Tilt-over mode in a precessing triaxial ellipsoid

Abstract

The tilt-over mode in a precessing triaxial ellipsoid is studied theoretically and numerically. Inviscid and viscous analytical models previously developed for the spheroidal geometry by Poincaré [Bull. Astr. 27, 321 (1910)] and Busse [J. Fluid Mech., 33, 739 (1968)] are extended to this more complex geometry, which corresponds to a tidally deformed spinning astrophysical body. As confirmed by three-dimensional numerical simulations, the proposed analytical model provides an accurate description of the stationary flow in an arbitrary triaxial ellipsoid, until the appearance at more vigorous forcing of time dependent flows driven by tidal and/or precessional instabilities.

http://link.aip.org/link/doi/10.1063/1.3504356

References in corpus (1)

• A systematic numerical study of the tidal instability in a rotating triaxial ellipsoid

Cited by in corpus (8)

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• A systematic numerical study of the tidal instability in a rotating triaxial ellipsoid
• Magnetohydrodynamic simulations of the elliptical instability in triaxial ellipsoids
• Libration driven multipolar instabilities
• Inertial modes of a freely rotating ellipsoidal planet and their relation to nutations