Integrable Systems in Celestial Mechanics

• Main Author: Ó Mathúna, Diarmuid (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston : Birkhäuser Boston, 2008.
• Series: Progress in Mathematical Physics ; 51
• Subjects: Physics.; Dynamics.; Ergodic theory.; Mechanics.; Astronomy.; Astrophysics.; Cosmology.; Statistical physics.; Dynamical systems.; Theoretical, Mathematical and Computational Physics.; Dynamical Systems and Ergodic Theory.; Statistical Physics, Dynamical Systems and Complexity.; Mathematical Methods in Physics.; Astronomy, Astrophysics and Cosmology.

This work presents a unified treatment of three important integrable problems relevant to both Celestial and Quantum Mechanics. Under discussion are the Kepler (two-body) problem and the Euler (two-fixed center) problem, the latter being the more complex and more instructive, as it exhibits a richer...

Table of Contents:

• General Introduction
• Lagrangian Mechanics
• The Kepler Problem
• The Euler Problem I — Planar Case
• The Euler Problem II — Three-dimensional Case
• The Earth Satellite — General Analysis
• The Earth Satellite — Some Special Orbits.