Dynamics of the Earth

In their solutions on the Earth dynamics the authors apply fundamentals of Jacobi Dynamics (1987, Reidel) because of two reasons. First, as it was proved by satellite observations the Earth doesn't stay in hydrostatic equilibrium, which is physical basis of to-day's geodynamics. And secondly, it was found by satellite data that there is relationship between the gravitational moments (moment of the planet's inertia) and the potential of the Earth's outer force field (potential energy), which proves the basic point in construction of Jacobi dynamics. That second reason has allowed to the authors to come back to derivation of the classical virial theorem and by introducing to derivation the volumetric moment to obtain generalized virial theorem in the form of Jacobi's equation. Thus it was found explanation of physical meaning of the famous Jacobi's equation in dynamics and to obtaining its rigorous solution. The main dynamical effects which becomes understandable by that solution are as follows: the kinetic energy of oscillation of the interacted particles which explains physical meaning and nature of the gravitation forces; separation of shells 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 with the reducing envelope of the interacted masses (volumetric center of masses); the nature of the Earth, the Moon and satellite precession; the nature and mechanism of generation of the planet's electromagnetic field; common nature of the gravitational and electromagnetic energy and some others.

The work is logical continuation of the book "Jacobi Dynamics" and 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 body, atmosphere and oceans), planetology and cosmogony, and for students of celestial, statistical, quantum and relativistic mechanics and hydrodynamics.