Theory of Orbits
Volume 1: Integrable Systems and Non-perturbative Methods
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Author
Contributions
- Pucacco, Giuseppe - Contributor
Publication
1996 - Springer Berlin Heidelberg, Berlin, Heidelberg, Germany
Language
English
Word Count
98,250 words, Guess
Page Count
393 pages
Physical Format
[electronic resource] :
Identifiers
- Open LibraryOL27091764M
- ISBN-139783642082108
- ISBN-103642082106
- OCLC Control Number851390522
Classifications
- DDC520
- LCCQB4
Description
This textbook treats celestial mechanics as well as stellar dynamics from the common point of view of orbit theory making use of 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. The first volume begins with classical mechanics and with 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. They end with a final chapter on integrability of Hamilton-Jacobi systems and the search for constants of motion.
Subjects
Series Statement
- Astronomy and Astrophysics Library
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