Theory of Orbits
Volume 1: Integrable Systems and Non-perturbative Methods
by Dino Boccaletti
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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.
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Astrophysics, Physics, Physical geography, OrbitsShowing 1 featured edition. View all 1 editions?
| Edition | Availability |
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1
Theory of Orbits: Volume 1: Integrable Systems and Non-perturbative Methods
1996, Springer Berlin Heidelberg
electronic resource :
in English
3642082106 9783642082108
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- Created July 7, 2019
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| February 27, 2022 | Edited by ImportBot | import existing book |
| February 26, 2022 | Edited by ImportBot | import existing book |
| July 7, 2019 | Created by MARC Bot | Imported from Internet Archive item record |