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We study analytically the development of gravitational instability in an expanding shell having finite thickness. We consider three models for the radial density profile of the shell: (i) an analytic uniform-density model, (ii) a…

Astrophysics of Galaxies · Physics 2015-05-19 Richard Wunsch , James E. Dale , Jan Palous , Anthony P. Whitworth

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…

Earth and Planetary Astrophysics · Physics 2018-01-24 Benoît Noyelles

We revisit the global modes and instabilities of homogeneous rotating ellipsoidal fluid masses, which are the simplest global models of rotationally and tidally deformed gaseous planets or stars. The tidal flow in a short-period planet may…

Earth and Planetary Astrophysics · Physics 2016-04-20 Adrian J. Barker , Harry J. Braviner , Gordon I. Ogilvie

Planetary topography can either be modeled as a load supported by the lithosphere, or as a dynamical effect due to lithospheric flexure caused by mantle convection. In both cases the response of the lithosphere to external forces can be…

Geophysics · Physics 2008-01-24 Mikael Beuthe

Tidal dissipation in star-planet systems can occur through various mechanisms, among which is the elliptical instability. This acts on elliptically deformed equilibrium tidal flows in rotating fluid planets and stars, and excites inertial…

Earth and Planetary Astrophysics · Physics 2023-07-12 Nils B. de Vries , Adrian J. Barker , Rainer Hollerbach

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…

Solar and Stellar Astrophysics · Physics 2015-06-05 F. Remus , S. Mathis , J. -P. Zahn

The stability of a rotating flow in a triaxial ellipsoidal shell with an imposed temperature difference between inner and outer boundaries is studied numerically. We demonstrate that (i) a stable temperature field encourages the tidal…

Classical Physics · Physics 2010-10-01 David Cébron , Pierre Maubert , Michael Le Bars

Several studies have already considered the influence of tides on the evolution of systems composed of a star and a close-in companion to tentatively explain different observations such as the spin-up of some stars with hot Jupiters, the…

Solar and Stellar Astrophysics · Physics 2015-06-17 David Cébron , Michael Le Bars , Patrice Le Gal , Claire Moutou , J. Leconte , Alban Sauret

Eccentricity tides generate a torque that can drive an ocean planet towards asynchronous rotation states of equilibrium when enhanced by resonances associated with the oceanic tidal modes. We investigate the impact of eccentricity tides on…

Earth and Planetary Astrophysics · Physics 2019-09-18 Pierre Auclair-Desrotour , Jérémy Leconte , Emeline Bolmont , Stéphane Mathis

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…

Geophysics · Physics 2013-02-12 Mikael Beuthe

We study tidal dissipation in models of rotating giant planets with masses in the range $0.1 - 10 M_\mathrm{J}$ throughout their evolution. Our models incorporate a frequency-dependent turbulent effective viscosity acting on equilibrium…

Earth and Planetary Astrophysics · Physics 2023-11-28 Yaroslav A. Lazovik , Adrian J. Barker , Nils B. de Vries , Aurélie Astoul

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…

Earth and Planetary Astrophysics · Physics 2015-06-12 Gordon I. Ogilvie

The presence of celestial companions means that any planet may be subject to three kinds of harmonic mechanical forcing: tides, precession/nutation, and libration. These forcings can generate flows in internal fluid layers, such as fluid…

Earth and Planetary Astrophysics · Physics 2012-03-12 David Cébron , Michael Le Bars , Claire Moutou , Patrice Le Gal

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…

Earth and Planetary Astrophysics · Physics 2021-01-04 Emeline Bolmont , Sylvain N. Breton , Gabriel Tobie , Caroline Dumoulin , Stéphane Mathis , Olivier Grasset

We provide an 'effective theory' of tidal dissipation in extrasolar planet systems by empirically calibrating a model for the equilibrium tide. The model is valid to high order in eccentricity and parameterised by two constants of bulk…

Solar and Stellar Astrophysics · Physics 2015-05-20 Brad Hansen

Tidal dissipation due to convective turbulent viscosity shapes the evolution of a variety of astrophysical binaries. For example, this type of dissipation determines the rate of orbital circularization in a binary with a post-main sequence…

Solar and Stellar Astrophysics · Physics 2020-08-13 Michelle Vick , Dong Lai

I present results from the first global hydrodynamical simulations of the elliptical instability in a tidally deformed gaseous planet (or star) with a free surface. The elliptical instability is potentially important for tidal evolution of…

Earth and Planetary Astrophysics · Physics 2016-04-20 Adrian J. Barker

Since the discovery of an ice particle plume erupting from the south polar terrain on Saturn's moon Enceladus, the geophysical mechanisms driving its activity have been the focus of substantial scientific research. The pattern and…

Earth and Planetary Astrophysics · Physics 2018-10-10 Ben Southworth , Sascha Kempf , Joe Spitale

The geologically active south pole of Enceladus generates a plume of micron-sized particles, which likely form Saturn's tenuous E-ring extending from the orbit of Mimas to Titan. Interactions between these particles and satellites have been…

Earth and Planetary Astrophysics · Physics 2022-05-24 Naoyuki Hirata , Hideaki Miyamoto , Adam P. Showman

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…

Earth and Planetary Astrophysics · Physics 2015-06-04 Sylvio Ferraz-Mello