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2006 | Buch

Chaotic Worlds: From Order to Disorder in Gravitational N-Body Dynamical Systems

herausgegeben von: B. A. Steves, A. J. Maciejewski, M. Hendry

Verlag: Springer Netherlands

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Über dieses Buch

Based on the recent NATO Advanced Study Institute "Chaotic Worlds: From Order to Disorder in Gravitational N-Body Dynamical Systems", this state of the art textbook, written by internationally renowned experts, provides an invaluable reference volume for all students and researchers in gravitational n-body systems. The contributions are especially designed to give a systematic development from the fundamental mathematics which underpin modern studies of ordered and chaotic behaviour in n-body dynamics to their application to real motion in planetary systems. This volume presents an up-to-date synoptic view of the subject.

Inhaltsverzeichnis

Frontmatter

Tools of Order

Canonical perturbation theory for nearly integrable systems
Antonio Giorgilli, Ugo Locatelli
Periodic orbits in gravitational systems
John D. Hadjedemetriou
Periodic solutions in Gravitational Problems and the Structure of Solution Space
P. J. Message
General properties of three-body systems with Hill-type stability
C. Marchal

Tools for investigation of Chaos and its sources

Frontmatter
The fine structure of Hamiltonian systems revealed using the Fast Lyapunov Indicator
Claude Froeschlé, Elena Lega
Fourier analysis of chaotic motions and applications to Celestial mechanics
Massimiliano Guzzo

Sources of Chaos

Frontmatter
Basics of regularization theory
Alessandra Celletti
Order and chaos in Satellite encounters
Jüorg Waldvogel

Applications

Frontmatter
Regular motions in extra-solar planetary systems
S. Ferraz-Mello, T. A. Micchtchenko, C. Beauge
Tides on Europa
Richard Greenberg
Numerical evaluation of Love's solution for Tidal amplitude
T. A. Hurford, S. Frey, R. Greenberg
On the general solutions of Hilbert-Einstein field equations in vacuum
C. Marchal
Backmatter
Metadaten
Titel
Chaotic Worlds: From Order to Disorder in Gravitational N-Body Dynamical Systems
herausgegeben von
B. A. Steves
A. J. Maciejewski
M. Hendry
Copyright-Jahr
2006
Verlag
Springer Netherlands
Electronic ISBN
978-1-4020-4706-0
Print ISBN
978-1-4020-4704-6
DOI
https://doi.org/10.1007/978-1-4020-4706-0