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  • Book
  • © 2002

Singularities in Gravitational Systems

Applications to Chaotic Transport in the Solar System

  • Bridges the gap between advanced textbook material and the research literature
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Physics (LNP, volume 590)

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XI
  2. The Birkhoff and B 3 Regularizing Transformations

    • Maria Gabriella, Della Penna
    Pages 49-62
  3. Perturbative Methods in Regularization Theory

    • Corrado Falcolini
    Pages 63-71
  4. Triple Collision and Close Triple Encounters

    • Jörg Waldvogel
    Pages 81-100
  5. Dynamical and Kinetic Aspects of Collisions

    • Yves Elskens
    Pages 101-113
  6. Chaotic Scattering in Planetary Rings

    • Jean-Marc Petit
    Pages 114-144
  7. Close Encounters in Öpik’s Theory

    • Giovanni B. Valsecchi
    Pages 145-178
  8. Generalized Averaging Principle and Proper Elements for NEAs

    • Giovanni-Federico Gronchi
    Pages 179-211
  9. Back Matter

    Pages 213-215

About this book

Chaos theory plays an important role in modern physics and related sciences, but -, the most important results so far have been obtained in the study of gravitational systems applied to celestial mechanics. The present set of lectures introduces the mathematical methods used in the theory of singularities in gravitational systems, reviews modeling techniques for the simulation of close encounters and presents the state of the art about the study of diffusion of comets, wandering asteroids, meteors and planetary ring particles. The book will be of use to researchers and graduate students alike.

Reviews

"[…] The book contains many interesting and attractive topics for a wide audience, and reaches the high standards of the previous works of the editors." (Antonio Elipe, Celestial Mechanics – An International Journal of Space Dynamics 2004, vol. 89, page 97-98)

Editors and Affiliations

  • O.C.A. Observatoire de Nice, Nice Cedex 4, France

    Daniel Benest, Claude Froeschlé

Bibliographic Information

Buy it now

Buying options

eBook USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 69.95
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access