Jacobi Dynamics : A Unified Theory With Applications to Geophysics, Celestial Mechanics, Astrophysics and Cosmology

Ferronsky, V. I.; Denisik, S. A.; Ferronsky, S.v.

ISBN 10: 9400735871 / ISBN 13: 9789400735873

Verlag: Springer, 2013

Bestandsnummer des Verkäufers 19714102-n

Inhaltsangabe:

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 with changes in density distribution of 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 equalto 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.

Über die Autorin bzw. den Autor: V.I.Ferronsky obtained his Ph.D. and Dr. Sci. in Nuclear Geophysics. He is Professor of Engineering Geology and Hydrogeology. His positions are: Assistant Professor of Dept. of Soil Mechanics in Civil Engineering Institute, Moscow (1952 -1957); Head of Laboratory of Nuclear Applications in Geology (1958 - 1965) and Deputy Director (1965 - 1970) in the Research Institute of Hydrogeology and Engineering geology, Moscow; Director of the Div. of Research and Laboratories of the International Atomic Energy Agency (1970 - 1973), Vienna; Head of the Department of Isotope Hydrology at the Institute of Water Problems of the USSR Academy of Sciences (1973 - 1983), Moscow; Director of the Div. of Research and Laboratories of the International Atomic Energy Agency (1983 - 1987), Vienna; Principal Researcher of the Paleohydrology of the Caspian Sea Project in Water Problems Institute of the Russian Academy of Sciences (1987 up to now), Moscow. His publications, which are about 300, cover Applied nuclear geophysics, Isotopy of the Earth's hydrosphere, Celestial mechanics and Global dynamics.

Bibliografische Details

Titel: Jacobi Dynamics : A Unified Theory With ...
Verlag: Springer
Erscheinungsdatum: 2013
Einband: Softcover
Zustand: New
Auflage: 2. Auflage