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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

The discovery of multi-planet extrasolar systems has kindled interest in using their orbital evolution as a probe of planet formation. Accurate descriptions of planetary orbits identify systems which could hide additional planets or be in a…

Earth and Planetary Astrophysics · Physics 2015-05-18 Dimitri Veras , Eric B. Ford

New Horizons mission observations show that the small satellites Styx, Nix, Kerberos and Hydra, of the Pluto-Charon system, have not tidally spun-down to near synchronous spin states and have high obliquities with respect to their orbit…

Earth and Planetary Astrophysics · Physics 2017-05-03 Alice C. Quillen , Fiona Nichols-Fleming , Yuan-Yuan Chen , Benoit Noyelles

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

In planetary systems with sufficiently small inter-planet spacing, close encounters can lead to planetary collisions/mergers or ejections. We study the spin property of the merger products of two giant planets in a statistical manner using…

Earth and Planetary Astrophysics · Physics 2020-07-29 Jiaru Li , Dong Lai

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

Context. Tidal dissipation in planets and in stars is one of the key physical mechanisms that drive the evolution of planetary systems. Aims. Tidal dissipation properties are intrisically linked to the internal structure and the rheology of…

Earth and Planetary Astrophysics · Physics 2015-06-17 P. Auclair-Desrotour , C. Le Poncin-Lafitte , S. Mathis

At high eccentricities, tidal forcing excites vibrational modes within orbiting bodies known as dynamical tides. In this paper, we implement the coupled evolution of these modes with the body's orbit in the \texttt{REBOUNDx} framework, an…

Earth and Planetary Astrophysics · Physics 2026-01-09 Donald J. Liveoak , Sarah C. Millholland , Michelle Vick , Daniel Tamayo

We build a conceptual coupled model of the climate and tidal evolution of the Earth-Moon system to find the influence of the former on the latter. An energy balance model is applied to calculate steady-state temperature field from the mean…

Earth and Planetary Astrophysics · Physics 2019-09-25 Nan Wang , Zhi-Guo He

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

In this work, we investigate the influence of planetary tidal interactions on the transit-timing variations of short-period low-mass rocky exoplanets. For such purpose, we employ the recently-developed creep tide theory to compute…

Earth and Planetary Astrophysics · Physics 2021-07-07 Gabriel de Oliveira Gomes , Emeline Bolmont , Sergi Blanco-Cuaresma

Dynamical tide consists of various waves that can resonate with orbital motion. We test this coupling of dynamical tide and orbital motion using a simple two-dimensional shallow water model, which can be applied to a rocky planet covered…

Earth and Planetary Astrophysics · Physics 2025-02-04 Xing Wei

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 introduce a new hybrid method to perform high-resolution tidal disruption simulations, at arbitrary orbits. An SPH code is used to simulate tidal disruptions only in the immediate spatial domain of the star, namely, where the tidal…

Earth and Planetary Astrophysics · Physics 2020-01-22 Uri Malamud , Hagai Perets

Mercury is entrapped in a 3:2 resonance: it rotates on its axis three times for every two revolutions it makes around the Sun. It is generally accepted that this is due to the large value of the eccentricity of its orbit. However, the…

Dynamical Systems · Mathematics 2020-03-10 Michele Bartuccelli , Jonathan Deane , Guido Gentile

We study orbital evolution of multi-planet systems with masses in the terrestrial planet regime induced through tidal interaction with a protoplanetary disk assuming that this is the dominant mechanism for producing orbital migration and…

Solar and Stellar Astrophysics · Physics 2016-05-25 J. C. B. Papaloizou

The 3:2 spin-orbit resonance between the rotational and orbital motions of Mercury results from a functional dependance on a tidal friction adding to a non-zero eccentricity with a permanent asymmetry in the equatorial plane of the planet.…

Astrophysics · Physics 2007-05-23 Nicolas Rambaux , Eric Bois

We study systems of close orbiting planets evolving under the influence of tidal circularization. It is supposed that a commensurability forms through the action of disk induced migration and orbital circularization. After the system enters…

Earth and Planetary Astrophysics · Physics 2015-05-28 J. C. B. Papaloizou

We introduce a numerical method to integrate tidal effects on collisional systems, using any definition of the external potential as a function of space and time. Rather than using a linearisation of the tidal field, this new method follows…

Astrophysics of Galaxies · Physics 2015-06-23 Florent Renaud , Mark Gieles

In most current debris disc models, the dynamical and the collisional evolutions are studied separately, with N-body and statistical codes, respectively, because of stringent computational constraints. We present here LIDT-DD, the first…

Earth and Planetary Astrophysics · Physics 2015-06-17 Quentin Kral , Philippe Thébault , Sébastien Charnoz