Singularities in Gravitational Systems
Applications to Chaotic Transport in the Solar System
Published on 4. September 2002
Book
Hardback
XI, 216 pages
978-3-540-43765-9 (ISBN)
Description
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 / Votes
"[.] 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)
More details
Series
Edition
2002 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XI, 216 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 17 mm
Weight
512 gr
ISBN-13
978-3-540-43765-9 (9783540437659)
DOI
10.1007/3-540-48009-9
Schweitzer Classification
Other editions
Additional editions
Daniel Benest | Claude Froeschle
Singularities in Gravitational Systems
Applications to Chaotic Transport in the Solar System
Book
11/2010
Springer
€53.45
Shipment within 7-9 days
Content
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.