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It has been shown that there is a possible mass-period correlation for extrasolar planets from the current observational data and this correlation is, in fact, related to the absence of massive close-in planets, which are strongly…

Astrophysics · Physics 2009-11-07 Ing-Guey Jiang , Wing-Huen Ip , Li-Chin Yeh

There are many competing theories and models describing the formation, migration and evolution of exoplanet systems. As both the precision with which we can characterize exoplanets and their host stars, and the number of systems for which…

Earth and Planetary Astrophysics · Physics 2019-03-22 Jessie L. Christiansen , Charles Beichman , David R. Ciardi , Daniel Huber , Mark S. Marley

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

Close-in extrasolar planets experience extreme tidal interactions with their host stars. This may lead to a reduction of the planetary orbit and a spin-up of stellar rotation. Tidal interactions have been computed for a number of extrasolar…

Astrophysics · Physics 2009-11-10 Martin Paetzold , Ludmila Carone , Heike Rauer

(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

An analytical method for investigation of the evolution of dynamical systems {\it with independent on time accuracy} is developed for perturbed Hamiltonian systems. The error-free estimation using of computer algebra enables the application…

Instrumentation and Methods for Astrophysics · Physics 2016-12-13 A. V. Gurzadyan , A. A. Kocharyan

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

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 investigate the impact of tidal interactions, before any mass transfer, on various properties of the stellar models. We study the conditions for obtaining homogeneous evolution triggered by tidal interactions, and for avoiding any Roche…

Solar and Stellar Astrophysics · Physics 2016-01-06 H. F. Song , G. Meynet , A. Maeder , S. Ekstrom , P. Eggenberger

The recently developed method (Paper 1) enabling one to investigate the evolution of dynamical systems with an accuracy not dependent on time is developed further. The classes of dynamical systems which can be studied by that method are…

Instrumentation and Methods for Astrophysics · Physics 2018-11-05 V. G. Gurzadyan , A. A. Kocharyan

Tidal and tidal-resonant effects in coalescing compact binary systems are investigated by direct numerical integration of the equations of motion. For the stars polytropic models are used. The tidal effects are found to be dominated by the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Kostas D. Kokkotas , Gerhard Schaefer

[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 examine the radius evolution of close-in giant planets with a planet evolution model that couples the orbital-tidal and thermal evolution. For 45 transiting systems, we compute a large grid of cooling/contraction paths forward in time,…

Earth and Planetary Astrophysics · Physics 2009-09-28 N. Miller , J. J. Fortney , B. Jackson

We make publicly available an efficient, versatile, easy to use and extend tool for calculating the evolution of circular aligned planetary orbits due to the tidal dissipation in the host star. This is the first model to fully account for…

Earth and Planetary Astrophysics · Physics 2015-06-19 Kaloyan Penev , Michael Zhang , Brian Jackson

We develop an analytical Hamiltonian formalism adapted to the study of the motion of two planets in co-orbital resonance. The Hamiltonian, averaged over one of the planetary mean longitude, is expanded in power series of eccentricities and…

Earth and Planetary Astrophysics · Physics 2015-06-15 Philippe Robutel , Alexandre Pousse

We simulate the coupled stellar and tidal evolution of short-period binary stars (orbital period $P_{orb} \lsim$8 days) to investigate the orbital oscillations, instellation cycles, and orbital stability of circumbinary planets (CBPs). We…

Earth and Planetary Astrophysics · Physics 2021-06-30 David E. Graham , David P. Fleming , Rory Barnes

The surface angular velocity evolution of low-mass stars is now globally understood and the main physical mechanisms involved in it are observationally quite constrained. Additionally, recent observations showed anomalies in the rotation…

Earth and Planetary Astrophysics · Physics 2018-11-14 Florian Gallet , Emeline Bolmont , Jérôme Bouvier , Stéphane Mathis , Corinne Charbonnel

Observational evidence of white dwarf planetary systems is dominated by the remains of exo-asteroids through accreted metals, debris discs, and orbiting planetesimals. However, exo-planets in these systems play crucial roles as perturbing…

[Abridged] The recent discovery of a transiting planet on a non-circular orbit with a massive highly eccentric companion orbiting HAT-P-13 offers the possibility of probing the structure of the short-period planet. The ability to do this…

Earth and Planetary Astrophysics · Physics 2015-05-18 Rosemary A. Mardling

The evolution of planetary systems around white dwarfs is crucial to understanding the presence of planetary material in the atmospheres of white dwarfs. These systems uniquely probe exoplanetary compositions. Periodic signals in the…

Earth and Planetary Astrophysics · Physics 2025-06-26 Yuqi Li , Amy Bonsor , Oliver Shorttle , Laura K. Rogers
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