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Planets with masses between 0.1 - 10 M_earth are believed to host dense atmospheres. These atmospheres can play an important role on the planet's spin evolution, since thermal atmospheric tides, driven by the host star, may counterbalance…

Earth and Planetary Astrophysics · Physics 2014-08-05 Diana Cunha , Alexandre C. M. Correia , Jacques Laskar

We investigate the dynamical evolution of the potentially habitable super-earth GJ 667Cc in the multiple system of at least two exoplanets orbiting a nearby M dwarf, paying special attention to its spin-orbital state. The published radial…

Earth and Planetary Astrophysics · Physics 2015-06-17 Valeri V. Makarov , Ciprian Berghea

We reexamine the popular belief that a telluric planet or satellite on an eccentric orbit can, outside a spin-orbit resonance, be captured in a quasi-static tidal equilibrium called pseudosynchronous rotation. The existence of such…

Earth and Planetary Astrophysics · Physics 2015-06-11 Valeri V. Makarov , Michael Efroimsky

The rotation of Mercury is presently captured in a 3/2 spin-orbit resonance with the orbital mean motion. The capture mechanism is well understood as the result of tidal interactions with the Sun combined with planetary perturbations.…

Earth and Planetary Astrophysics · Physics 2009-01-23 Alexandre C. M. Correia , Jacques Laskar

Stars in short-period binaries typically have spins that are aligned and synchronized with the orbit of their companion. In triple systems, however, the combination of spin and orbital precession can cause the star's rotation to evolve to a…

Solar and Stellar Astrophysics · Physics 2023-09-18 Jim Fuller , Catherine Felce

This work investigates different models of rotational dynamics of two rigid bodies with the shape of an ellipsoid, moving under their gravitational influence. The focus of this study is on their behavior, their linear stability, and…

Dynamical Systems · Mathematics 2025-10-28 Adrián P. Bustamante , Alessandra Celletti , Christoph Lhotka

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 present a new empirical calibration of equilibrium tidal theory for extrasolar planet systems, extending a prior study by incorporating detailed physical models for the internal structure of planets and host stars. The resulting strength…

Earth and Planetary Astrophysics · Physics 2015-06-04 Brad Hansen

Close-in planets undergo strong tidal interactions with the parent star that modify their spins and orbits. In the two-body problem, the final stage for tidal evolution is the synchronisation of the rotation and orbital periods, and the…

Earth and Planetary Astrophysics · Physics 2023-07-19 Ema F. S. Valente , Alexandre C. M. Correia

Migration of planetary systems caused by the action of dissipative forces may lead the planets to be trapped in a resonance. In this work we study the conditions and the dynamics of such resonant trapping. Particularly, we are interested in…

Earth and Planetary Astrophysics · Physics 2016-11-03 George Voyatzis

Potentially habitable planets within the habitable zone of M-dwarfs are affected by tidal interaction. We studied the tidal evolution in GJ 667C using a numerical code we call TIDEV. We reviewed the problem of the dynamical evolution…

Earth and Planetary Astrophysics · Physics 2016-11-09 P. Cuartas-Restrepo , M. Melita , J. Zuluaga , B. Portilla , M. Sucerquia , O. Miloni

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 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

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 equilibrium rotation of tidally evolved "Earth-like" extra-solar planets is often assumed to be synchronous with their orbital mean motion. The same assumption persisted for Mercury and Venus until radar observations revealed their true…

Astrophysics · Physics 2008-08-08 Alexandre C. M. Correia , Benjamin Levrard , Jacques Laskar

We study the tidal evolution of a binary system consisting of a 1.4 Msun compact object in elliptic orbit about a 10 Msun uniformly rotating main sequence star for various values of the initial orbital parameters. We apply our previously…

Astrophysics · Physics 2007-05-23 M. G. Witte , G. J. Savonije

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

Eccentricity or obliquity tides have been proposed as the missing energy source that may explain the anomalously large radius of some transiting ``hot Jupiters''. To maintain a non-zero and large obliquity, it was argued that the planets…

The TRAPPIST-1 system has 7 known terrestrial planets arranged compactly in a mean motion resonant chain around an ultra-cool central star, some within the estimated habitable zone. Given their short orbital periods of just a few days, it…

Earth and Planetary Astrophysics · Physics 2019-08-07 Alec M. Vinson , Daniel Tamayo , Brad M. S. Hansen

We present a series of dynamical maps for fictitious 3-planets systems in initially circular coplanar orbits. These maps have unveiled a rich resonant structure involving two or three planets, as well as indicating possible migration routes…

Earth and Planetary Astrophysics · Physics 2018-03-28 C. Charalambous , J. G. Martí , C. Beaugé , X. S. Ramos