On the dynamical effects of a heterogeneous and compressible liquid core in the theory of Chandler wobble |
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Authors: | S. M. Molodensky,& E. Groten |
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Affiliation: | Institute of Physics of the Earth, 123810, Bolshaja Gruzinskaja, 10, Moscow, Russia,;Institute of Physical Geodesy, Petersenstrasse 13, D-64287 Darmstadt, Germany |
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Abstract: | The general 3-D scalar equations of motion of the liquid core (with respect to the radial components of displacements and cubic dilatation) are constructed as a superposition of the solutions of ordinary differential equations describing the dynamics of a stably stratified, heterogeneous, compressible and inviscid rotating fluid inside thin spherical layers ( Molodensky & Sasao 1995 ). The estimation of dynamical effects of a homogeneous and incompressible liquid core on the Chandler period (Groten, Lenhardt & Molodensky 1991) is generalized for the case of a heterogeneous, compressible, inviscid and neutrally stratified liquid core. |
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Keywords: | Chandler wobble core stratification Earth rotation liquid outer core Poincaré theory. |
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