Integrable Systems in Celestial Mechanics

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, and the Vinti (Earth-satellite) problems. The analysis of these problems is shown to follow a definite shared pattern yielding exact forms for the solutions and the work highlights shared features in the unified treatment of the three problems.

Presents three historical and important problems of celestial mechanics in a modern context Provides as unified treatment of three problems relevant to both celestial and quantum mechanics Includes supplementary material: sn.pub/extras

Contenu
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.