Non-linear equations for the rotation of a viscoelastic planet taking into account the influence of a liquid core

Details Non-linear equations for the rotation of a viscoelastic planet taking into account the influence of a liquid core Non-linear equations for the rotation of a viscoelastic planet taking into account the influence of a liquid core

Mar 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991cemda..52...13l&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 52, no. 1, 1991, p. 13-43. Research supported by CNRS and INS

Astronomy and Astrophysics

Astronomy

7

Earth Core, Earth Mantle, Earth Rotation, Nonlinear Equations, Viscoelasticity, Angular Momentum, Rigid Structures, Rotating Bodies

Scientific paper

Nonlinear equations governing the temporal evolution of the vector of instantaneous rotation are developed for an earth with a homogeneous mantle having a viscoelastic Maxwell rheology and with a homogeneous inviscid fluid core. This general theory is investigated using the angular momentum theorem applied to the coupled core-mantle system. It allows to study the influence upon the planetary rotation of a quasi-rigid rotational motion in the liquid core. It also enables to investigate the consequences of excitation sources (e.g., pressure), located at the core-mantle interface. Especially, the influence of viscoelastic variations in the inertia tensors resulting from the rotation itself or from various excitation sources are detailed with the help of a Love number formalism. The equations of the linear theory for an elastic earth with a liquid core, and the nonlinear theory for a viscous planet with a quasi-fluid behavior are shown to be particular cases of the generalized system of equations. Some planetological applications may be derived from the quasi-fluid approximation.

Affiliated with

Also associated with

No associations

Rating

Non-linear equations for the rotation of a viscoelastic planet taking into account the influence of a liquid core does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Non-linear equations for the rotation of a viscoelastic planet taking into account the influence of a liquid core, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-linear equations for the rotation of a viscoelastic planet taking into account the influence of a liquid core will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1604718