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Principes mathématiques de la philosophie naturelle . Tome II / / Isaac Newton
| Principes mathématiques de la philosophie naturelle . Tome II / / Isaac Newton |
| Autore | Newton Isaac |
| Pubbl/distr/stampa | Chicoutimi : , : J.-M. Tremblay, , 2010 |
| Descrizione fisica | 1 online resource |
| Disciplina | 531 |
| Collana | Classiques des sciences sociales |
| Soggetto topico |
Celestial mechanics
Gravitation Mechanics |
| ISBN | 1-4123-6755-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | fre |
| Nota di contenuto | Avertissement de l'éditeur (édition 1756)--Préface historique (de Monsieur de Voltaire)--Préface de Monsieur Newton à la première édition (1686)--Préface de Monsieur Newton à la tête de la seconde édition--Préface de Monsieur Newton à la troisième édition--Préface de M. Cotes (à la présente édition, de 1759)--Sur la physique de Newton, à Madame la Marquise du Chastelet (M. de Voltaire)--Principes mathématiques de la Philosophie Naturelle.--Définitions.--Axiomes ou Lois du Mouvement.--Du mouvement des corps. - Livre Premier.--Section I. - De la méthode des premières et dernières raisons employée dans tout cet ouvrage.--Section II. - De la recherche des forces centripètes.--Section III. - Du mouvement des corps dans les sections coniques excentriques.--Section IV. - De la détermination des orbes elliptiques, paraboliques et hyperboliques, lorsque l'un des foyers est donné.--Section V. - De la détermination des orbites lorsqu'aucun des foyers n'est donné.--Section VI. - De la détermination des mouvements dans des orbes donnés.--Section VII. - De l'ascension et de la descente rectiligne des corps.--Section VIII. - De la détermination des orbes que décrivent des corps sollicités par des forces centripètes quelconques.--Section IX. - Du mouvement des corps dans des orbes mobiles, et du mouvement des apsides.--Section X. - Du mouvement des corps dans des superficies données, et des oscillations des corps suspendus par des fils.--Section XI. - Du mouvement des corps qui s'attirent mutuellement par des forces centripètes.--Section XII. - Des forces attractives des corps sphériques.--Section XIII. - Des forces attractives des corps qui ne sont pas sphériques.--Section XIV. - Du Mouvement des corpuscules attirés par toutes les parties d'un corps quelconque.--Du mouvement des corps. - Livre Second.----Section I. - Du mouvement des corps qui éprouvent une résistance en raison de leur vitesse.--Section II. - Du mouvement des corps qui éprouvent une résistance en raison doublée des vitesses.--Section III. - Du mouvement des corps qui éprouvent des résistances qui sont en partie en raison de la vitesse, et en partie en raison doublée de cette même vitesse.--Section IV. Du mouvement circulaire des corps dans les milieux résistants ... --Section V. - De la densité et de la compression des fluides et de l'hydrostatique.--Section VI. - Du mouvement et de la résistance des corps oscillants.--Section VII. - Des mouvements des fluides et de la résistance des projectiles.--Section VIII. - De la propagation du mouvement dans les fluides.--Section IX. - Du mouvement circulaire des fluides.--TOME II----Du Système du Monde - Livre Troisième.----Règles qu'il faut suivre dans l'étude de la physique.--Phénomènes.--Propositions.--Du mouvement des nœuds de la Lune.--Suivi du--Commentaire des Principes Mathématiques--de la Philosophie Naturelle--Par Madame la Marquise du Chastellet----Exposition abrégée du Système du Monde.--Introduction contenant une histoire abrégée du développement du vrai Système de l'Univers.--Chapitre I. Principaux phénomènes du Système du Monde--Chapitre II. Comment la théorie de M. Newton explique les phénomènes des planètes principales--Chapitre III. De la détermination de la figure de la Terre, selon les principes de M. Newton--Chapitre IV. Comment M. Newton a expliqué la précession des équinoxes.--Chapitre V. Du flux et reflux de la mer--Chapitre VI. Comment M. Newton explique les phénomènes des planètes secondaires, et principalement ceux de la Lune--Chapitre VII. Des comètes--Solution analytique des principaux problèmes qui concernent le Système du Monde--Section I. - Des trajectoires dans toutes sortes d'hypothèses de pesanteur--Section II. - De l'attraction des Corps en ayant égard à leurs figures--Section III. - Explication de la réfraction de la lumière, en employant le principe de l'attraction--Section IV. - De la figure de la Terre--Section V.--Des marées. |
| Record Nr. | UNINA-9910132567203321 |
Newton Isaac
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| Chicoutimi : , : J.-M. Tremblay, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Principles of dynamics / / by Rodney Hill
| Principles of dynamics / / by Rodney Hill |
| Autore | Hill Rodney <1921-2011, > |
| Pubbl/distr/stampa | Oxford : , : Pergamon Press, , 1964 |
| Descrizione fisica | 1 online resource (200 pages) : illustrations |
| Disciplina | 531.3 |
| Soggetto topico |
Dynamics
Celestial mechanics |
| ISBN | 1-4831-3908-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910163946203321 |
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Hill Rodney <1921-2011, >
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| Oxford : , : Pergamon Press, , 1964 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Reading Newton in early modern Europe / / edited by Elizabethanne Boran, Mordechai Feingold
| Reading Newton in early modern Europe / / edited by Elizabethanne Boran, Mordechai Feingold |
| Pubbl/distr/stampa | Leiden, [Netherlands] ; ; Boston, [Massachusetts] : , : Brill, , 2017 |
| Descrizione fisica | 1 online resource (368 pages) |
| Disciplina | 531 |
| Collana | Scientific and Learned Cultures and Their Institutions |
| Soggetto topico |
Mechanics
Celestial mechanics |
| Soggetto genere / forma | Electronic books. |
| ISBN | 90-04-33665-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction / Elizabethanne Boran -- Introducing Newton -- The Philosophiae Naturalis Principia Mathematica in Naples / Claudia Addabbo -- Newton and the Spanish Artillerymen / Juan Navarro Loidi -- The Practical Tradition of Dutch Newtonianism / Gerhard Wiesenfeldt -- Science for Ladies? Elizabeth Carter’s Translation of Algarotti and “popular” Newtonianism in the Eighteenth Century / Sarah Hutton -- Irish Newtonian Physicians and Their Arguments: The Case of Bryan Robinson / Anna Marie Roos -- Challenging Newton -- Controversies over Comets: Isaac Newton, Nicolas Hartsoeker, and Early Modern World-making / Catherine Abou-Nemeh -- ’s Gravesande’s and Van Musschenbroek’s Appropriation of Newton’s Methodological Ideas / Steffen Ducheyne -- Newton’s Concepts of Force among the Leibnizians / Marius Stan -- How Did Berkeley Read Newton? / Luc Peterschmitt -- Remodelling Newton -- Newton’s Reputation as an Alchemist and the Tradition of Chymiatria / William R. Newman -- Isaac Newton, Heretic? Some Eighteenth-Century Perceptions / Mordechai Feingold. |
| Record Nr. | UNINA-9910493186303321 |
| Leiden, [Netherlands] ; ; Boston, [Massachusetts] : , : Brill, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Reading Newton in early modern Europe / / edited by Elizabethanne Boran, Mordechai Feingold
| Reading Newton in early modern Europe / / edited by Elizabethanne Boran, Mordechai Feingold |
| Pubbl/distr/stampa | Leiden, [Netherlands] ; ; Boston, [Massachusetts] : , : Brill, , 2017 |
| Descrizione fisica | 1 online resource (368 pages) |
| Disciplina | 531 |
| Collana | Scientific and Learned Cultures and Their Institutions |
| Soggetto topico |
Mechanics
Celestial mechanics |
| ISBN | 90-04-33665-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction / Elizabethanne Boran -- Introducing Newton -- The Philosophiae Naturalis Principia Mathematica in Naples / Claudia Addabbo -- Newton and the Spanish Artillerymen / Juan Navarro Loidi -- The Practical Tradition of Dutch Newtonianism / Gerhard Wiesenfeldt -- Science for Ladies? Elizabeth Carter’s Translation of Algarotti and “popular” Newtonianism in the Eighteenth Century / Sarah Hutton -- Irish Newtonian Physicians and Their Arguments: The Case of Bryan Robinson / Anna Marie Roos -- Challenging Newton -- Controversies over Comets: Isaac Newton, Nicolas Hartsoeker, and Early Modern World-making / Catherine Abou-Nemeh -- ’s Gravesande’s and Van Musschenbroek’s Appropriation of Newton’s Methodological Ideas / Steffen Ducheyne -- Newton’s Concepts of Force among the Leibnizians / Marius Stan -- How Did Berkeley Read Newton? / Luc Peterschmitt -- Remodelling Newton -- Newton’s Reputation as an Alchemist and the Tradition of Chymiatria / William R. Newman -- Isaac Newton, Heretic? Some Eighteenth-Century Perceptions / Mordechai Feingold. |
| Record Nr. | UNINA-9910792971203321 |
| Leiden, [Netherlands] ; ; Boston, [Massachusetts] : , : Brill, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Reading Newton in early modern Europe / / edited by Elizabethanne Boran, Mordechai Feingold
| Reading Newton in early modern Europe / / edited by Elizabethanne Boran, Mordechai Feingold |
| Pubbl/distr/stampa | Leiden, [Netherlands] ; ; Boston, [Massachusetts] : , : Brill, , 2017 |
| Descrizione fisica | 1 online resource (368 pages) |
| Disciplina | 531 |
| Collana | Scientific and Learned Cultures and Their Institutions |
| Soggetto topico |
Mechanics
Celestial mechanics |
| ISBN | 90-04-33665-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction / Elizabethanne Boran -- Introducing Newton -- The Philosophiae Naturalis Principia Mathematica in Naples / Claudia Addabbo -- Newton and the Spanish Artillerymen / Juan Navarro Loidi -- The Practical Tradition of Dutch Newtonianism / Gerhard Wiesenfeldt -- Science for Ladies? Elizabeth Carter’s Translation of Algarotti and “popular” Newtonianism in the Eighteenth Century / Sarah Hutton -- Irish Newtonian Physicians and Their Arguments: The Case of Bryan Robinson / Anna Marie Roos -- Challenging Newton -- Controversies over Comets: Isaac Newton, Nicolas Hartsoeker, and Early Modern World-making / Catherine Abou-Nemeh -- ’s Gravesande’s and Van Musschenbroek’s Appropriation of Newton’s Methodological Ideas / Steffen Ducheyne -- Newton’s Concepts of Force among the Leibnizians / Marius Stan -- How Did Berkeley Read Newton? / Luc Peterschmitt -- Remodelling Newton -- Newton’s Reputation as an Alchemist and the Tradition of Chymiatria / William R. Newman -- Isaac Newton, Heretic? Some Eighteenth-Century Perceptions / Mordechai Feingold. |
| Record Nr. | UNINA-9910808525003321 |
| Leiden, [Netherlands] ; ; Boston, [Massachusetts] : , : Brill, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Relative equilibria in the 3-dimensional curved n-body problem / / Florin Diacu
| Relative equilibria in the 3-dimensional curved n-body problem / / Florin Diacu |
| Autore | Diacu Florin <1959-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| Descrizione fisica | 1 online resource (92 p.) |
| Disciplina | 531.16 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Many-body problem
Spaces of constant curvature Celestial mechanics |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-1483-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""1. The problem""; ""2. Importance""; ""3. History""; ""4. Results""; ""Chapter 2. BACKGROUND AND EQUATIONS OF MOTION""; ""5. Preliminary developments""; ""6. Equations of motion""; ""7. First integrals""; ""8. Singularities""; ""Chapter 3. ISOMETRIES AND RELATIVE EQUILIBRIA""; ""9. Isometric rotations in _{ }³ and â??_{ }³""; ""10. Some geometric properties of the isometric rotations""; ""11. Relative equilibria""; ""12. Fixed Points""; ""Chapter 4. CRITERIA AND QUALITATIVE BEHAVIOUR""; ""13. Existence criteria for the relative equilibria""
""14. Qualitative behaviour of the relative equilibria in _{ }³""""15. Qualitative behaviour of the relative equilibria in â??_{ }³""; ""Chapter 5. EXAMPLES""; ""16. Examples of -positive elliptic relative equilibria""; ""17. Examples of -positive elliptic-elliptic relative equilibria""; ""18. Examples of -negative elliptic relative equilibria""; ""19. Examples of -negative hyperbolic relative equilibria""; ""20. Examples of -negative elliptic-hyperbolic relative equilibria""; ""Chapter 6. CONCLUSIONS""; ""21. Stability""; ""22. Future perspectives""; ""Acknowledgment"" ""Bibliography"" |
| Record Nr. | UNINA-9910480635503321 |
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Diacu Florin <1959->
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| Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Relative equilibria in the 3-dimensional curved n-body problem / / Florin Diacu
| Relative equilibria in the 3-dimensional curved n-body problem / / Florin Diacu |
| Autore | Diacu Florin <1959-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| Descrizione fisica | 1 online resource (92 p.) |
| Disciplina | 531.16 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Many-body problem
Spaces of constant curvature Celestial mechanics |
| ISBN | 1-4704-1483-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""1. The problem""; ""2. Importance""; ""3. History""; ""4. Results""; ""Chapter 2. BACKGROUND AND EQUATIONS OF MOTION""; ""5. Preliminary developments""; ""6. Equations of motion""; ""7. First integrals""; ""8. Singularities""; ""Chapter 3. ISOMETRIES AND RELATIVE EQUILIBRIA""; ""9. Isometric rotations in _{ }³ and â??_{ }³""; ""10. Some geometric properties of the isometric rotations""; ""11. Relative equilibria""; ""12. Fixed Points""; ""Chapter 4. CRITERIA AND QUALITATIVE BEHAVIOUR""; ""13. Existence criteria for the relative equilibria""
""14. Qualitative behaviour of the relative equilibria in _{ }³""""15. Qualitative behaviour of the relative equilibria in â??_{ }³""; ""Chapter 5. EXAMPLES""; ""16. Examples of -positive elliptic relative equilibria""; ""17. Examples of -positive elliptic-elliptic relative equilibria""; ""18. Examples of -negative elliptic relative equilibria""; ""19. Examples of -negative hyperbolic relative equilibria""; ""20. Examples of -negative elliptic-hyperbolic relative equilibria""; ""Chapter 6. CONCLUSIONS""; ""21. Stability""; ""22. Future perspectives""; ""Acknowledgment"" ""Bibliography"" |
| Altri titoli varianti | Relative equilibria in the three-dimensional curved n-body problem |
| Record Nr. | UNINA-9910796032503321 |
|
Diacu Florin <1959->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Relative equilibria in the 3-dimensional curved n-body problem / / Florin Diacu
| Relative equilibria in the 3-dimensional curved n-body problem / / Florin Diacu |
| Autore | Diacu Florin <1959-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| Descrizione fisica | 1 online resource (92 p.) |
| Disciplina | 531.16 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Many-body problem
Spaces of constant curvature Celestial mechanics |
| ISBN | 1-4704-1483-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""1. The problem""; ""2. Importance""; ""3. History""; ""4. Results""; ""Chapter 2. BACKGROUND AND EQUATIONS OF MOTION""; ""5. Preliminary developments""; ""6. Equations of motion""; ""7. First integrals""; ""8. Singularities""; ""Chapter 3. ISOMETRIES AND RELATIVE EQUILIBRIA""; ""9. Isometric rotations in _{ }³ and â??_{ }³""; ""10. Some geometric properties of the isometric rotations""; ""11. Relative equilibria""; ""12. Fixed Points""; ""Chapter 4. CRITERIA AND QUALITATIVE BEHAVIOUR""; ""13. Existence criteria for the relative equilibria""
""14. Qualitative behaviour of the relative equilibria in _{ }³""""15. Qualitative behaviour of the relative equilibria in â??_{ }³""; ""Chapter 5. EXAMPLES""; ""16. Examples of -positive elliptic relative equilibria""; ""17. Examples of -positive elliptic-elliptic relative equilibria""; ""18. Examples of -negative elliptic relative equilibria""; ""19. Examples of -negative hyperbolic relative equilibria""; ""20. Examples of -negative elliptic-hyperbolic relative equilibria""; ""Chapter 6. CONCLUSIONS""; ""21. Stability""; ""22. Future perspectives""; ""Acknowledgment"" ""Bibliography"" |
| Altri titoli varianti | Relative equilibria in the three-dimensional curved n-body problem |
| Record Nr. | UNINA-9910819072903321 |
|
Diacu Florin <1959->
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||
| Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
| 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-9910139748803321 |
|
Kopeikin Sergei
|
||
| Weinheim [Germany], : Wiley-VCH, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Relativistic celestial mechanics of the solar system / / Sergei Kopeikin, Michael Efroimsky, and George Kaplan
| Relativistic celestial mechanics of the solar system / / Sergei Kopeikin, Michael Efroimsky, and George Kaplan |
| Autore | Kopeikin Sergei |
| Edizione | [1st ed.] |
| 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
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||
| Weinheim [Germany], : Wiley-VCH, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
