Cover Image

Order and Chaos in Dynamical Astronomy /

Show other versions (1)

The study of orbits in dynamical systems and the theory of order and chaos has progressed enormously over the last few decades. It thus became an essential tool in dynamical astronomy. The book is the first to provide a general overview of order and chaos in dynamical astronomy. The progress of the...

Full description

Bibliographic Details
Main Author: Contopoulos, George
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2002.
Series:Astronomy and astrophysics library.
Subjects:
Physics.
Differentiable dynamical systems.
Differential equations.
Astronomy.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 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.