Integrable problems of celestial mechanics in spaces of constant curvature

Integrable problems of celestial mechanics in spaces of constant curvature T.G. Vozmischeva is available to download

Integrable problems of celestial mechanics in spaces of constant curvature T.Integrable problems of celestial ... Textbook G. Vozmischeva
Type:	eBook
Released:	2010
Publisher:	Springer
Page Count:	114
Format:	pdf
Language:	English
ISBN-10:	904816382X
ISBN-13:	9789048163823

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.