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|a HS0
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|d JSTOR
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|a (OCoLC)1109224983
|z (OCoLC)1224367413
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|a QB362.M3
|b C52 2002
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|a SCI
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|a 521
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|a UAMI
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|a Classical and celestial mechanics :
|b the Recife lectures /
|c edited by Hildeberto Cabral and Florin Diacu.
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|a Princeton, N.J. ;
|a Oxford :
|b Princeton University Press,
|c [2002]
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|c copyright 2002
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|a 1 online resource (xviii, 385 pages :)
|b illustrations.
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|a text
|b txt
|2 rdacontent
|0 http://id.loc.gov/vocabulary/contentTypes/txt
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|a computer
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|2 rdamedia
|0 http://id.loc.gov/vocabulary/mediaTypes/c
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|a online resource
|b cr
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|a Includes bibliographical references and index.
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|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
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|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
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|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
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|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
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|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
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|a JSTOR
|b Books at JSTOR Demand Driven Acquisitions (DDA)
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|a JSTOR
|b Books at JSTOR All Purchased
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|a JSTOR
|b Books at JSTOR Evidence Based Acquisitions
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|a Many-body problem.
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|a Celestial mechanics.
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|a Mechanics.
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|a Mechanics
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|a Problème des N corps.
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|a Mécanique céleste.
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|a Mécanique.
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|a mechanics (physics)
|2 aat
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|a SCIENCE / Astronomy
|2 bisacsh
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|a Mechanics.
|2 fast
|0 (OCoLC)fst01013446
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|a Many-body problem.
|2 fast
|0 (OCoLC)fst01008543
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|a Celestial mechanics.
|2 fast
|0 (OCoLC)fst00850133
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|a Cabral, Hildeberto,
|d 1940-
|1 http://viaf.org/viaf/11662169
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700 |
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|a Diacu, Florin,
|d 1959-2018.
|1 http://viaf.org/viaf/59224253
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|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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856 |
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|u https://jstor.uam.elogim.com/stable/10.2307/j.ctv17db3nz
|z Texto completo
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|a Internet Archive
|b INAR
|n classicalcelesti0000unse
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938 |
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|a ProQuest Ebook Central
|b EBLB
|n EBL6406914
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938 |
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|a Askews and Holts Library Services
|b ASKH
|n AH37889774
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|a 92
|b IZTAP
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