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In close exoplanetary systems, tidal interactions drive orbital and spin evolution of planets and stars over long timescales. Tidally-forced inertial waves (restored by the Coriolis acceleration) in the convective envelopes of low-mass…

Solar and Stellar Astrophysics · Physics 2022-08-17 A. Astoul , A. J. Barker

The architecture of many exoplanetary systems is different from the solar system, with exoplanets being in close orbits around their host stars and having orbital periods of only a few days. We can expect interactions between the star and…

Solar and Stellar Astrophysics · Physics 2017-09-20 K. Poppenhaeger

Tidal effects arise from differential and inelastic deformation of a planet by a perturbing body. The continuous action of tides modify the rotation of the planet together with its orbit until an equilibrium situation is reached. It is…

Earth and Planetary Astrophysics · Physics 2010-09-20 Alexandre C. M. Correia , Jacques Laskar

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

[Abridged] Tides may play an important role in determining the observed distributions of mass, orbital period, and eccentricity of the extrasolar planets. In addition, tidal interactions between giant planets in the solar system and their…

Astrophysics · Physics 2009-11-10 G. I. Ogilvie , D. N. C. Lin

We introduce our new code, SMERCURY-T, which is based on existing codes SMERCURY (Lissauer et al. 2012) and Mercury-T (Bolmont et al. 2015). The result is a mixed-variable symplectic N-body integrator that can compute the orbital and spin…

Earth and Planetary Astrophysics · Physics 2021-09-09 Steven M. Kreyche , Jason W. Barnes , Billy L. Quarles , John E. Chambers

To first approximation, a binary system conserves its angular momentum while it evolves to its state of minimum kinetic energy: circular orbit, all spins aligned, and components rotating in synchronism with the orbital motion. The pace at…

Astrophysics · Physics 2009-11-13 Jean-Paul Zahn

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

In close two-body astrophysical systems, such as binary stars or Hot Jupiter systems, tidal interactions often drive dynamical evolution on secular timescales. Many host stars and presumably giant gaseous planets feature a convective…

Solar and Stellar Astrophysics · Physics 2021-09-20 A. Astoul , A. J. Barker

In this paper, we present a formalism designed to model tidal interaction with a viscoelastic body made of Maxwell material. Our approach remains regular for any spin rate and orientation, and for any orbital configuration including high…

Earth and Planetary Astrophysics · Physics 2016-12-09 Gwenaël Boué , Alexandre C. M. Correia , Jacques Laskar

In this paper, we study the behavior of a pair of co-orbital planets, both orbiting a central star on the same plane and undergoing tidal interactions. Our goal is to investigate final orbital configurations of the planets, initially…

Earth and Planetary Astrophysics · Physics 2015-06-16 Adrián Rodríguez , Cristian A. Giuppone , Tatiana A. Michtchenko

Stellar spin-orbit misalignments (obliquities) in hot Jupiter systems have been extensively probed. Such obliquities may reveal clues about hot Jupiter dynamical histories. Common explanations for generating obliquities include…

Earth and Planetary Astrophysics · Physics 2018-08-01 Kassandra R. Anderson , Dong Lai

Tidal interactions are important in driving spin and orbital evolution in planetary and stellar binary systems, but the fluid dynamical mechanisms responsible remain incompletely understood. One key mechanism is the interaction between…

Solar and Stellar Astrophysics · Physics 2019-12-10 Craig D. Duguid , Adrian J. Barker , Chris A. Jones

This report is a review of Darwin's classical theory of bodily tides in which we present the analytical expressions for the orbital and rotational evolution of the bodies and for the energy dissipation rates due to their tidal interaction.…

Astrophysics · Physics 2009-06-19 Sylvio Ferraz-Mello , Adrián Rodríguez , Hauke Hussmann

In this paper we revisit the problem of the tidal interaction occuring between a protostellar accretion disc and a secondary point mass following a parabolic trajectory. We model the disc response analytically and we compare our results…

Astrophysics · Physics 2015-06-24 John D. Larwood

Detached circumplanetary disks are unstable to tilting as a result of the stellar tidal potential. We examine how a tilted circumplanetary disk affects the evolution of the spin axis of an oblate planet. The disk is evolved using…

Earth and Planetary Astrophysics · Physics 2021-05-12 Rebecca G. Martin , Philip J. Armitage

(abbreviated) We extend the theory of close encounters of a planet on a parabolic orbit with a star to include the effects of tides induced on the central rotating star. Orbits with arbitrary inclination to the stellar rotation axis are…

Earth and Planetary Astrophysics · Physics 2015-05-28 P. B. Ivanov , J. C. B. Papaloizou

The stellar spin orientation relative to the orbital planes of multiplanet systems are becoming accessible to observations. Here, we analyze and classify different types of spin-orbit evolution in compact multiplanet systems perturbed by an…

Earth and Planetary Astrophysics · Physics 2015-06-19 Gwenaël Boué , Daniel Fabrycky

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 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