planet. Through linear and fully hydrodynamical studies it has been found that migration is typically directed inwards. Hence, this migration process gives…

Earth and Planetary Astrophysics · Physics 2015-05-27 Willy Kley

We study the dynamics of planetary systems with two planets moving in the same plane, when frictional forces act on the two planets, in addition to the gravitational forces. The model of the general three-body problem is used. Different…

Earth and Planetary Astrophysics · Physics 2015-05-19 J. D. Hadjidemetriou , G. Voyatzis

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 present a closed system of coupled first order differential equations governing the secular linear momentum loss of a compact binary due to emitted gravitational waves, with the leading order relativistic and spin-orbit perturbations…

General Relativity and Quantum Cosmology · Physics 2010-08-05 Zoltán Keresztes , Balázs Mikóczi , László Á. Gergely , Mátyás Vasúth

The distribution of angular momentum of planets and their host stars provides important information on the formation and evolution of the planetary system. However, mysteries still remain, partly due to bias and uncertainty of the current…

Earth and Planetary Astrophysics · Physics 2022-01-25 Jonathan H. Jiang , Remo Burn , Kristen A. Fahy , Xuan Ji , Patrick Eggenberger

Earth-mass planets are expected to have atmospheres and experience thermal tides raised by the host star. These tides transfer energy to the planet that can counter the dissipation from bodily tides. Indeed, even a relatively thin…

Earth and Planetary Astrophysics · Physics 2023-12-13 Ema F. S. Valente , Alexandre C. M. Correia

As planets form and grow within gaseous protoplanetary disks, the mutual gravitational interaction between the disk and planet leads to the exchange of angular momentum, and migration of the planet. We review current understanding of…

Earth and Planetary Astrophysics · Physics 2015-06-04 W. Kley , R. P. Nelson

The orbital eccentricity of a single planet around a component of a stellar binary system with a sufficiently large mutual inclination angle is known to oscillate on a secular timescale through the Kozai mechanism. We have investigated the…

Astrophysics · Physics 2007-11-08 Genya Takeda , Ryosuke Kita , Frederic A. Rasio , Samuel M. Rubinstein

The aim of this talk is to present the most recent advances in establishing plausible planetary system architectures determined by the gravitational tidal interactions between the planets and the disc in which they are embedded during the…

Earth and Planetary Astrophysics · Physics 2015-05-14 Ewa Szuszkiewicz , John C. B. Papaloizou

The aim of this work is to develop a formalism for the study of the secular evolution of a binary system which includes interaction due to the tides that each body imparts on the other. We also consider the influence of the $J_2$-related…

Earth and Planetary Astrophysics · Physics 2020-09-16 Santiago Luna , Hugo Navone , Mario Melita
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