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Books > Earth & environment > Geography > Cartography, geodesy & geographic information systems (GIS) > Remote sensing
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Jacobi Dynamics - A Unified Theory with Applications to Geophysics, Celestial Mechanics, Astrophysics and Cosmology (Hardcover, 2nd ed. 2011)
Loot Price: R4,730
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Jacobi Dynamics - A Unified Theory with Applications to Geophysics, Celestial Mechanics, Astrophysics and Cosmology (Hardcover, 2nd ed. 2011)
Series: Astrophysics and Space Science Library, 369
Expected to ship within 18 - 22 working days
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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 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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