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Dynamics of the Earth - Theory of the Planet's Motion Based on Dynamic Equilibrium (Hardcover, 2010 Ed.)
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Dynamics of the Earth - Theory of the Planet's Motion Based on Dynamic Equilibrium (Hardcover, 2010 Ed.)
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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 "Jacobi Dynamics" (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 planet's polar moment of
inertia and the potential of the Earth'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 Jacobi's equation.
The main dynamical effects are: the kinetic energy of oscillation
of the interacting particles, which explains the physical meaning
and nature of gravitational forces; separation of shells of a
self-gravitating body with respect to its mass density; differences
in angular velocities of the shell's rotation; continuity in
variance of the potential of the outer gravitational force field,
together with reductions in the envelope of the interacting masses
(volumetric center of gravity); the nature of Earth, Moon and
satellite precession; the nature and generating mechanism of the
planet's electromagnetic field; the common nature of gravitational
and electromagnetic energy, and other related issues.
The work is a logical continuation of the book "Jacobi Dynamics"
and is intended for researchers, teachers and students engaged in
theoretical and experimental research in various branches of
astronomy, geophysics, planetology and cosmogony, and for students
of celestial, statistical, quantum and relativistic mechanics and
hydrodynamics.
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