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.
