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Large-scale planetary or stellar magnetic fields generated by a dynamo effect are mostly attributed to flows forced by buoyancy forces in electrically conducting fluid layers. However, these large-scale fields may also be controlled by…

Solar and Stellar Astrophysics · Physics 2015-06-22 David Cébron , Rainer Hollerbach

Motivated by understanding the liquid core dynamics of tidally deformed planets and moons, we present a study of incompressible flow driven by latitudinal libration within rigid triaxial ellipsoids. We first derive a laminar solution for…

Fluid Dynamics · Physics 2016-01-11 S. Vantieghem , D. Cébron , J. Noir

We consider the stability of a configuration consisting of a vertical magnetic field in a planar flow on elliptical streamlines in ideal hydromagnetics. In the absence of a magnetic field the elliptical flow is universally unstable (the…

Astrophysics · Physics 2009-11-10 Norman R. Lebovitz , Ellen G. Zweibel

Eccentric Keplerian discs are believed to be unstable to three-dimensional hydrodynamical instabilities driven by the time-dependence of fluid properties around an orbit. These instabilities could lead to small-scale turbulence, and…

Earth and Planetary Astrophysics · Physics 2015-06-23 Adrian J. Barker , Gordon I. Ogilvie

Oceanic tides are a major source of tidal dissipation. They drive the evolution of planetary systems and the rotational dynamics of planets. However, 2D models commonly used for the Earth cannot be applied to extrasolar telluric planets…

Earth and Planetary Astrophysics · Physics 2018-07-18 Pierre Auclair-Desrotour , Stéphane Mathis , Jacques Laskar , Jérémy Leconte

In this chapter, we explore how gravitational interactions drive turbulent flows inside planetary cores and provide an interesting alternative to convection to explain dynamo action and magnetic fields around terrestrial bodies. In the…

Geophysics · Physics 2019-07-04 Thomas Le Reun , Michael Le Bars

Tidal dissipation of kinetic energy, when it is strong enough, tends to synchronize the rotation of planets and moons with the mean orbital motion, or drive it into long-term stable spin-orbit resonances. As the orbital motion undergoes…

Earth and Planetary Astrophysics · Physics 2015-12-23 Valeri V. Makarov , Julien Frouard , Bryan Dorland

(Abriged) The existence of large-scale and long-lived 2D vortices in accretion discs has been debated for more than a decade. They appear spontaneously in several 2D disc simulations and they are known to accelerate planetesimal formation…

Earth and Planetary Astrophysics · Physics 2009-11-13 G. Lesur , J. C. B. Papaloizou

Atmospheric tides can have a strong impact on the rotational dynamics of planets. They are of most importance for terrestrial planets located in the habitable zone of their host star, where their competition with solid tides is likely to…

Earth and Planetary Astrophysics · Physics 2017-09-28 Pierre Auclair-Desrotour , Jacques Laskar , Stéphane Mathis

Vortices are the fundamental units of turbulent flow. Understanding their stability properties therefore provides fundamental insights on the nature of turbulence itself. In this contribution I briefly review the phenomenological aspects of…

Earth and Planetary Astrophysics · Physics 2013-05-30 Wlad Lyra

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…

Earth and Planetary Astrophysics · Physics 2017-07-19 Pierre Auclair-Desrotour , Jacques Laskar , Stéphane Mathis

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…

Earth and Planetary Astrophysics · Physics 2010-05-10 Peter M. Goldreich , Jonathan L. Mitchell

A spherically symmetric hydrodynamic stellar core collapse under gravity is time-dependent and may become unstable once disturbed. Specifically for a homologously collapse of stellar core characterized by a polytropic exponent \Gamma=4/3,…

Solar and Stellar Astrophysics · Physics 2013-10-10 Yu-Qing Lou , Biao Lian

Symmetric instability has broad applications in geophysical and planetary fluid dynamics. It plays a crucial role in the formation of mesoscale rainbands at mid-latitudes on Earth, instability in the ocean's mixed layer, and slantwise…

Fluid Dynamics · Physics 2025-08-11 Yaoxuan Zeng , Malte F. Jansen

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

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…

Earth and Planetary Astrophysics · Physics 2015-06-04 F. Remus , S. Mathis , J. -P. Zahn , V. Lainey

We investigate two possible effects of the tidal field induced by a spherical cluster on its elliptical galaxy members: the modification of the ellipticity of a spherical galaxy and the isophotal alignment in the cluster radial direction of…

Astrophysics · Physics 2015-06-24 L. Ciotti , S. N. Dutta

Origin of turbulence in cold accretion disks, particularly in 3D, which is expected to be hydrodynamic but not magnetohydrodynamic, is a big puzzle. While the flow must exhibit some turbulence in support of the transfer of mass inward and…

Astrophysics · Physics 2016-11-15 Banibrata Mukhopadhyay

Many dynamical interactions can induce eccentricities in astrophysical accretion disks. Disk eccentricities in turn seed a variety of instabilities, even in ideal hydrodynamics. We use 3D nonlinear simulations and 2+1D linear calculations…

Solar and Stellar Astrophysics · Physics 2025-10-30 Janosz W. Dewberry , Henrik N. Latter , Gordon I. Ogilvie , Sebastien Fromang

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