Skip to main content
SpringerLink
Log in

Singularities in Gravitational Systems

Applications to Chaotic Transport in the Solar System

  • Book
  • © 2002

Overview

Editors:
  1. Daniel Benest

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

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Claude Froeschlé

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

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • 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)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 16.99 USD 54.99
Discount applied 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

Licence this eBook for your library

Institutional subscriptions

Table of contents (10 chapters)

  1. Front Matter

    Pages I-XI
    Download chapter PDF

  2. Singularities, Collisions and Regularization Theory

    • Alessandra Celletti
    Pages 1-24

  3. The Levi-Civita, KS and Radial-Inversion Regularizing Transformations

    • Alessandra Celletti
    Pages 25-48

  4. The Birkhoff and B 3 Regularizing Transformations

    • Maria Gabriella, Della Penna
    Pages 49-62

  5. Perturbative Methods in Regularization Theory

    • Corrado Falcolini
    Pages 63-71

  6. Collisions and Singularities in the n-body Problem

    • Corrado Falcolini
    Pages 72-80

  7. Triple Collision and Close Triple Encounters

    • Jörg Waldvogel
    Pages 81-100

  8. Dynamical and Kinetic Aspects of Collisions

    • Yves Elskens
    Pages 101-113

  9. Chaotic Scattering in Planetary Rings

    • Jean-Marc Petit
    Pages 114-144

  10. Close Encounters in Öpik’s Theory

    • Giovanni B. Valsecchi
    Pages 145-178

  11. Generalized Averaging Principle and Proper Elements for NEAs

    • Giovanni-Federico Gronchi
    Pages 179-211

  12. Back Matter

    Pages 213-215
    Download chapter PDF
Back to top

Keywords

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

Publish with us

Policies and ethics

Back to top

Search

Navigation