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This paper presents a new theory of the dynamical tides of celestial bodies. It is founded on a Newtonian creep instead of the classical delaying approach of the standard viscoelastic theories and the results of the theory derive mainly…

地球与行星天体物理 · 物理学 2015-06-04 Sylvio Ferraz-Mello

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

A number of synchronous moons are thought to harbor water oceans beneath their outer ice shells. A subsurface ocean frictionally decouples the shell from the interior. This has led to proposals that a weak tidal or atmospheric torque might…

地球与行星天体物理 · 物理学 2010-05-10 Peter M. Goldreich , Jonathan L. Mitchell

The geologic activity at Enceladus's south pole remains unexplained, though tidal deformations are probably the ultimate cause. Recent gravity and libration data indicate that Enceladus's icy crust floats on a global ocean, is rather thin,…

地球与行星天体物理 · 物理学 2017-11-23 Mikael Beuthe

Under tidal forcing, icy satellites with subsurface oceans deform as if the surface were a membrane stretched around a fluid layer. `Membrane worlds' is thus a fitting name for these bodies and membrane theory provides the perfect toolbox…

地球物理 · 物理学 2015-10-26 Mikael Beuthe

The analyses of Titan's gravity field obtained by Cassini space mission suggest the presence of an internal ocean beneath its icy surface. The characterization of the geophysical parameters of the icy shell and the ocean is important to…

地球与行星天体物理 · 物理学 2015-06-18 Andy Richard , Nicolas Rambaux , Benjamin Charnay

In a body periodically strained by tides, heating produced by viscous friction is far from homogeneous. I show here that the distribution of the dissipated power within a spherically stratified body is a linear combination of three angular…

地球物理 · 物理学 2013-02-12 Mikael Beuthe

Several natural satellites of the giant planets have shown evidence of a global internal ocean, coated by a thin, icy crust. This crust is probably viscoelastic, which would alter its rotational response. This response would translate into…

地球与行星天体物理 · 物理学 2018-01-24 Benoît Noyelles

With the discovery of TRAPPIST-1 and its seven planets within 0.06 au, the correct treatment of tidal interactions is becoming necessary. The eccentricity, rotation, and obliquity of the planets of TRAPPIST-1 are indeed the result of tidal…

地球与行星天体物理 · 物理学 2021-01-04 Emeline Bolmont , Sylvain N. Breton , Gabriel Tobie , Caroline Dumoulin , Stéphane Mathis , Olivier Grasset

Earth-like planets have viscoelastic mantles, whereas giant planets may have viscoelastic cores. The tidal dissipation of such solid regions, gravitationally perturbed by a companion body, highly depends on their rheology and on the tidal…

地球与行星天体物理 · 物理学 2015-06-04 F. Remus , S. Mathis , J. -P. Zahn , V. Lainey

We constructed a 6-degrees of freedom rotational model of Titan as a 3-layer body consisting of a rigid core, a fluid global ocean, and a floating ice shell. The ice shell exhibits partially-compensated lateral thickness variations in order…

地球与行星天体物理 · 物理学 2014-03-11 Benoit Noyelles , Francis Nimmo

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…

太阳与恒星天体物理 · 物理学 2021-09-20 A. Astoul , A. J. Barker

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 can alter the spins of tidally interacting stars and planets, usually over shorter timescales than the tidal damping of orbital separations or eccentricities. Simple tidal models predict that, in eccentric binary or planetary…

太阳与恒星天体物理 · 物理学 2024-07-16 Janosz W. Dewberry

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

In this paper we present a new approach to tidal theory. Assuming a Maxwell viscoelastic rheology, we compute the instantaneous deformation of celestial bodies using a differential equation for the gravity field coefficients. This method…

地球与行星天体物理 · 物理学 2014-11-19 Alexandre C. M. Correia , Gwenaël Boué , Jacques Laskar , Adrián Rodríguez

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

We perform direct numerical simulations of the tidal encounter of a rotating planet on a highly eccentric or parabolic orbit about a central star formulated as an initial value problem. This approach enables us to extend previous work of…

太阳与恒星天体物理 · 物理学 2015-05-19 J. C. B. Papaloizou , P. B. Ivanov

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

We study how stably stratified or semi-convective layers alter tidal dissipation rates associated with the generation of inertial, gravito-inertial, interfacial and surface gravity waves in rotating giant planets. We explore scenarios in…

地球与行星天体物理 · 物理学 2023-11-07 Christina M. Pontin , Adrian J. Barker , Rainer Hollerbach
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