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Relativistic celestial mechanics of the solar system [[electronic resource] /] / Sergei Kopeikin, Michael Efroimsky, and George Kaplan
| Relativistic celestial mechanics of the solar system [[electronic resource] /] / Sergei Kopeikin, Michael Efroimsky, and George Kaplan |
| Autore | Kopeikin Sergei |
| Pubbl/distr/stampa | Weinheim [Germany], : Wiley-VCH, 2011 |
| Descrizione fisica | 1 online resource (894 p.) |
| Disciplina |
523.2
530.1/5 |
| Altri autori (Persone) |
EfroimskyMichael
KaplanGeorge |
| Soggetto topico |
Celestial mechanics
Relativity (Physics) |
| ISBN |
3-527-63457-6
1-283-37053-0 9786613370532 3-527-63456-8 3-527-63458-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Relativistic Celestial Mechanics of the Solar System; Contents; Preface; Symbols and Abbreviations; References; 1 Newtonian Celestial Mechanics; 1.1 Prolegomena - Classical Mechanics in a Nutshell; 1.1.1 Kepler's Laws; 1.1.2 Fundamental Laws of Motion - from Descartes, Newton, and Leibniz to Poincaré and Einstein; 1.1.3 Newton's Law of Gravity; 1.2 The N-body Problem; 1.2.1 Gravitational Potential; 1.2.2 Gravitational Multipoles; 1.2.3 Equations of Motion; 1.2.4 The Integrals of Motion; 1.2.5 The Equations of Relative Motion with Perturbing Potential; 1.2.6 The Tidal Potential and Force
1.3 The Reduced Two-Body Problem1.3.1 Integrals of Motion and Kepler's Second Law; 1.3.2 The Equations of Motion and Kepler's First Law; 1.3.3 The Mean and Eccentric Anomalies - Kepler's Third Law; 1.3.4 The Laplace-Runge-Lenz Vector; 1.3.5 Parameterizations of the Reduced Two-Body Problem; 1.3.6 The Freedom of Choice of the Anomaly; 1.4 A Perturbed Two-Body Problem; 1.4.1 Prefatory Notes; 1.4.2 Variation of Constants - Osculating Conics; 1.4.3 The Lagrange and Poisson Brackets; 1.4.4 Equations of Perturbed Motion for Osculating Elements 1.4.5 Equations for Osculating Elements in the Euler-Gauss Form1.4.6 The Planetary Equations in the Form of Lagrange; 1.4.7 The Planetary Equations in the Form of Delaunay; 1.4.8 Marking a Minefield; 1.5 Re-examining the Obvious; 1.5.1 Why Did Lagrange Impose His Constraint? Can It Be Relaxed?; 1.5.2 Example - the Gauge Freedom of a Harmonic Oscillator; 1.5.3 Relaxing the Lagrange Constraint in Celestial Mechanics; 1.5.4 The Gauge-Invariant Perturbation Equation in Terms of the Disturbing Force; 1.5.5 The Gauge-Invariant Perturbation Equation in Terms of the Disturbing Function 1.5.6 The Delaunay Equations without the Lagrange Constraint1.5.7 Contact Orbital Elements; 1.5.8 Osculation and Nonosculation in Rotational Dynamics; 1.6 Epilogue to the Chapter; References; 2 Introduction to Special Relativity; 2.1 From Newtonian Mechanics to Special Relativity; 2.1.1 The Newtonian Spacetime; 2.1.2 The Newtonian Transformations; 2.1.3 The Galilean Transformations; 2.1.4 Form-Invariance of the Newtonian Equations of Motion; 2.1.5 The Maxwell Equations and the Lorentz Transformations; 2.2 Building the Special Relativity 2.2.1 Basic Requirements to a New Theory of Space and Time2.2.2 On the "Single-Postulate" Approach to Special Relativity; 2.2.3 The Difference in the Interpretation of Special Relativity by Einstein, Poincaré and Lorentz; 2.2.4 From Einstein's Postulates to Minkowski's Spacetime of Events; 2.3 Minkowski Spacetime as a Pseudo-Euclidean Vector Space; 2.3.1 Axioms of Vector Space; 2.3.2 Dot-Products and Norms; 2.3.3 The Vector Basis; 2.3.4 The Metric Tensor; 2.3.5 The Lorentz Group; 2.3.6 The Poincaré Group; 2.4 Tensor Algebra; 2.4.1 Warming up in Three Dimensions - Scalars, Vectors, What Next? 2.4.2 Covectors |
| Record Nr. | UNINA-9910139748803321 |
Kopeikin Sergei
|
||
| Weinheim [Germany], : Wiley-VCH, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Relativistic celestial mechanics of the solar system [[electronic resource] /] / Sergei Kopeikin, Michael Efroimsky, and George Kaplan
| Relativistic celestial mechanics of the solar system [[electronic resource] /] / Sergei Kopeikin, Michael Efroimsky, and George Kaplan |
| Autore | Kopeikin Sergei |
| Pubbl/distr/stampa | Weinheim [Germany], : Wiley-VCH, 2011 |
| Descrizione fisica | 1 online resource (894 p.) |
| Disciplina |
523.2
530.1/5 |
| Altri autori (Persone) |
EfroimskyMichael
KaplanGeorge |
| Soggetto topico |
Celestial mechanics
Relativity (Physics) |
| ISBN |
3-527-63457-6
1-283-37053-0 9786613370532 3-527-63456-8 3-527-63458-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Relativistic Celestial Mechanics of the Solar System; Contents; Preface; Symbols and Abbreviations; References; 1 Newtonian Celestial Mechanics; 1.1 Prolegomena - Classical Mechanics in a Nutshell; 1.1.1 Kepler's Laws; 1.1.2 Fundamental Laws of Motion - from Descartes, Newton, and Leibniz to Poincaré and Einstein; 1.1.3 Newton's Law of Gravity; 1.2 The N-body Problem; 1.2.1 Gravitational Potential; 1.2.2 Gravitational Multipoles; 1.2.3 Equations of Motion; 1.2.4 The Integrals of Motion; 1.2.5 The Equations of Relative Motion with Perturbing Potential; 1.2.6 The Tidal Potential and Force
1.3 The Reduced Two-Body Problem1.3.1 Integrals of Motion and Kepler's Second Law; 1.3.2 The Equations of Motion and Kepler's First Law; 1.3.3 The Mean and Eccentric Anomalies - Kepler's Third Law; 1.3.4 The Laplace-Runge-Lenz Vector; 1.3.5 Parameterizations of the Reduced Two-Body Problem; 1.3.6 The Freedom of Choice of the Anomaly; 1.4 A Perturbed Two-Body Problem; 1.4.1 Prefatory Notes; 1.4.2 Variation of Constants - Osculating Conics; 1.4.3 The Lagrange and Poisson Brackets; 1.4.4 Equations of Perturbed Motion for Osculating Elements 1.4.5 Equations for Osculating Elements in the Euler-Gauss Form1.4.6 The Planetary Equations in the Form of Lagrange; 1.4.7 The Planetary Equations in the Form of Delaunay; 1.4.8 Marking a Minefield; 1.5 Re-examining the Obvious; 1.5.1 Why Did Lagrange Impose His Constraint? Can It Be Relaxed?; 1.5.2 Example - the Gauge Freedom of a Harmonic Oscillator; 1.5.3 Relaxing the Lagrange Constraint in Celestial Mechanics; 1.5.4 The Gauge-Invariant Perturbation Equation in Terms of the Disturbing Force; 1.5.5 The Gauge-Invariant Perturbation Equation in Terms of the Disturbing Function 1.5.6 The Delaunay Equations without the Lagrange Constraint1.5.7 Contact Orbital Elements; 1.5.8 Osculation and Nonosculation in Rotational Dynamics; 1.6 Epilogue to the Chapter; References; 2 Introduction to Special Relativity; 2.1 From Newtonian Mechanics to Special Relativity; 2.1.1 The Newtonian Spacetime; 2.1.2 The Newtonian Transformations; 2.1.3 The Galilean Transformations; 2.1.4 Form-Invariance of the Newtonian Equations of Motion; 2.1.5 The Maxwell Equations and the Lorentz Transformations; 2.2 Building the Special Relativity 2.2.1 Basic Requirements to a New Theory of Space and Time2.2.2 On the "Single-Postulate" Approach to Special Relativity; 2.2.3 The Difference in the Interpretation of Special Relativity by Einstein, Poincaré and Lorentz; 2.2.4 From Einstein's Postulates to Minkowski's Spacetime of Events; 2.3 Minkowski Spacetime as a Pseudo-Euclidean Vector Space; 2.3.1 Axioms of Vector Space; 2.3.2 Dot-Products and Norms; 2.3.3 The Vector Basis; 2.3.4 The Metric Tensor; 2.3.5 The Lorentz Group; 2.3.6 The Poincaré Group; 2.4 Tensor Algebra; 2.4.1 Warming up in Three Dimensions - Scalars, Vectors, What Next? 2.4.2 Covectors |
| Record Nr. | UNINA-9910817254203321 |
|
Kopeikin Sergei
|
||
| Weinheim [Germany], : Wiley-VCH, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||