Integrable Systems in Celestial Mechanics

Integrable Systems in Celestial Mechanics

by Diarmuid ï'Mathïna

Hardcover(2008)

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Overview

Shows that exact solutions to the Kepler (two-body), the Euler (two-fixed center), and the Vinti (earth-satellite) problems can all be put in a form that admits the general representation of the orbits and follows a definite shared pattern

Includes a full analysis of the planar Euler problem via a clear generalization of the form of the solution in the Kepler case

Original insights that have hithertofore not appeared in book form

Product Details

ISBN-13: 9780817640965
Publisher: Birkh�user Boston
Publication date: 08/12/2008
Series: Progress in Mathematical Physics , #51
Edition description: 2008
Pages: 234
Product dimensions: 6.10(w) x 9.25(h) x 0.03(d)

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.

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