Order and Chaos in Dynamical Astronomy | Buch

Cover: 9783540433606 | Order and Chaos in Dynamical Astronomy | George Contopoulos | Buch

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Sprache: Englisch

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Beschreibung

There have been many books on Dynamical Astronomy up to now. Many are devoted to Celestial Mechanics, but there are also several books on Stellar and Galactic Dynamics. The first books on stellar dynamics dealt mainly with the statistics of stellar motions (e. g. Smart's "Stellar Dynamics" (1938), or Trumpler and Weaver's "Statistical Astronomy" (1953)). A classical book in this field is Chandrasekhar's "Principles of Stellar Dynamics" (1942) that dealt mainly with the time of relaxation, the solutions of Liouville's equation, and the dynamics of clusters. In the Dover edition of this book (1960) an extended Appendix was added, containing the statistical mechanics of stellar systems, a quite "modern" subject at that time. The need for a classroom book was covered for several years by the book of Mihalas and Routly "Galactic Astronomy" (1969). But the most complete book in this field is Binney and Tremaine's "Galactic Dynamics" (1987). This book covers well the classical topics of stellar dynamics, and many subjects of current interest. Another classical book in dynamical astronomy is the extensive 4-Volume treatise of Hagihara "Celestial Mechanics" (1970, 1972, 1974, 1975). In more recent years much progress has been made on new topics that are of vital interest for stellar and galactic dynamics. The main new topic is Chaos. The progress of the theory of chaos has influenced considerably the area of stellar and galactic dynamics. The study of order and chaos has provided a new dimension in dynamics.

Zusammenfassung

Comprehensive book on galactic dynamics and the application of the concepts of dynamical systems theory to astrophysics since more than a decade

Includes supplementary material: [...]

Inhaltsverzeichnis

From the contents: Historical Introduction.- Order and Chaos in General.- Terminology and Classification of Dynamical Systems.- Integrable Systems.- Third Integral.- Periodic Orbits.- Systems of Two Degrees of Freedom.- Transition from Order to Chaos.- The Last KAM Torus.- Large Perturbations.- Systems with Escapes.- Dynamical Spectra.- Systems of Three Degrees of Freedom.- Systems of N-Degrees of Freedom.- Fractals.- Order and Chaos in Galaxies.- Orbits in the Plane of Symmetry of a Galaxy.- Orbits in 3-D Galaxies.- Theoretical Orbits in Galaxies.- Self-Consistent Models.- N-Body Systems.- Dynamical Spectra of Galaxies.- Other Applications in Dynamical Astronomy.- Order and Chaos in the Solar System.- Relativistic Chaos.- Chaotic Cosmology.- Appendix A: A Particular Application of the Painleve Test.- Appendix B: Construction of an Integrable System with Higher Order Islands.- References.- Index.

Details

Erscheinungsjahr:	2002
Fachbereich:	Astronomie
Genre:	Physik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Reihe:	Astronomy and Astrophysics Library
Inhalt:	xiii 624 S. 305 s/w Illustr. 305 s/w Zeichng.
ISBN-13:	9783540433606
ISBN-10:	3540433600
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Contopoulos, George
Hersteller:	Springer Berlin Springer Berlin Heidelberg Astronomy and Astrophysics Library
Maße:	241 x 160 x 39 mm
Von/Mit:	George Contopoulos
Erscheinungsdatum:	05.09.2002
Gewicht:	1,115 kg

Artikel-ID: 103497217

Zusammenfassung

Comprehensive book on galactic dynamics and the application of the concepts of dynamical systems theory to astrophysics since more than a decade

Includes supplementary material: [...]

Inhaltsverzeichnis

Details

Erscheinungsjahr:	2002
Fachbereich:	Astronomie
Genre:	Physik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Reihe:	Astronomy and Astrophysics Library
Inhalt:	xiii 624 S. 305 s/w Illustr. 305 s/w Zeichng.
ISBN-13:	9783540433606
ISBN-10:	3540433600
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Contopoulos, George
Hersteller:	Springer Berlin Springer Berlin Heidelberg Astronomy and Astrophysics Library
Maße:	241 x 160 x 39 mm
Von/Mit:	George Contopoulos
Erscheinungsdatum:	05.09.2002
Gewicht:	1,115 kg