| Description |
1 online resource (xiv, 329 pages) |
| Series |
Astrophysics and space science library ; 369 |
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Astrophysics and space science library ; 369.
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| Contents |
Jacobi Dynamics; Preface to the Second Edition; Preface to the First Edition; Contents; Chapter 1: Introduction: General Principles and Approaches in Dynamics; 1.1 Principle of Mutual Reversibility; 1.2 Action and Integral Canonical Pairs; 1.3 Integral Characteristics in the Study of Dynamics of Natural Systems; 1.3.1 Method of Moments: Specific Features in Integral Approach and First Moments; Chapter 2: Recent Observations and Understanding Physical Meaning of Jacobi ́s Virial Equation; 2.1 Dynamical Effects Discovered by Space Study |
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2.2 Interpretation of Satellite Orbits and Failure of Hydrostatic Equilibrium of the Earth and the Moon2.3 Imbalance Between the Earth ́s Potential and Kinetic Energy; 2.4 Generalization of Classical Virial Theorem; 2.5 Reduction of Inner Gravitational Field of a Body to the Resultant Envelope of Pressure; Chapter 3: Derivation of Jacobi ́s Virial Equation for Description of Dynamics of Natural Systems; 3.1 Derivation of Jacobi ́s Virial Equation from Newtonian Equations of Motion; 3.2 Derivation of a Generalized Jacobi ́s Virial Equation for Dissipative Systems |
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3.3 Derivation of Jacobi ́s Virial Equation from Eulerian Equations3.4 Derivation of Jacobi ́s Virial Equation from Hamiltonian Equations; 3.5 Derivation of Jacobi ́s Virial Equation in Quantum Mechanics; 3.6 General Covariant Form of Jacobi ́s Virial Equation; 3.7 Relativistic Analogue of Jacobi ́s Virial Equation; 3.8 Universality of Jacobi ́s Virial Equation for Description of Dynamics of Natural Systems; Chapter 4: Solution of Jacobi ́s Virial Equation for Conservative Systems; 4.1 Solution of Jacobi ́s Virial Equation in Classical Mechanics; 4.1.1 The Classical Approach |
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4.1.2 The Dynamic Approach4.2 Solution of the N-Body Problem in the Framework of Conservative System; 4.3 Solution of Jacobi ́s Virial Equation in Hydrodynamics; 4.3.1 The Hydrodynamic Approach; 4.3.2 The Virial Approach; 4.4 The Hydrogen Atom as a Quantum Mechanical Analogue of the Two-Body Problem; 4.5 Solution of a Virial Equation in the Theory of Relativity (Static Approach); Chapter 5: Perturbed Virial Oscillations of a System; 5.1 Analytical Solution of a Generalized Equation of Virial Oscillations; 5.2 Solution of the Virial Equation for a Dissipative System |
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5.3 Solution of the Virial Equation for a System with FrictionChapter 6: Relationship Between Jacobi Function and Potential Energy; 6.1 Asymptotic Limit of Simultaneous Collision of Mass Points for a Conservative System; 6.2 Asymptotic Limit of Simultaneous Collision of Mass Points for Non-conservative Systems; 6.3 Asymptotic Limit of Simultaneous Collision of Charged Particles of a System; 6.4 Relationship Between Jacobi Function and Potential Energy for a System with High Symmetry; 6.4.1 Systems with Spherical Symmetry; 6.4.2 Polytropic Gas Sphere Model |
| Summary |
Produced by experts in the field, this treatise applies the fundamentals of Jacobi dynamics to the physical properties of the bodies in the solar system. It offers material to researchers in various branches of astronomy, geophysics, planetology and cosmogony |
| Analysis |
fysica |
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physics |
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remote sensing |
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fotogrammetrie |
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photogrammetry |
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astronomie |
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astronomy |
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geofysica |
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geophysics |
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geodesie |
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geodesy |
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Physics (General) |
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Fysica (algemeen) |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Many-body problem.
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Dynamics.
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Hamilton-Jacobi equations.
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SCIENCE -- Waves & Wave Mechanics.
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Physique.
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Astronomie.
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Dynamics
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Hamilton-Jacobi equations
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Many-body problem
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| Form |
Electronic book
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| Author |
Denisov, S. A. (Sergeĭ Alekseevich)
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Ferronskiĭ, S. V.
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| ISBN |
9789400704985 |
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9400704984 |
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