Integrable problems of celestial mechanics in spaces of constant curvature
By: T.G. Vosmischeva
Series: Astrophysics and space science library -- 295
Publisher: Springer
Published: 2011
Place of publication: Dordrecht; London
Language: eng
Number of pages: 184
ISBN-13: 9789048163823
Subjects: Celestial mechanics; Differentiable dynamical systems; Spaces of constant curvature
Description: This book combines a most interesting area of study, celestial mechanics, with modern geometrical methods in physics. According to recently developed views and research, one of the basic qualitative characteristics of an integrable Hamiltonian system is a structure of the Liouville foliation. A number of interesting results have been obtained. In particular, some of the constructed topological invariants did not appear in integrable cases investigated by many researchers earlier on. The topology of the isoenergy surfaces is also strongly different from what authors presented before. Some new topological effects in the problems of dynamics on spaces of constant curvature have been discovered. At present there are no other books published in this particular area. This book is intended for specialists and post-graduate students in celestial mechanics, differential geometry and applications, and Hamiltonian mechanics.
Notes: Originally published: Dordrecht; London: Kluwer Academic, 2003.

Includes bibliographical references and index.