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We investigate the secular dynamics of three-body circumbinary systems under the effect of tides. We use the octupolar non-restricted approximation for the orbital interactions, general relativity corrections, the quadrupolar approximation…

Earth and Planetary Astrophysics · Physics 2016-08-12 Alexandre C. M. Correia , Gwenaël Boué , Jacques Laskar

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

(Abbreviated) We extend the results of our 2021 paper concerning the problem of tidal evolution of a binary system with a rotating primary component with rotation axis arbitrarily inclined with respect to the orbital plane. Only the…

Solar and Stellar Astrophysics · Physics 2023-09-13 Pavel Ivanov , John Papaloizou

We study the orbital evolution of a three planet system with masses in the super-Earth regime resulting from the action of tides on the planets induced by the central star which cause orbital circularization. We consider systems either in…

Earth and Planetary Astrophysics · Physics 2015-06-19 John C. B. Papaloizou

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 analyze the long-term tidal evolution of a single-planet system through the use of numerical simulations and averaged equations giving the variations of semi-major axis and eccentricity of the relative orbit. For different types of…

Earth and Planetary Astrophysics · Physics 2015-05-13 Adrian Rodriguez , Sylvio Ferraz-Mello

Hierarchical two-planet systems, in which the inner body's semi-major axis is between 0.1 and 0.5 AU, usually present high eccentricity values, at least for one of the orbits. As a result of the formation process, one may expect that…

Earth and Planetary Astrophysics · Physics 2013-05-07 A. C. M. Correia , G. Boue , J. Laskar , M. H. M. Morais

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 present a self-consistent model for the tidal evolution of circumbinary planets. Based on the weak-friction model, we derive expressions of the resulting forces and torques considering complete tidal interactions between all the bodies…

Earth and Planetary Astrophysics · Physics 2019-07-10 F. A. Zoppetti , C. Beaugé , A. M. Leiva , H. Folonier

We provide a generalized discussion of tidal evolution to arbitrary order in the expansion of the gravitational potential between two spherical bodies of any mass ratio. To accurately reproduce the tidal evolution of a system at separations…

Earth and Planetary Astrophysics · Physics 2015-03-17 Patrick A. Taylor , Jean-Luc Margot

Spin-orbit misalignments have been detected in exoplanetary systems and binary star systems. Tidal interactions may have played an important role in the evolution of the spin-orbit angle. In this study, we investigate the tidal interactions…

Earth and Planetary Astrophysics · Physics 2017-04-12 Yufeng Lin , Gordon Ogilvie

We revisit the two body problem, where one body can be deformed under the action of tides raised by the companion. Tidal deformation and consequent dissipation result in spin and orbital evolution of the system. In general, the equations of…

Earth and Planetary Astrophysics · Physics 2023-06-07 Alexandre C. M. Correia , Ema F. S. Valente

Stellar systems consisting of multiple stars tend to undergo tidal interactions when the separations between the stars are short. While tidal phenomena have been extensively studied, a certain tidal effect exclusive to hierarchical triples…

Solar and Stellar Astrophysics · Physics 2018-06-27 Yan Gao , Alexandre C. M. Correia , Peter P. Eggleton , Zhanwen Han

Tidal dissipation in stars is one of the key physical mechanisms that drive the evolution of binary and multiple stars. As in the Earth oceans, it corresponds to the resonant excitation of their eigenmodes of oscillation and their damping.…

Solar and Stellar Astrophysics · Physics 2015-06-23 P. Auclair-Desrotour , S. Mathis , C. Le Poncin-Lafitte

We present a tidal model for treating the rotational evolution in the general three-body problem with arbitrary viscosities, in which all the masses are considered to be extended and all the tidal interactions between pairs are taken into…

Earth and Planetary Astrophysics · Physics 2021-07-14 F. A. Zoppetti , H. Folonier , A. M. Leiva , C. Beaugé

We investigate the nature of tidal effects in compact triple-star systems. The hierarchical structure of a triple system produces tidal forcing at high frequencies unobtainable in binary systems, allowing for the tidal excitation of high…

Solar and Stellar Astrophysics · Physics 2015-06-12 Jim Fuller , Aliz Derekas , Tamas Borkovits , Daniel Huber , Timothy Bedding , Laszlo Kiss

Tidal friction is thought to be important in determining the long-term spin-orbit evolution of short-period extrasolar planetary systems. Using a simple model of the orbit-averaged effects of tidal friction, we study the evolution of…

Earth and Planetary Astrophysics · Physics 2009-04-27 A. J. Barker , G. I. Ogilvie

In this Paper we determine the non-dissipative tidal evolution of a close binary system with an arbitrary eccentricity in which the spin angular momenta of both components are misaligned with the orbital angular momentum. We focus on the…

Solar and Stellar Astrophysics · Physics 2024-12-10 Y. A. Lazovik , P. B. Ivanov , J. C. B. Papaloizou

We study tidal dissipation in stars with masses in the range $0.1-1.6 M_\odot$ throughout their evolution, including turbulent effective viscosity acting on equilibrium tides and inertial waves in convection zones, and internal gravity…

Earth and Planetary Astrophysics · Physics 2020-09-09 Adrian J. Barker

We present a rapid binary evolution algorithm that enables modelling of even the most complex binary systems. In addition to all aspects of single star evolution, features such as mass transfer, mass accretion, common-envelope evolution,…

Astrophysics · Physics 2009-11-07 Jarrod R. Hurley , Christopher A. Tout , Onno R. Pols
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