The Three-Body Problem
How do three celestial bodies move under their mutual gravitational attraction? This problem has been studied by Isaac Newton and leading mathematicians over the last two centuries. Poincaré's conclusion, that the problem represents an example of chaos in nature, opens the new possibility of using a statistical approach. For the first time this book presents these methods in a systematic way, surveying statistical as well as more traditional methods. This book should be essential reading for students in a rapidly expanding field and is suitable for students of celestial mechanics at advanced undergraduate and graduate level.
1100950363
The Three-Body Problem
How do three celestial bodies move under their mutual gravitational attraction? This problem has been studied by Isaac Newton and leading mathematicians over the last two centuries. Poincaré's conclusion, that the problem represents an example of chaos in nature, opens the new possibility of using a statistical approach. For the first time this book presents these methods in a systematic way, surveying statistical as well as more traditional methods. This book should be essential reading for students in a rapidly expanding field and is suitable for students of celestial mechanics at advanced undergraduate and graduate level.
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The Three-Body Problem

The Three-Body Problem

The Three-Body Problem

The Three-Body Problem

Hardcover(New Edition)

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Overview

How do three celestial bodies move under their mutual gravitational attraction? This problem has been studied by Isaac Newton and leading mathematicians over the last two centuries. Poincaré's conclusion, that the problem represents an example of chaos in nature, opens the new possibility of using a statistical approach. For the first time this book presents these methods in a systematic way, surveying statistical as well as more traditional methods. This book should be essential reading for students in a rapidly expanding field and is suitable for students of celestial mechanics at advanced undergraduate and graduate level.

Product Details

ISBN-13: 9780521852241
Publisher: Cambridge University Press
Publication date: 03/02/2006
Edition description: New Edition
Pages: 356
Product dimensions: 7.01(w) x 10.00(h) x 0.87(d)

About the Author

Mauri Valtonen is a Professor of Astronomy at the University of Turku.

Hannu Karttunen is a Systems Manager at Tuorla Observatory, University of Turku.

Table of Contents

1. Astrophysics and three-body problem; 2. Newtonian mechanics; 3. Two-body problem; 4. Hamiltonian mechanics; 5. The planar restricted circular three body problem and other special cases; 6. Three-body scattering; 7. Escape in the general three body problem; 8. Scattering and capture in the general problem; 9. Perturbations in hierarchical systems; 10. Perurbations in strong three-body encounters; 11. Some astrophysical problems.
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