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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. PoincarE'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. The book begins by providing an introduction to celestial mechanics, including Lagrangian and Hamiltonian methods, and both the two and restricted three body problems. It then surveys statistical and perturbation methods for the solution of the general three body problem, providing solutions based on combining orbit calculations with semi-analytic methods for the first time. This book should be essential reading for students in this rapidly expanding field and is suitable for students of celestial mechanics at advanced undergraduate and graduate level.
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Previews available in: English
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Nonfiction, Science, Three-body problemShowing 5 featured editions. View all 5 editions?
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The Three-Body Problem
March 6, 2006, Cambridge University Press
Hardcover
in English
0521852242 9780521852241
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Book Details
First Sentence
"The three-body problem arises in many different contexts in nature."
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- Created April 29, 2008
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December 29, 2022 | Edited by MARC Bot | import existing book |
August 1, 2022 | Edited by dcapillae | Merge works (MRID: 1252) |
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October 8, 2020 | Edited by ImportBot | import existing book |
April 29, 2008 | Created by an anonymous user | Imported from amazon.com record |