Overview

This textbook treats Celestial Mechanics as well as Stellar Dynamics from the common point of view of orbit theory making use of the concepts and techniques from modern geometric mechanics. It starts with elementary Newtonian Mechanics and ends with the dynamics of chaotic motions. The book is meant for students in astronomy and physics alike. Prerequisite is a physicist's knowledge of calculus and differential geometry. Volume 1 begins with classical mechanics and a thorough treatment of the 2-body problem, including regularization, followed by an introduction to the N-body problem with particular attention given to the virial theorem. Then the authors discuss all important non-perturbative aspects of the 3-body problem. A final chapter deals with integrability of Hamilton-Jacobi systems.

Full Product Details

Author:   Dino Boccaletti ,  Prof. Giuseppe Pucacco
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of hardcover 1st ed. 1996
Dimensions:   Width: 15.50cm , Height: 2.10cm , Length: 23.50cm
Weight:   0.629kg
ISBN:  

9783642082108

ISBN 10:   3642082106
Pages:   392
Publication Date:   01 December 2010
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

— The Theory of Orbits from Epicycles to “Chaos”.- 1. Dynamics and Dynamical Systems — Quod Satis.- 2. The Two-Body Problem.- 3. The N-Body Problem.- 4. The Three-Body Problem.- 5. Orbits in Given Potentials.- Mathematical Appendix.- A.1 Spherical Trigonometry.- A.2 Curvilinear Coordinate Systems.- A.3 Riemannian Geometry.- Bibliographical Notes.- Name Index.

Reviews

From the reviews The book is ... didactically written and contains topics from classical to most modern ones, treated rigorously by indicating where complete proofs are to be found. Zentralblatt fur Mathematik, 1999

From the reviews The book is ... didactically written and contains topics from classical to most modern ones, treated rigorously by indicating where complete proofs are to be found. Zentralblatt fur Mathematik, 1999

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