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Since the pioneering work of Kelvin on Laplace tidal equations, a zoology of trapped waves have been found in the context of coastal dynamics. Among them, the one originally computed by Kelvin plays a particular role, as it is an…

Fluid Dynamics · Physics 2021-10-04 Antoine Venaille , Pierre Delplace

Recent discoveries of several transiting planets with clearly non-zero eccentricities and some large inclinations started changing the simple picture of close-in planets having circular and well-aligned orbits. Two major scenarios to form…

Earth and Planetary Astrophysics · Physics 2015-05-19 Soko Matsumura , Stanton J. Peale , Frederic A. Rasio

The planets with a radius $<$ 4 $R$$_\oplus$ observed by the Kepler mission exhibit a unique feature, and propose a challenge for current planetary formation models. The tidal effect between a planet and its host star plays an essential…

Earth and Planetary Astrophysics · Physics 2018-05-15 Yao Dong , Jianghui Ji , Su Wang

Aims: Revisit and improvement of the main results obtained in the study of the tidal evolution of several massive CoRoT planets and brown dwarfs and of the rotation of their host stars. Methods: Simulations of the past and future evolution…

Earth and Planetary Astrophysics · Physics 2016-06-21 Sylvio Ferraz-Mello

Multi-planetary systems detected by the Kepler mission present an excess of planets close to first-order mean-motion resonances (2:1 and 3:2) but with a period ratio slightly higher than the resonant value. Several mechanisms have been…

Earth and Planetary Astrophysics · Physics 2014-10-22 J. -B. Delisle , J. Laskar

Context. The Juno spacecraft has obtained highly accurate tidal Love numbers, which provide important constraints on the tidal response and interior structure of Jupiter. Aims. In order to exploit these observations, it is necessary to…

Earth and Planetary Astrophysics · Physics 2023-03-08 Yufeng Lin

We perform numerical simulations of the TRAPPIST-1 system of seven exoplanets orbiting a nearby M dwarf, starting with a previously suggested stable configuration. The long-term stability of this configuration is confirmed, but the motion…

Earth and Planetary Astrophysics · Physics 2018-05-01 Valeri V. Makarov , Ciprian T. Berghea , Michael Efroimsky

Tidal torques play a key role in rotational dynamics of celestial bodies. They govern these bodies' tidal despinning, and also participate in the subtle process of entrapment of these bodies into spin-orbit resonances. This makes tidal…

Earth and Planetary Astrophysics · Physics 2015-06-11 Michael Efroimsky , Valeri V. Makarov

We examine the tidal deformation of a nonrotating compact body (material body or black hole) in general relativity. The body's exterior metric is calculated in a simultaneous expansion in powers of the ratio between the distance to the body…

General Relativity and Quantum Cosmology · Physics 2021-03-24 Eric Poisson

We derive expressions for the tidal field exerted by a spherically symmetric galaxy having an extended mass distribution, and use our analysis to calculate tidal perturbations and heating of stars in a globular cluster or a satellite galaxy…

Astrophysics · Physics 2009-10-30 Oleg Y. Gnedin , Lars Hernquist , Jeremiah P. Ostriker

In close binary systems, rotation and tidal forces of the component stars deform each other and destroy their spherical symmetry. We present new models for low-mass, pre-main sequence stars that include the combined distortion effects of…

Solar and Stellar Astrophysics · Physics 2010-11-02 N. R. Landin , L. T. S. Mendes , L. P. R. Vaz

Tidal tails of star clusters are not homogeneous but show well defined clumps in observations as well as in numerical simulations. Recently an epicyclic theory for the formation of these clumps was presented. A quantitative analysis was…

Astrophysics · Physics 2011-02-11 A. Just , P. Berczik , M. I. Petrov , A. Ernst

The Darwin-Kaula theory of bodily tides is intended for celestial bodies rotating without libration. We demonstrate that this theory, in its customary form, is inapplicable to a librating body. Specifically, in the presence of libration in…

Earth and Planetary Astrophysics · Physics 2017-08-28 Julien Frouard , Michael Efroimsky

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

Tidal dissipation in planets and stars is one of the key physical mechanisms driving the evolution of star-planet and planet-moon systems. Several signatures of its action are observed in planetary systems thanks to their orbital…

Earth and Planetary Astrophysics · Physics 2015-09-23 P. Auclair-Desrotour , S. Mathis , C. Le Poncin-Lafitte

Earth-like planets in the habitable zone of low-mass stars undergo strong tidal effects that modify their spin states. These planets are expected to host dense atmospheres that can also play an important role in the spin evolution. On one…

Earth and Planetary Astrophysics · Physics 2024-10-02 E. F. S. Valente , A. C. M. Correia , P. Auclair-Desrotour , M. Farhat , J. Laskar

(abbreviated) We consider the problem of the tidal capture or circularisation from large eccentricity of a uniformly rotating object. We extend the self-adjoint formalism introduced in Papaloizou \& Ivanov 2005 (PI) to derive general…

Astrophysics · Physics 2008-11-26 P. B. Ivanov , J. C. B. Papaloizou

We calculate tidal torque due to semi-diurnal thermal tides in rotating hot Jupiters, taking account of the effects of radiative cooling in the envelope and of the planets rotation on the tidal responses. We use a simple Jovian model…

Earth and Planetary Astrophysics · Physics 2019-07-10 Umin Lee , Daiki Murakami

Tidal Downsizing is the modern version of the Kuiper (1951) scenario of planet formation. Detailed simulations of self-gravitating discs, gas fragments, dust grain dynamics, and planet evolutionary calculations are summarised here and used…

Earth and Planetary Astrophysics · Physics 2017-01-18 Sergei Nayakshin

Coastal erosion is a major and growing environmental problem describing the movement of sand caused by tides, waves or currents. Several phenomena contribute to the significant advance of the sea. These include climate change, with rising…

Numerical Analysis · Mathematics 2023-11-16 Mame Gor Ngom , Ibrahima Faye , Diaraf Seck