Periodic Solutions of the N-Body Problem

• Main Author: Meyer, Kenneth R. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1999.
• Edition: 1st ed. 1999.
• Series: Lecture Notes in Mathematics, 1719
• Subjects: 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...

Table of Contents:

• 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.