Chaotic Worlds: from Order to Disorder in Gravitational N-Body Dynamical Systems / Edition 1

by B.A. Steves, A.J. Maciejewski, M. Hendry

Overview

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.

Product Details

ISBN-13:	9781402047053
Publisher:	Springer Netherlands
Publication date:	09/11/2006
Series:	NATO Science Series II: Mathematics, Physics and Chemistry , #227
Edition description:	2006
Pages:	342
Product dimensions:	6.14(w) x 9.21(h) x 0.03(d)

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.