Synopsis
Notes from lectures given by the author at the Universidade Federal de Pernambuco, Recife, Brazil on the area of periodic solutions of the N-body problem. Softcover.
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The N-body problem is the classical prototype of a Hamiltonian system with a large symmetry group and many first integrals. These lecture notes are an introduction to the theory of periodic solutions of such Hamiltonian systems. From a generic point of view the N-body problem is highly degenerate. It is invariant under the symmetry group of Euclidean motions and admits linear momentum, angular momentum and energy as integrals. Therefore, the integrals and symmetries must be confronted head on, which leads to the definition of the reduced space where all the known integrals and symmetries have been eliminated. It is on the reduced space that one can hope for a nonsingular Jacobian without imposing extra symmetries. These lecture notes are intended for graduate students and researchers in mathematics or celestial mechanics with some knowledge of the theory of ODE or dynamical system theory. The first six chapters develops the theory of Hamiltonian systems, symplectic transformations and coordinates, periodic solutions and their multipliers, symplectic scaling, the reduced space etc. The remaining six chapters contain theorems which establish the existence of periodic solutions of the N-body problem on the reduced space.
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Periodic Solutions of the N-Body Problem
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Periodic Solutions of the N-Body Problem (Lecture Notes in Mathematics, 1719)
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Periodic Solutions of the N-Body Problem.
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IX, 144 Seiten, Format 15,5 x 23,5 cm, originalkartonierter u. mattkaschierter Einband (Lecture Notes in Mathematics, Vol. 1719). * References + Index auf den Seiten 139-144. Erhaltung: Auf dem rückseitigen Deckel ein Preis-Etikett (DM 54,00). Sonst keine weiteren Mängel und insgesamt sehr gut erhalten. [Eine größere Sammlung Physik, Mathematik, Astronomie und verwandte Gebiete wird derzeit in den Bestand eingearbeitet. Sie finden diese Titel bei uns in den gleichnamigen Rubriken]. Sprache: Englisch. Seller Inventory # 29675
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Periodic Solutions of the N-Body Problem
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The N-body problem is the classical prototype of a Hamiltonian system with a large symmetry group and many first integrals. These lecture notes are an introduction to the theory of periodic solutions of such Hamiltonian systems. From a generic point of view the N-body problem is highly degenerate. It is invariant under the symmetry group of Euclidean motions and admits linear momentum, angular momentum and energy as integrals. Therefore, the integrals and symmetries must be confronted head on, which leads to the definition of the reduced space where all the known integrals and symmetries have been eliminated. It is on the reduced space that one can hope for a nonsingular Jacobian without imposing extra symmetries. These lecture notes are intended for graduate students and researchers in mathematics or celestial mechanics with some knowledge of the theory of ODE or dynamical system theory. The first six chapters develops the theory of Hamiltonian systems, symplectic transformations and coordinates, periodic solutions and their multipliers, symplectic scaling, the reduced space etc. The remaining six chapters contain theorems which establish the existence of periodic solutions of the N-body problem on the reduced space. 168 pp. Englisch. Seller Inventory # 9783540666301
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Periodic solutions of the N-body problem. Lecture Notes in Mathematics; 1719.
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Periodic Solutions of the N-Body Problem (Lecture Notes in Mathematics, 1719, Band 1719)
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kartoniert kartoniert. Condition: Sehr gut. 144 Seiten, mit Abbildungen, Zust: Gutes Exemplar. Schneller Versand und persönlicher Service - jedes Buch händisch geprüft und beschrieben - aus unserem Familienbetrieb seit über 25 Jahren. Eine Rechnung mit ausgewiesener Mehrwertsteuer liegt jeder unserer Lieferungen bei. Wir versenden mit der deutschen Post. Sprache: Englisch Gewicht in Gramm: 214. Seller Inventory # 494868
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Periodic Solutions of the N-Body Problem
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes supplementary material: sn.pub/extrasEquations of celestial mechanics.- Hamiltonian systems.- Central configurations.- Symmetries, integrals, and reduction.- Theory of periodic solutions.- Satellite orbits.- The restricted problem.- Luna. Seller Inventory # 4897795
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Periodic Solutions of the N-Body Problem
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Introduction.- Equations of Celestial Mechanics.- Hamiltonian Systems.- Central Configurations.- Symmetries.- Integrals and Reduction.- Theory of Periodic Solutions.- Satellite Orbits.- The Restricted Problem.- Lunar Orbits.- Comet Orbits.- Hill's Lunar Equations.- The Elliptic Problem.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 168 pp. Englisch. Seller Inventory # 9783540666301
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Periodic Solutions of the N-Body Problem
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The N-body problem is the classical prototype of a Hamiltonian system with a large symmetry group and many first integrals. These lecture notes are an introduction to the theory of periodic solutions of such Hamiltonian systems. From a generic point of view the N-body problem is highly degenerate. It is invariant under the symmetry group of Euclidean motions and admits linear momentum, angular momentum and energy as integrals. Therefore, the integrals and symmetries must be confronted head on, which leads to the definition of the reduced space where all the known integrals and symmetries have been eliminated. It is on the reduced space that one can hope for a nonsingular Jacobian without imposing extra symmetries. These lecture notes are intended for graduate students and researchers in mathematics or celestial mechanics with some knowledge of the theory of ODE or dynamical system theory. The first six chapters develops the theory of Hamiltonian systems, symplectic transformations and coordinates, periodic solutions and their multipliers, symplectic scaling, the reduced space etc. The remaining six chapters contain theorems which establish the existence of periodic solutions of the N-body problem on the reduced space. Seller Inventory # 9783540666301
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Periodic Solutions of the N-Body Problem
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Taschenbuch. Condition: Neu. Periodic Solutions of the N-Body Problem | Kenneth R. Meyer | Taschenbuch | Lecture Notes in Mathematics | xiv | Englisch | 1999 | Springer | EAN 9783540666301 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Seller Inventory # 102024325
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