STABILITY AND CHAOS IN CELESTIAL MECHANICS

Alessandra Celletti

STABILITY AND CHAOS IN CELESTIAL MECHANICS Contemporary celestial mechanics is truly interdisciplinary, exploiting all tools from nonlinear dynamics, and highlighted by a strong interaction between theory and computers. This book presents classical celestial mechanics and its interplay with dynamical systems, exploring the three-body problem and the rotational dynamics through analytical tools such as perturbation theory, KAM theorem and regularization techniques.

Stability and Chaos in Celestial Mechanics
Table of Contents

Preface
Acknowledgements
  1. Order and chaos
  2. Numerical dynamical methods
  3. Keplerís problem
  4. The Three-body problem and the Lagrangian solutions
  5. Rotational dynamics
  6. Perturbation theory
  7. Invariant tori
  8. Long-time stability
  9. Determination of periodic orbits
  10. Regularization theory
Appendices
Bibliography
Index


Extent: 280 pages
Binding: Hardback
Published: 2010
ISBN: 978-3-540-85145-5



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