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In a recent paper, Wisdom (2007, Icarus, in press) derived concise expressions for the rate of tidal dissipation in a synchronously rotating body for arbitrary orbital eccentricity and obliquity. He provided numerical evidence than the…

天体物理学 · 物理学 2009-11-13 Benjamin Levrard

Spin-orbit coupling is often described in the "MacDonald torque" approach which has become the textbook standard. Within this method, a concise expression for the additional tidal potential, derived by MacDonald (1964; Rev. Geophys. 2,…

地球与行星天体物理 · 物理学 2013-01-22 James G. Williams , Michael Efroimsky

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

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…

地球与行星天体物理 · 物理学 2023-11-28 Yaroslav A. Lazovik , Adrian J. Barker , Nils B. de Vries , Aurélie Astoul

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

Turbulent convection is thought to act as an effective viscosity in damping equilibrium tidal flows, driving spin and orbital evolution in close convective binary systems. Compared to mixing-length predictions, this viscosity ought to be…

太阳与恒星天体物理 · 物理学 2020-09-01 Jérémie Vidal , Adrian J. Barker

Internal dissipation in a tidally perturbed librating body differs from the tidal dissipation in a steadily spinning rotator. First, libration changes the spectral distribution of tidal damping across the tidal modes, as compared to the…

地球与行星天体物理 · 物理学 2018-04-10 Michael Efroimsky

We calculate the rate of ocean waves energy dissipation due to whitecapping by numerical simulation of deterministic phase resolving model for dynamics of ocean surface. Two independent numerical experiments are performed. First, we solve…

大气与海洋物理 · 物理学 2022-06-03 A. O. Korotkevich , A. O. Prokofiev , V. E. Zakharov

In the preceding paper (Efroimsky 2017), we derived an expression for the tidal dissipation rate in a homogeneous near-spherical Maxwell body librating in longitude. Now, by equating this expression to the outgoing energy flux due to the…

地球与行星天体物理 · 物理学 2018-04-10 Michael Efroimsky

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…

太阳与恒星天体物理 · 物理学 2015-05-20 Brad Hansen

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…

地球与行星天体物理 · 物理学 2015-09-23 P. Auclair-Desrotour , S. Mathis , C. Le Poncin-Lafitte

Semidiurnal atmospheric thermal tides are important for terrestrial exoplanets in the habitable zone of their host stars. With solid tides, they torque these planets, thus contributing to determine their rotation states as well as their…

地球与行星天体物理 · 物理学 2017-10-20 Pierre Auclair-Desrotour , Stéphane Mathis , Jacques Laskar

We show that the constant time lag prescription for tidal dissipation follows directly from the equations of motion of a tidally-forced viscous fluid body, given some basic assumptions. They are (i) dissipation results from a viscous force…

地球与行星天体物理 · 物理学 2012-10-15 Aristotle Socrates , Boaz Katz

Decay rates for the energy of solutions of the damped wave equation on the torus are studied. In particular, damping invariant in one direction and equal to a sum of squares of nonnegative functions with a particular number of derivatives…

偏微分方程分析 · 数学 2021-06-18 Perry Kleinhenz

Astrophysical fluid bodies that orbit close to one another induce tidal distortions and flows that are subject to dissipative processes. The spin and orbital motions undergo a coupled evolution over astronomical timescales, which is…

太阳与恒星天体物理 · 物理学 2015-06-19 Gordon I. Ogilvie

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

Tidal dissipation in planetary interiors is one of the key physical mechanisms that drive the evolution of star-planet and planet-moon systems. New constraints are now obtained both in the Solar and exoplanetary systems. Tidal dissipation…

地球与行星天体物理 · 物理学 2014-10-21 M. Guenel , S. Mathis , F. Remus

The primary objective of this thesis is to develop a consistent theoretical framework of dissipative hydrodynamics for a relativistic fluid with spin - hereafter referred to as relativistic dissipative spin hydrodynamics. In this framework,…

高能物理 - 唯象学 · 物理学 2025-12-25 Asaad Daher

Tidal dissipation in planetary interiors is one of the key physical mechanisms that drive the evolution of star-planet and planet-moon systems. New constraints are now obtained both in the Solar and exoplanetary systems. Tidal dissipation…

地球与行星天体物理 · 物理学 2014-07-02 Mathieu Guenel , Stéphane Mathis , Françoise Remus

We review the work of Bryan (1889) on the normal modes of a Maclaurin spheroid, carrying out numerical calculations of the frequencies and spatial forms of these modes that have not been previously published. We study all modes of degree $l…

太阳与恒星天体物理 · 物理学 2014-04-10 Harry J. Braviner , Gordon I. Ogilvie