Some remarks about the rotations of a viscous planet and its homogeneous liquid core - Linear theory

Physics

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Earth Core, Earth Rotation, Geodynamics, Geophysical Fluids, Linear Equations, Rotating Fluids, Angular Momentum, Eigenvalues, Kinetic Energy, Love Waves, Mathematical Models, Viscoelasticity

Scientific paper

The development is reported for linear equations governing the rotation of the earth for a model with a Maxwell homogeneous mantle and a homogeneous inviscid fluid core having a differential rotation relative to the mantle. Four eigenfrequencies for the equatorial perturbations in rotation are found. The kinetic and deformation energy resulting from both impulsive and time-constant geophysical sources is investigated. A generalized notation is used to derive an analytical solution for the rotations of the earth and its fluid core due to various excitation sources at the earth's surface and at the core-mantle boundary (CMB). Some results concerning phenomena acting at the CMB which are able to produce a significant shift of the rotation axis are obtained.

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