Ó'Mathúna Integrable Systems in Celestial Mechanics

1. Auflage 2008
ISBN: 978-0-8176-4595-3
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 51, 234 Seiten

Reihe: Progress in Mathematical Physics

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

Autoren/Hrsg.

Ó'Mathúna, Diarmuid

Inhaltsverzeichnis

1;Contents;7
2;Preface;9
3;0 General Introduction;11
4;1 Lagrangian Mechanics;30
5;2 The Kepler Problem;37
6;3 The Euler Problem I — Planar Case;57
7;4 The Euler Problem II — Three-dimensional Case;120
8;5 The Earth Satellite — General Analysis;150
9;6 The Earth Satellite — Some Special Orbits;200
10;Appendix: Calculation and Exhibition of Orbits; The Time- Angle Relation;218
11;References;234
12;Index;238