# Dynamics of the Earth: Theory of the Planet's Motion Based on Dynamic Equilibrium

Dynamics of the Earth: Theory of the Planet's Motion Based on Dynamic Equilibrium

Publisher: Springer | pages: 280 | 2010 | ISBN: 9048187222 | File type: PDF | 10,4 mb

In their search for solutions to problems concerning the dynamics of the Earth as a self-gravitating body, the authors have applied the fundamentals found in their book â€śJacobi Dynamicsâ€?(1987, Reidel). First, satellite observations have shown that the Earth does not remain in hydrostatic equilibrium, which forms the physical basis of modern geodynamics. Secondly, satellite data have established a relationship between the planetâ€™s polar moment of inertia and the potential of the Earthâ€™s outer force field, which proves the most basic point of Jacobi dynamics. This allowed the authors to revise their derivation of the classical virial theorem, introducing the concept of a volumetric force and volumetric moment, and so to obtain a generalized virial theorem in the form of Jacobiâ€™s equation.

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