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The planet Mercury is locked in a spin-orbit resonance where it rotates three times about its spin axis for every two orbits about the Sun. The current explanation for this unique state assumes that the initial rotation of this planet was…

Earth and Planetary Astrophysics · Physics 2011-12-13 Mark A. Wieczorek , Alexandre C. M. Correia , Mathieu Le Feuvre , Jacques Laskar , Nicolas Rambaux

We aim to investigate the influence of the eccentricity and inclination damping due to planet-disc interactions on the final configurations of the systems, generalizing previous studies on the combined action of the gas disc and…

Earth and Planetary Astrophysics · Physics 2016-12-09 Sotiris Sotiriadis , Anne-Sophie Libert , Bertram Bitsch , Aurélien Crida

Orbits of known extrasolar planets that are located outside the tidal circularization regions of their parent stars are often substantially eccentric. By contrast, planetary orbits in our Solar System are approximately circular, reflecting…

Astrophysics · Physics 2009-11-07 E. I. Chiang , D. Fischer , E. Thommes

The existence of planets orbiting a central binary star system immediately raises questions regarding their formation and dynamical evolution. Recent discoveries of circumbinary planets by the Kepler space telescope has shown that some of…

Earth and Planetary Astrophysics · Physics 2015-09-09 Wilhelm Kley , Nader Haghighipour

We study orbital evolution of multi-planet systems that form a resonant chain, with nearest neighbours close to first order commensurabilities, incorporating orbital circularisation produced by tidal interaction with the central star. We…

Earth and Planetary Astrophysics · Physics 2021-06-23 J. C. B. Papaloizou

We develop a fourth-order numerical integrator to simulate the coupled spin and orbital motions of two rigid bodies having arbitrary mass distributions under the influence of their mutual gravitational potential. We simulate the dynamics of…

Earth and Planetary Astrophysics · Physics 2015-02-06 Shantanu P. Naidu , Jean-Luc Margot

The angle between the spin of a star and its planets' orbital planes traces the history of the planetary system. Exoplanets orbiting close to cool stars are expected to be on circular, aligned orbits because of strong tidal interactions…

Although most of the circumbinary planets detected by the Kepler spacecraft are on orbits that are closely aligned with the binary orbital plane, the systems Kepler-413 and Kepler-453 exhibit small misalignments of $\sim 2.5^\circ$. One…

Earth and Planetary Astrophysics · Physics 2018-04-11 Arnaud Pierens , Richard P. Nelson

Pairs of migrating extrasolar planets often lock into mean motion resonance as they drift inward. This paper studies the convergent migration of giant planets (driven by a circumstellar disk) and determines the probability that they are…

Earth and Planetary Astrophysics · Physics 2015-05-20 Jacob A. Ketchum , Fred C. Adams , Anthony M. Bloch

The evolution of exoplanetary systems with a close-in planet is ruled by the tides mutually raised on the two bodies and by the magnetic braking of the host star. This paper deals with consequences of this evolution and some features that…

Earth and Planetary Astrophysics · Physics 2023-07-05 S. Ferraz-Mello , C. Beaugé

During its 5 year mission, the Kepler spacecraft has uncovered a diverse population of planetary systems with orbital configurations ranging from single-transiting planets to systems of multiple planets co-transiting the parent star. By…

Earth and Planetary Astrophysics · Physics 2016-10-12 Christopher Spalding , Konstantin Batygin

We investigate the evolution of a system of two super-Earths with masses < 4 Earth masses embedded in a turbulent protoplanetary disk. The aim is to examine whether or not resonant trapping can occur and be maintained in presence of…

Earth and Planetary Astrophysics · Physics 2015-05-27 A. Pierens , C. Baruteau , F. Hersant

Super-Earths can form at large orbital radii and migrate inward due to tidal interactions with the circumstellar disk. In this scenario, convergent migration may occur and lead to the formation of resonant pairs of planets. We explore the…

Earth and Planetary Astrophysics · Physics 2020-09-30 Francesco Marzari , Gennaro D'Angelo

Observations of circumbinary planets orbiting very close to the central stars have shown that planet formation may occur in a very hostile environment, where the gravitational pull from the binary should be very strong on the primordial…

Earth and Planetary Astrophysics · Physics 2014-02-05 Stefan Lines , Zoe M. Leinhardt , Sijme-Jan Paardekooper , Clement Baruteau , Philippe Thebault

The rotational distribution of asteroids as a function of their size is used {as a diagnostic of} their physical properties and evolution. Recent photometric surveys from the Gaia mission, allowing observation of asteroids with long spin…

Earth and Planetary Astrophysics · Physics 2025-02-28 Wen-Han Zhou , Patrick Michel , Marco Delbo , Wenchao Wang , Bonny Y. Wang , Josef Ďurech , Josef Hanuš

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

The late-stage formation of giant planetary systems is rich in interesting dynamical mechanisms. Previous simulations of three giant planets initially on quasi-circular and quasi-coplanar orbits in the gas disc have shown that highly…

Earth and Planetary Astrophysics · Physics 2018-05-02 Anne-Sophie Libert , Sotiris Sotiriadis , Kyriaki I. Antoniadou

The method of averaging is used to investigate the phenomenon of capture into resonance for a model that describes a Keplerian binary system influenced by radiation damping and external normally incident periodic gravitational radiation.…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Carmen Chicone , Bahram Mashhoon , David Retzloff

We consider two qubits interacting with local and collective thermal reservoirs. Each spin-reservoir interaction consists of an energy exchange and an energy conserving channel. We prove a resonance representation of the reduced dynamics of…

Mathematical Physics · Physics 2015-05-30 Marco Merkli

[Abridged] We consider the dynamics of a system of hot super-Earths or Neptunes such as HD 40307. We show that, as tidal interaction with the central star leads to small eccentricities, the planets in this system could be undergoing…

Earth and Planetary Astrophysics · Physics 2015-05-18 John C. B. Papaloizou , Caroline Terquem