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Classical and celestial mechanics : the Recife lectures /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Cabral, Hildeberto, 1940-, Diacu, Florin, 1959-2018
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, N.J. ; Oxford : Princeton University Press, [2002]
Temas:
Acceso en línea:Texto completo

MARC

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245 0 0 |a Classical and celestial mechanics :  |b the Recife lectures /  |c edited by Hildeberto Cabral and Florin Diacu. 
264 1 |a Princeton, N.J. ;  |a Oxford :  |b Princeton University Press,  |c [2002] 
264 4 |c copyright 2002 
300 |a 1 online resource (xviii, 385 pages :)  |b illustrations. 
336 |a text  |b txt  |2 rdacontent  |0 http://id.loc.gov/vocabulary/contentTypes/txt 
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338 |a online resource  |b cr  |2 rdacarrier  |0 http://id.loc.gov/vocabulary/carriers/cr 
504 |a Includes bibliographical references and index. 
505 0 |a Cover Page -- Half-title Page -- Title Page -- Copyright Page -- Contents -- Foreword -- Preface -- Central Configurations and Relative Equilibria for the JV-Body Problem -- 1. Introduction -- 2. Dziobek's Coordinates -- 3. Configurations for the Three-Body Problem -- 4. Configurations in the Four-Body Problem -- 5. Configurations in the Five-Body Problem -- 6. Palmore's Coordinates -- Appendix A: The Area of a Triangle -- Appendix B: Mathematica Code for the Four-Body Problem -- Appendix C: Mathematica Code for the Planar Five-Body Problem -- References 
505 8 |a Singularities of the TV-Body Problem -- 1. Introduction -- 2. First Integrals -- 3. Singularities -- 4. Collisions -- 5. Pseudocollisions -- 6. Particular Cases -- 7. Clustered Configurations -- 8. Examples of Pseudocollisions -- 9. Relationships between Singularities -- 10. Extensions beyond Collision -- 11. Block Regularization -- 12. The Collision Manifold -- 13. The Case -- 14. The Case -- 15. The Case -- 16. Conclusions and Perspectives -- References -- Lectures on the Two-Body Problem -- Introduction -- Lecture 1. Preliminaries -- Lecture 2. Two Solutions by Reduction 
505 8 |a Lecture 3. Why Are Keplerian Orbits Closed? -- Lecture 4. Concerning the Eccentricity Vector -- Lecture 5. Lambert's Theorem -- Bibliography and Author Index -- Normal Forms of Hamiltonian Systems and Stability of Equilibria -- 1. Introduction -- 2. Hamiltonian Systems -- 3. Symplectic Changes of Coordinates and Generating Functions -- 4. Hamiltonian Flows -- 5. Stability of Equilibria -- 6. Normal Forms -- 7. The Linear Normalization -- 8. Some Stability Results -- 9. The Restricted Three-Body Problem -- 10. Deprit-Hori's Normalization Scheme.Proof of Theorem 6.1 -- References 
505 8 |a Poincare's Compactification and Applications to Celestial Mechanics -- 1. Introduction -- 2. Poincare Compactification for Polynomial Vector Fields -- 3. Poincare Compactincation for Polynomial Hamiltonian Vector Fields -- 4. Generic Properties -- 5. Behavior at Infinity in the Monomial Case -- 6. The Kepler Problem -- 6.1 The Kepler Problem on the Line -- 6.2 The Kepler Problem in the Plane -- 7. The Poincare Compactification for Homogeneous Functions -- 8. The Kepler Problem without Regularization -- 8.1 The Kepler Problem on the Line -- 8.2 The Kepler Problem in the Plane 
505 8 |a 9. Hill's Problem -- References -- The Motion of the Moon -- 1. Remarks about the Accuracy of the Solution -- 2. The Equations of Motion -- 3. The Solution Method -- 4. The Intermediate Orbit -- 5. The Terms of First Order in the Inclination -- 6. Terms at First Order in e -- Appendix A: Canonical Transformation to Jacobi Coordinates -- Appendix B: MACSYMA Program for the Intermediate Orbit -- Appendix C: MACSYMA Program for Inclination -- Appendix D: MACSYMA Program for First Order Terms in e -- References -- Lectures on Geometrical Methods in Mechanics 
590 |a JSTOR  |b Books at JSTOR Demand Driven Acquisitions (DDA) 
590 |a JSTOR  |b Books at JSTOR All Purchased 
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650 0 |a Many-body problem. 
650 0 |a Celestial mechanics. 
650 0 |a Mechanics. 
650 2 |a Mechanics 
650 6 |a Problème des N corps. 
650 6 |a Mécanique céleste. 
650 6 |a Mécanique. 
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650 7 |a Many-body problem.  |2 fast  |0 (OCoLC)fst01008543 
650 7 |a Celestial mechanics.  |2 fast  |0 (OCoLC)fst00850133 
700 1 |a Cabral, Hildeberto,  |d 1940-  |1 http://viaf.org/viaf/11662169 
700 1 |a Diacu, Florin,  |d 1959-2018.  |1 http://viaf.org/viaf/59224253 
776 0 8 |i Print version:  |a Cabral, Hildeberto  |t Classical and Celestial Mechanics : The Recife Lectures  |d Princeton : Princeton University Press,c2002  |z 9780691050225 
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