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We study the resonant dynamics in a simple one degree of freedom, time dependent Hamiltonian model describing spin-orbit interactions. The equations of motion admit periodic solutions associated with resonant motions, the most important…

Earth and Planetary Astrophysics · Physics 2016-07-29 Ioannis Gkolias , Alessandra Celletti , Christos Efthymiopoulos , Giuseppe Pucacco

Some of the satellites in the Solar System, including the Moon, appear to have been captured from heliocentric orbits at some point in their past, and then have evolved to the present configurations. The exact process of how this trapping…

Earth and Planetary Astrophysics · Physics 2014-11-20 Alexandre C. M. Correia

Spherical models of collisionless but quasi-relaxed stellar systems have long been studied as a natural framework for the description of globular clusters. Here we consider the construction of self-consistent models under the same physical…

Astrophysics · Physics 2009-11-13 G. Bertin , A. L. Varri

We present a new three-parameter family of self-consistent equilibrium models for quasi-relaxed stellar systems that are subject to the combined action of external tides and rigid internal rotation. These models provide an idealised…

Astrophysics of Galaxies · Physics 2025-12-16 Lucy A. Z. Arditi , Anna Lisa Varri

We investigate the long-term dynamical stability of hypothetical moons orbiting extrasolar giant planets. Stellar tides brake a planet's rotation and, together with tidal migration, act to remove satellites; this process limits the…

Astrophysics · Physics 2009-11-07 Jason W. Barnes , D. P. O'Brien

Rocky planets orbiting M-dwarf stars in the habitable zone tend to be driven to synchronous rotation by tidal dissipation, potentially causing difficulties for maintaining a habitable climate on the planet. However, the planet may be…

Earth and Planetary Astrophysics · Physics 2017-05-09 J. J. Zanazzi , Dong Lai

Eccentricity tides generate a torque that can drive an ocean planet towards asynchronous rotation states of equilibrium when enhanced by resonances associated with the oceanic tidal modes. We investigate the impact of eccentricity tides on…

Earth and Planetary Astrophysics · Physics 2019-09-18 Pierre Auclair-Desrotour , Jérémy Leconte , Emeline Bolmont , Stéphane Mathis

Co-orbital planets (in a $1:1$ mean motion resonance) can be formed within a Laplace resonance chain. Here, we develop a secular model to study the dynamics of the resonance chain $p:p:p+1$, where the co-orbital pair is in a first-order…

Earth and Planetary Astrophysics · Physics 2022-08-10 Jérémy Couturier , Philippe Robutel , Alexandre C. M. Correia

Stellar radiation has conservatively been used as the key constraint to planetary habitability. We review here the effects of tides, exerted by the host star on the planet, on the evolution of the planetary spin. Tides initially drive the…

Earth and Planetary Astrophysics · Physics 2011-12-13 René Heller , Rory Barnes , Jérémy Leconte

It is shown analytically that an external tidal gravitational field increases the secular stability of a fully general relativistic, rigidly rotating neutron star that is near marginal stability, protecting it against gravitational…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Kip S. Thorne

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

The evolution of rotation states of small asteroids is governed by the YORP effect, nonetheless some asteroids can stop their YORP evolution by attaining a stable equilibrium. The same is true for binary asteroids subjected to the BYORP…

Earth and Planetary Astrophysics · Physics 2018-04-25 Oleksiy Golubov , Vladyslav Unukovych , Daniel J. Scheeres

It is usually taken for granted that mutual synchronisation of a tidal two-body system is attained through tidal recession, assuming the reduced Hill sphere is not reached. However, synchronisation can be achieved also via tidal approach,…

Earth and Planetary Astrophysics · Physics 2026-04-21 Michael Efroimsky , Michaela Walterova , Yeva Gevorgyan , Amirhossein Bagheri , Valeri V. Makarov , Amir Khan

The creep tide theory is used to explore several aspects of the tidal evolution of the planetary system of the M-star LP 791-18 . We discuss the early synchronization of the exo-Earth LP 791-18d and show that the trapping of its rotation in…

Earth and Planetary Astrophysics · Physics 2025-08-06 Sylvio Ferraz-Mello , Thayná Menezes Bechara , Raphael Alves-Silva

The rotation of asymmetric bodies in eccentric Keplerian orbits can be chaotic when there is some overlap of spin-orbit resonances. Here we show that the rotation of two coorbital bodies (two planets orbiting a star or two satellites of a…

Earth and Planetary Astrophysics · Physics 2014-10-14 Philippe Robutel , A. C. M. Correia , Adrien Leleu

Recent observations suggest ongoing planet formation in the innermost parsec of the Galactic center (GC). The super-massive black hole (SMBH) might strip planets or planetary embryos from their parent star, bringing them close enough to be…

Astrophysics of Galaxies · Physics 2016-08-26 Alessandro Trani , Michela Mapelli , Mario Spera , Alessandro Bressan

Tidal dissipation inside giant planets is important for the orbital evolution of their natural satellites. It is conventionally treated by parameterized equilibrium tidal theory, in which the tidal torque declines rapidly with distance, and…

Earth and Planetary Astrophysics · Physics 2017-12-13 Jing Luan , Jim Fuller , Eliot Quataert

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

Short period exoplanets on circular orbits are thought to be tidally locked into synchronous rotation. If tidally locked, these planets must possess permanent day- and nightsides, with extreme irradiation on the dayside and none on the…

Earth and Planetary Astrophysics · Physics 2024-01-25 Xintong Lyu , Daniel D. B. Koll , Nicolas B. Cowan , Renyu Hu , Laura Kreidberg , Brain E. J. Rose

Spin-orbit coupling is often described in the "MacDonald torque" approach which has become the textbook standard. Within this method, a concise expression for the additional tidal potential, derived by MacDonald (1964; Rev. Geophys. 2,…

Earth and Planetary Astrophysics · Physics 2013-01-22 James G. Williams , Michael Efroimsky