Theory of Orbits

Volume 1: Integrable Systems and Non-perturbative Methods

Dino Boccaletti, Prof. Giuseppe Pucacco (Autoren)

Buch | Softcover

XIII, 392 Seiten

2010 | 1. Softcover reprint of hardcover 1st ed. 1996
Springer Berlin (Verlag)
978-3-642-08210-8 (ISBN)

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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).

- The Theory of Orbits from Epicycles to "Chaos".- 1. Dynamics and Dynamical Systems - Quod Satis.- 2. The Two-Body Problem.- 3. The N-Body Problem.- 4. The Three-Body Problem.- 5. Orbits in Given Potentials.- Mathematical Appendix.- A.1 Spherical Trigonometry.- A.2 Curvilinear Coordinate Systems.- A.3 Riemannian Geometry.- Bibliographical Notes.- Name Index.

From the reviews
"The book is ... didactically written and contains topics from classical to most modern ones, treated rigorously by indicating where complete proofs are to be found."
Zentralblatt für Mathematik, 1999

Erscheint lt. Verlag	1.12.2010
Reihe/Serie	Astronomy and Astrophysics Library
Zusatzinfo	XIII, 392 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	617 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik
Schlagworte	Astronomy • Celestial mechanics • Chaotic motion • Orbits • Star • Stellar • Stellar dynamics • Three-body problem
ISBN-10	3-642-08210-6 / 3642082106
ISBN-13	978-3-642-08210-8 / 9783642082108
Zustand	Neuware