Theory of Orbits: Volume 1: Integrable Systems and Non-perturbative Methods (Astronomy and Astrophysics Library) - Tapa dura

Boccaletti, Dino; Pucacco, Prof. Giuseppe

 
9783540589631: Theory of Orbits: Volume 1: Integrable Systems and Non-perturbative Methods (Astronomy and Astrophysics Library)
Tapa dura
ISBN 10: 3540589635 ISBN 13: 9783540589631
Editorial: Springer, 2003

Sinopsis

Half a century ago, S. Chandrasekhar wrote these words in the preface to his l celebrated and successful book: In this monograph an attempt has been made to present the theory of stellar dy­ namics as a branch of classical dynamics - a discipline in the same general category as celestial mechanics. [ ... J Indeed, several of the problems of modern stellar dy­ namical theory are so severely classical that it is difficult to believe that they are not already discussed, for example, in Jacobi’s Vorlesungen. Since then, stellar dynamics has developed in several directions and at var­ ious levels, basically three viewpoints remaining from which to look at the problems encountered in the interpretation of the phenomenology. Roughly speaking, we can say that a stellar system (cluster, galaxy, etc.) can be con­ sidered from the point of view of celestial mechanics (the N-body problem with N 1), fluid mechanics (the system is represented by a material con­ tinuum), or statistical mechanics (one defines a distribution function for the positions and the states of motion of the components of the system).

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De la contraportada

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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Editorial
Springer
Año de publicación
2003
Idioma
Inglés
ISBN 10 
3540589635
ISBN 13 
9783540589631
Encuadernación
Tapa dura
Número de edición
2
Número de páginas
412
Contacto del fabricante
no disponible
Persona responsable
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Otras ediciones populares con el mismo título

9783642082108: Theory of Orbits: Volume 1: Integrable Systems and Non-perturbative Methods (Astronomy and Astrophysics Library)

Edición Destacada

ISBN 10:  3642082106 ISBN 13:  9783642082108
Editorial: Springer, 2010
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