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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.…

天体物理学 · 物理学 2009-06-19 Sylvio Ferraz-Mello , Adrián Rodríguez , Hauke Hussmann

Paper on the creep tide theory and its applications to satellites and planets with emphasis on a new set of differential equations allowing easier numerical studies. The creep tide theory is a new paradigm that does not fix a priori the…

地球与行星天体物理 · 物理学 2020-04-03 Sylvio Ferraz-Mello , Cristian Beaugé , Hugo Alberto Folonier , Gabriel Oliveira Gomes

This paper presents one analytical tidal theory for a viscoelastic multi-layered body with an arbitrary number of homogeneous layers. Starting with the static equilibrium figure, modified to include tide and differential rotation, and using…

地球与行星天体物理 · 物理学 2017-09-13 Hugo A. Folonier , Sylvio Ferraz-Mello

This paper deals with a new formulation of the creep tide theory (Ferraz-Mello, Cel. Mech. Dyn. Astron. {\bf 116}, 109, 2013 $-$ Paper I) and with the tidal dissipation predicted by the theory in the case of stiff bodies whose rotation is…

地球与行星天体物理 · 物理学 2019-01-31 Hugo A. Folonier , Sylvio Ferraz-Mello , Eduardo Andrade-Ines

This paper deals with the application of the creep tide theory (Ferraz-Mello, CeMDA 116, 109, 2013) to the rotation of close-in satellites, Mercury, close-in exoplanets and their host stars. The solutions show two extreme cases: close-in…

地球与行星天体物理 · 物理学 2017-07-31 Sylvio Ferraz-Mello

We discuss the linear response to low-frequency tidal forcing of fluid bodies that are slowly and uniformly rotating, are neutrally stratified and may contain a solid or fluid core. This problem may be regarded as a simplified model of…

地球与行星天体物理 · 物理学 2015-06-12 Gordon I. Ogilvie

This paper reviews the basic equations used in the study of the tidal variations of the rotational and orbital elements of a system formed by one star and one close-in planet as given by the creep tide theory and Darwin's constant time lag…

地球与行星天体物理 · 物理学 2022-06-08 Sylvio Ferraz-Mello

The aim of this letter is to discuss the virtual identity of two recent tidal theories: the creep tide theory of Ferraz-Mello (Cel. Mech. Dyn. Astron. 116, 109, 2013) and the Maxwell model developed by Correia et al. (Astron. Astrophys.…

地球与行星天体物理 · 物理学 2015-07-08 Sylvio Ferraz-Mello

This paper extends the creep tide theory to exoplanetary systems with significant obliquities. The extended theory allows us to obtain the stellar and planetary hydrodynamic equilibrium tides and the evolution of the rotational state of the…

地球与行星天体物理 · 物理学 2025-03-12 Hugo Folonier , Sylvio Ferraz-Mello , Raphael Alves-Silva

Since 1995, more than 500 extrasolar planets have been discovered orbiting very close to their parent star, where they experience strong tidal interactions. Their orbital evolution depends on the physical mechanisms that cause tidal…

太阳与恒星天体物理 · 物理学 2015-06-05 F. Remus , S. Mathis , J. -P. Zahn

[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…

天体物理学 · 物理学 2009-11-10 G. I. Ogilvie , D. N. C. Lin

By solving Laplace's tidal equations with friction terms we study the surface tide on a rapidly rotating body. When $\epsilon=\Omega^2 R/g$, the square of the ratio of dynamical timescale to rotational timescale, is very small for the Earth…

太阳与恒星天体物理 · 物理学 2019-02-13 Xing Wei

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…

地球与行星天体物理 · 物理学 2015-06-11 Michael Efroimsky , Valeri V. Makarov

Tidal dissipation is responsible for circularizing the orbits and synchronizing the spins of solar-type close binary stars, but the mechanisms responsible are not fully understood. Previous work has indicated that significant enhancements…

太阳与恒星天体物理 · 物理学 2022-03-30 Adrian J. Barker

Description of tides is based on the form of dependence of the geometric lag on the tidal frequency. Some authors assume the lag angle to be constant, others set it to be linear in the frequency. The actual dependence of the lag on the…

天体物理学 · 物理学 2012-08-28 Michael Efroimsky

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…

地球与行星天体物理 · 物理学 2021-07-14 F. A. Zoppetti , H. Folonier , A. M. Leiva , C. Beaugé

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…

地球与行星天体物理 · 物理学 2020-09-09 Adrian J. Barker

Most prior works studying tidal interactions in tight star/planet or star/star binary systems have employed linear theory of a viscous fluid in a uniformly-rotating two-dimensional spherical shell. However, compact systems may have…

太阳与恒星天体物理 · 物理学 2023-10-11 Aurélie Astoul , Adrian J. Barker

We simulate the nonlinear hydrodynamical evolution of tidally-excited inertial waves in convective envelopes of rotating stars and giant planets modelled as spherical shells containing incompressible, viscous and adiabatically-stratified…

太阳与恒星天体物理 · 物理学 2023-09-07 Aurélie Astoul , Adrian J. Barker

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…

地球与行星天体物理 · 物理学 2017-07-19 Pierre Auclair-Desrotour , Jacques Laskar , Stéphane Mathis
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