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

• Corporate Author: SpringerLink (Online service)
• Other Authors: Benest, Daniel (Editor, http://id.loc.gov/vocabulary/relators/edt), Froeschle, Claude (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002.
• Edition: 1st ed. 2002.
• Series: Lecture Notes in Physics, 590
• Subjects: Space sciences.; Statistical physics.; Dynamical systems.; Observations, Astronomical.; Astronomy-Observations.; Earth sciences.; Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics).; Complex Systems.; Astronomy, Observations and Techniques.; Earth Sciences, general.; Statistical Physics and Dynamical Systems.

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...

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.