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Related papers: Characterizing Multi-planet Systems with Classical…

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We investigate the orbital dynamics of circumbinary planetary systems with two planets around a circular or eccentric orbit binary. The orbits of the two planet are initially circular and coplanar to each other, but misaligned with respect…

Earth and Planetary Astrophysics · Physics 2021-12-15 Cheng Chen , Stephen H. Lubow , Rebecca G. Martin

Hierarchical quadruple systems arise naturally in stellar binaries and triples that harbour planets. Examples are hot Jupiters (HJs) in stellar triple systems, and planetary companions to HJs in stellar binaries. The secular dynamical…

Earth and Planetary Astrophysics · Physics 2017-06-19 Adrian S. Hamers , Dong Lai

We derive the conservative secular evolution of precessing compact binaries to second post-Newtonian order accuracy, with leading-order spin-orbit, spin-spin and mass quadrupole-monopole contributions included. The emerging closed system of…

General Relativity and Quantum Cosmology · Physics 2016-09-21 Márton Tápai , Zoltán Keresztes , László Árpád Gergely

Diversity in the properties of exoplanetary systems arises, in part, from dynamical evolution that occurs after planet formation. We use numerical integrations to explore the relative role of secular and resonant dynamics in the long-term…

Earth and Planetary Astrophysics · Physics 2022-03-23 Matthew M. Murphy , Philip J. Armitage

Atmospheric tides can strongly affect the rotational dynamics of planets. In the family of Earth-like planets, such as Venus, this physical mechanism coupled with solid tides makes the angular velocity evolve over long timescales and…

Earth and Planetary Astrophysics · Physics 2017-07-19 Pierre Auclair-Desrotour , Jacques Laskar , Stéphane Mathis

Context: Seasonal variations and climate stability of a planet are very sensitive to the planet obliquity and its evolution. This is of particular interest for the emergence and sustainability of land-based life, but orbital and rotational…

Earth and Planetary Astrophysics · Physics 2019-02-27 Melaine Saillenfest , Jacques Laskar , Gwenaël Boué

We develop a simplified model for studying the long-term evolution of giant planets in protoplanetary discs. The model accounts for the eccentricity evolution of the planets and the dynamics of eccentric discs under the influences of…

Earth and Planetary Astrophysics · Physics 2019-11-06 Jean Teyssandier , Dong Lai

Approximately half of the planets discovered by NASA's Kepler mission are in systems where just a single planet transits its host star, and the remaining planets are observed to be in multi-planet systems. Recent analyses have reported a…

Earth and Planetary Astrophysics · Physics 2020-10-07 Sanson T. S. Poon , Richard P. Nelson

The large increase in exoplanet discoveries in the last two decades showed a variety of systems whose stability is not clear. In this work we chose the $\upsilon$ Andromedae system as the basis of our studies in dynamical stability. This…

Earth and Planetary Astrophysics · Physics 2018-06-11 Barbara Celi Braga Camargo , Othon Cabo Winter , Dietmar William Foryta

The arrival of powerful instruments will provide valuable data for the characterization of rocky exoplanets. It is then crucial to accurately model the dynamical state of exoplanets. Rocky planets with sufficiently large orbits should have…

Earth-like planets have viscoelastic mantles, whereas giant planets may have viscoelastic cores. The tidal dissipation of such solid regions, gravitationally perturbed by a companion body, highly depends on their rheology and on the tidal…

Earth and Planetary Astrophysics · Physics 2015-06-04 F. Remus , S. Mathis , J. -P. Zahn , V. Lainey

We demonstrate that tidal evolution of the inner planet (`e') of the system orbiting the star rho 55 Cancri could have led to passage through two secular resonances with other planets in the system. The consequence of this evolution is…

Earth and Planetary Astrophysics · Physics 2015-06-17 Brad Hansen , Jonathon Zink

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

The three-dimensional secular behavior of a system composed of a central star and two massive planets is modeled semi-analytically in the frame of the general three-body problem. The main dynamical features of the system are presented in…

Astrophysics · Physics 2015-06-24 T. A. Michtchenko , S. Ferraz-Mello , C. Beauge

Earth-like planets have anelastic mantles, whereas giant planets may have anelastic cores. As for the fluid parts of a body, the tidal dissipation of such solid regions, gravitationally perturbed by a companion body, highly depends on its…

Earth and Planetary Astrophysics · Physics 2012-08-03 F. Remus , S. Mathis , J. -P. Zahn , V. Lainey

In this paper we develop a theory of disturbances induced by the stellar tidal field in a fully convective slowly rotating planet orbiting on a highly eccentric orbit around a central star. We show that there are two contributions to the…

Astrophysics · Physics 2009-11-07 P. B. Ivanov , J. C. B. Papaloizou

We perform global two-dimensional hydrodynamical simulations of Keplerian discs with free eccentricity over thousands of orbital periods. Our aim is to determine the validity of secular theory in describing the evolution of eccentric discs,…

Earth and Planetary Astrophysics · Physics 2016-03-23 Adrian J. Barker , Gordon I. Ogilvie

The SecularMultiple code, presented in two previous papers of this series, integrates the long-term dynamical evolution of multiple systems with any number of bodies and hierarchical structure, provided that the system is composed of nested…

Earth and Planetary Astrophysics · Physics 2020-04-29 Adrian S. Hamers

Semidiurnal atmospheric thermal tides are important for terrestrial exoplanets in the habitable zone of their host stars. With solid tides, they torque these planets, thus contributing to determine their rotation states as well as their…

Earth and Planetary Astrophysics · Physics 2017-10-20 Pierre Auclair-Desrotour , Stéphane Mathis , Jacques Laskar

Thermal tides are atmospheric tides caused by variations in day-night insolation, similar to gravitational tides but with key differences. While both result in delayed mass redistribution, energy dissipation, and angular momentum exchanges…

Earth and Planetary Astrophysics · Physics 2024-10-22 Pierre Auclair-Desrotour , Mohammad Farhat , Gwenaël Boué , Russell Deitrick , Jacques Laskar