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Classical secular theory can be a powerful tool to describe the qualitative character of multi-planet systems and offer insight into their histories. The eigenmodes of the secular behavior, rather than current orbital elements, can help…

Earth and Planetary Astrophysics · Physics 2014-01-29 Christa Van Laerhoven , Richard Greenberg

Hierarchical two-planet systems, in which the inner body's semi-major axis is between 0.1 and 0.5 AU, usually present high eccentricity values, at least for one of the orbits. As a result of the formation process, one may expect that…

Earth and Planetary Astrophysics · Physics 2013-05-07 A. C. M. Correia , G. Boue , J. Laskar , M. H. M. Morais

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

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

The obliquities of planet-hosting stars are clues about the formation of planetary systems. Previous observations led to the hypothesis that for close-in giant planets, spin-orbit alignment is enforced by tidal interactions. Here, we…

Earth and Planetary Astrophysics · Physics 2016-02-17 Gongjie Li , Joshua N. Winn

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

Long-term orbital evolution of multi-planet systems under tidal dissipation often converges to a stationary state, known as the tidal fixed point. The fixed point is characterized by a lack of oscillations in the eccentricities and apsidal…

Earth and Planetary Astrophysics · Physics 2015-05-27 Konstantin Batygin , Gregory Laughlin

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

We consider the evolution of a binary system interacting due to tidal effects without restriction on the orientation of the orbital, and where significant, spin angular momenta, and orbital eccentricity. We work in the low tidal forcing…

Solar and Stellar Astrophysics · Physics 2020-11-11 P. B. Ivanov , J. C. B. Papaloizou

A widely considered characteristic of extra-solar planetary systems has been a seeming tendency for major axes of adjacent orbits to librate in stable configurations. Based on a new catalog of extra-solar planets (Butler et al. 2006) and…

Astrophysics · Physics 2009-11-11 Rory Barnes , Richard Greenberg

Recent observations have shown that at least some close-in exoplanets maintain eccentric orbits despite tidal circularization timescales that are typically shorter than stellar ages. We explore gravitational interactions with a distant…

Earth and Planetary Astrophysics · Physics 2015-06-12 Ke Zhang , Douglas P. Hamilton , Soko Matsumura

Studying the relative orientations of the orbits of exoplanets and wide-orbiting binary companions (semimajor axis greater than 100 AU) can shed light on how planets form and evolve in binary systems. Previous observations by multiple…

We revisit the tidal stability of extrasolar systems harboring a transiting planet and demonstrate that, independently of any tidal model, none but one (HAT-P-2b) of these planets has a tidal equilibrium state, which implies ultimately a…

Earth and Planetary Astrophysics · Physics 2009-11-13 B. Levrard , C. Winisdoerffer , G. Chabrier

Planets in the habitable zone of lower-mass stars are often assumed to be in a state of tidally synchronized rotation, which would considerably affect their putative habitability. Although thermal tides cause Venus to rotate retrogradely,…

Earth and Planetary Astrophysics · Physics 2015-02-24 Jérémy Leconte , Hanbo Wu , Kristen Menou , Norman Murray

The angle between the stellar spin and the planetary orbit axes (spin-orbit angle) is supposed to carry valuable information on the initial condition of the planet formation and the subsequent migration history. Indeed current observations…

Earth and Planetary Astrophysics · Physics 2015-06-18 Yuxin Xue , Yasushi Suto , Atsushi Taruya , Teruyuki Hirano , Yuka Fujii , Kento Masuda

Instabilities and strong dynamical interactions between several giant planets have been proposed as a possible explanation for the surprising orbital properties of extrasolar planetary systems. In particular, dynamical instabilities would…

Astrophysics · Physics 2007-05-23 Eric B. Ford , Marketa Havlickova , Frederic A. Rasio

This paper considers the stability of tidal equilibria for planetary systems in which stellar rotation provides a significant contribution to the angular momentum budget. We begin by applying classic stability considerations for two bodies…

Earth and Planetary Astrophysics · Physics 2015-06-23 Fred C. Adams , Anthony M. Bloch

Close-in co-orbital planets (in a 1:1 mean motion resonance) can experience strong tidal interactions with the central star. Here, we develop an analytical model adapted to the study of the tidal evolution of those systems. We use a…

Earth and Planetary Astrophysics · Physics 2023-11-01 Jérémy Couturier , Philippe Robutel , Alexandre C. M. Correia

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 Sun-like stars are observed to host close-in super-Earths (SEs) as part of a multi-planetary system. In such a system, the spin of the SE evolves due to spin-orbit resonances and tidal dissipation. In the absence of tides, the planet's…

Earth and Planetary Astrophysics · Physics 2022-10-18 Yubo Su , Dong Lai
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