ENGLISH

Theory of Orbits: Volume 1: Integrable Systems and Non-perturbative Methods

By Dino Boccaletti , Giuseppe Pucacco (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1996
ISBN
978-3-642-08210-8, 978-3-662-03319-7
DOI
10.1007/978-3-662-03319-7
Language
english
Format
PDF
Filesize
9 MB (9603950 bytes)
Series
Astronomy and Astrophysics Library
Edition
1
Pages
392\401
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
AstronomyDynamical Systems and Complexity;ExtraterrestrialObservations and Techniques;Statistical PhysicsSpace Sciences;Geophysics/Geodesy

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.

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