In their approach to Earth dynamics the authors consider the
fundamentals of "Jacobi Dynamics" (1987, Reidel) for two reasons.
First, because satellite observations have proved that the Earth
does not stay in hydrostatic equilibrium, which is the physical
basis of today's treatment of geodynamics. And secondly, because
satellite data have revealed a relationship between gravitational
moments and the potential of the Earth's outer force field
(potential energy), which is the basis of "Jacobi Dynamics." This
has also enabled the authors to come back to the derivation of the
classical virial theorem and, after introducing the volumetric
forces and moments, to obtain a generalized virial theorem in the
form of Jacobi's equation. Thus a physical explanation and rigorous
solution was found for the famous Jacobi's equation, where the
measure of the matter interaction is the energy.
The main dynamical effects which become understandable by that
solution can be summarized as follows:
" "the kinetic energy of oscillation of the interacting particles
which explains the physical meaning and nature of the gravitation
forces;
" "separation of the shell's rotation of a self-gravitating body
with respect to the mass density;
difference in angular velocities of the shell rotation;
" "continuity in changing the potential of the outer gravitational
force field together withchanges in density distributionof the
interacting masses (volumetric center of masses);
" "the nature of the precession of the Earth, the Moon and
satellites; the nature of the rotating body's magnetic field and
the generation of the planet's electromagnetic field.As a final
result, the creation of the bodies in the Solar System having
different orbits was discussed. This result is based on the
discovery that all the averaged orbital velocities of the bodies in
the Solar System and the Sun itself are equal to the first cosmic
velocities of their proto-parents during the evolution of their
redistributed mass density.
Audience
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 (astrophysics, celestial mechanics and stellar dynamics
and radiophysics), geophysics (physics and dynamics of the Earth's
body, atmosphere and oceans), planetology and cosmogony, and for
students of celestial, statistical, quantum and relativistic
mechanics and hydrodynamics.
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