Singularities in Gravitational Systems Applications to Chaotic Transport in the Solar System

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 singula...

Full description

Bibliographic Details
Other Authors: Benest, Daniel (Editor), Froeschle, Claude (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2002, 2002
Edition:1st ed. 2002
Series:Lecture Notes in Physics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Singularities, Collisions and Regularization Theory
  • The Levi-Civita, KS and Radial-Inversion Regularizing Transformations
  • The Birkhoff and B 3 Regularizing Transformations
  • Perturbative Methods in Regularization Theory
  • Collisions and Singularities in the n-body Problem
  • Triple Collision and Close Triple Encounters
  • Dynamical and Kinetic Aspects of Collisions
  • Chaotic Scattering in Planetary Rings
  • Close Encounters in Öpik’s Theory
  • Generalized Averaging Principle and Proper Elements for NEAs