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We calculate small amplitude gravitational and thermal tides of uniformly rotating hot Jupiters composed of a nearly isentropic convective core and a geometrically thin radiative envelope. We treat the fluid in the convective core as a…

Earth and Planetary Astrophysics · Physics 2020-04-22 Umin Lee

In a realistic scenario, the evolution of the rotational dynamics of a celestial or artificial body is subject to dissipative effects. Time-varying non-conservative forces can be due to, for example, a variation of the moments of inertia or…

Earth and Planetary Astrophysics · Physics 2017-03-24 Ioannis Gkolias , Christos Efthymiopoulos , Giuseppe Pucacco , Alessandra Celletti

We study the dissipative dynamics of a fermionic superfluid in presence of two-body losses. We use a variational approach for the Lindblad dynamics and obtain dynamical equations for Anderson's pseudo-spins where dissipation enters as a…

Strongly Correlated Electrons · Physics 2023-05-24 Giacomo Mazza , Marco Schirò

Earth-like planets have anelastic mantles, whereas giant planets may have anelastic cores. As for the fluid parts of a body, the tidal dissipation of such solid regions, gravitationally perturbed by a companion body, highly depends on its…

Earth and Planetary Astrophysics · Physics 2012-08-03 F. Remus , S. Mathis , J. -P. Zahn , V. Lainey

The creep tide theory is used to explore several aspects of the tidal evolution of the planetary system of the M-star LP 791-18 . We discuss the early synchronization of the exo-Earth LP 791-18d and show that the trapping of its rotation in…

Earth and Planetary Astrophysics · Physics 2025-08-06 Sylvio Ferraz-Mello , Thayná Menezes Bechara , Raphael Alves-Silva

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

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…

Earth and Planetary Astrophysics · Physics 2017-09-13 Hugo A. Folonier , Sylvio Ferraz-Mello

Tidal effects have an important impact on the late inspiral of compact binary systems containing neutron stars. Most current models of tidal deformations of neutron stars assume that the tidal bulge is directly related to the tidal field…

General Relativity and Quantum Cosmology · Physics 2016-11-17 Jan Steinhoff , Tanja Hinderer , Alessandra Buonanno , Andrea Taracchini

The non-linear fluid dynamics of a warped accretion disc was investigated in an earlier paper by developing a theory of fully non-linear bending waves in a thin, viscous disc. That analysis is here extended to take proper account of thermal…

Astrophysics · Physics 2009-10-31 G. I. Ogilvie

The distinction between the plasma dynamics dominated by collisional transport versus collective processes has never been rigorously addressed until recently. A recent paper [Yoon et al., Phys. Rev. E 93, 033203 (2016)] formulates for the…

Plasma Physics · Physics 2017-10-12 S. F. Tigik , L. F. Ziebell , P. H. Yoon

It is debated whether close-in giant planets can form in-situ and if not, which mechanisms are responsible for their migration. One of the observable tests for migration theories is the current value of the angle between the stellar…

Earth and Planetary Astrophysics · Physics 2018-10-17 Cilia Damiani , Stéphane Mathis

In 1982, Marshall P. Tulin published a report proposing a framework for reducing the equations for gravity waves generated by moving bodies into a single nonlinear differential equation solvable in closed form [Proc. 14th Symp. on Naval…

Fluid Dynamics · Physics 2015-10-22 Philippe H. Trinh

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

In this paper we consider a wave model with non-effective mass and dissipation terms and provide asymptotic descriptions of its representation of solutions. In particular we conclude sharp estimates for a corresponding energy and estimates…

Analysis of PDEs · Mathematics 2015-05-06 Wanderley Nunes do Nascimento , Jens Wirth

We consider the initial-value problem of abstract wave equations with weak dissipation. We show that under conditions on the dissipation coefficient and its derivative the solutions to the abstract dissipative equation are closely related…

Analysis of PDEs · Mathematics 2007-11-15 Jens Wirth

Differentially rotating, "advection-dominated" accretion flows are considered in which the heat generated by viscous dissipation is retained in the fluid. The equations of time-dependent quasi-spherical accretion are solved in a simplified…

Astrophysics · Physics 2009-10-31 G. I. Ogilvie

There are two main tidal effects which can act on the Local Group dwarf spheroidals (dSphs): tidal stripping and tidal shocking. Using N-body simulations, we show that tidal stripping always leads to flat or rising projected velocity…

Astrophysics · Physics 2009-11-13 J. I. Read , M. I. Wilkinson , N. Wyn Evans , G. Gilmore , Jan T. Kleyna

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…

Solar and Stellar Astrophysics · Physics 2015-05-19 J. C. B. Papaloizou , P. B. Ivanov

In this paper we address the stability of resonantly forced density waves in dense planetary rings. Already by Goldreich & Tremaine (1978) it has been argued that density waves might be unstable, depending on the relationship between the…

Earth and Planetary Astrophysics · Physics 2018-04-23 Marius Lehmann , Juergen Schmidt , Heikki Salo

While the seismic quality factor and phase lag are defined solely by the bulk properties of the mantle, their tidal counterparts are determined both by the bulk properties and self-gravitation of a body as a whole. For a qualitative…

Earth and Planetary Astrophysics · Physics 2012-12-03 Michael Efroimsky
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