Periodic Solutions of the N-Body Problem

• Κύριος συγγραφέας: Meyer, Kenneth R. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1999.
• Έκδοση: 1st ed. 1999.
• Σειρά: Lecture Notes in Mathematics, 1719
• Θέματα: Global analysis (Mathematics).; Manifolds (Mathematics).; Global Analysis and Analysis on Manifolds.

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. I...

Πίνακας περιεχομένων:

• Equations of celestial mechanics
• Hamiltonian systems
• Central configurations
• Symmetries, integrals, and reduction
• Theory of periodic solutions
• Satellite orbits
• The restricted problem
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• Hill's lunar equations
• The elliptic problem.