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

• Corporate Author: SpringerLink (Online service)
• Other Authors: Steves, B. A. (Editor), Maciejewski, A. J. (Editor), Hendry, M. (Editor)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2006.
• Subjects: Physics.; Observations, Astronomical.; Astronomy > Observations.; Statistical physics.; Dynamical systems.; Astronomy, Observations and Techniques.; Statistical Physics, Dynamical Systems and Complexity.

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 gra...

Table of Contents:

• Tools of Order
• Canonical perturbation theory for nearly integrable systems
• Periodic orbits in gravitational systems
• Periodic solutions in Gravitational Problems and the Structure of Solution Space
• General properties of three-body systems with Hill-type stability
• Tools for investigation of Chaos and its sources
• The fine structure of Hamiltonian systems revealed using the Fast Lyapunov Indicator
• Fourier analysis of chaotic motions and applications to Celestial mechanics
• Sources of Chaos
• Basics of regularization theory
• Order and chaos in Satellite encounters
• Applications
• Regular motions in extra-solar planetary systems
• Tides on Europa
• Numerical evaluation of Love's solution for Tidal amplitude
• On the general solutions of Hilbert-Einstein field equations in vacuum.