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 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.

List 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.

Summary

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.

Additional text

"[…] 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)

Report

"[...] 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)

Product details

• Assisted by: Danie Benest (Editor), Daniel Benest (Editor), Froeschle (Editor), Froeschle (Editor), Claude Froeschle (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 12.09.2002
• EAN: 9783540437659
• ISBN: 978-3-540-43765-9
• No. of pages: 216
• Weight: 468 g
• Illustrations: XI, 216 p.
• Series: Lecture Notes in Physics; Physics and Astronomy Online Library; Lecture Notes in Physics; Physics and Astronomy Online Library
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Astronomy; B, Complex systems, Astronomy, space & time, Theoretical, Mathematical and Computational Physics, Physics and Astronomy, Earth Sciences, Astronomy, Observations and Techniques, Astronomy—Observations, Observations, Astronomical, Dynamical systems, Earth Sciences, general, Space Physics, Space sciences, Dynamics & statics, Statistical physics, Statistical Physics and Dynamical Systems