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

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.

List 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.

Summary

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

• Assisted by: M Hendry (Editor), M. Hendry (Editor), J Maciejewski (Editor), A J Maciejewski (Editor), A. J. Maciejewski (Editor), A.J. Maciejewski (Editor), B. A. Steves (Editor), B.A. Steves (Editor)
• Publisher: Springer Netherlands
• Languages: English
• Product format: Hardback
• Released: 01.07.2009
• EAN: 9781402047046
• ISBN: 978-1-4020-4704-6
• No. of pages: 342
• Weight: 1104 g
• Illustrations: XIV, 342 p.
• Series: NATO Science Series II Mathematics, Physics and Chemistry; Nato Science Series II: NATO Science Series II Mathematics, Physics and Chemistry; NATO Science Series II
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Astronomy; C, Chemistry and Materials Science, Complex systems, Theoretical, Mathematical and Computational Physics, Astronomy, Observations and Techniques, Astronomy—Observations, Observations, Astronomical, Dynamical systems, Dynamics & statics, Statistical physics, Statistical Physics and Dynamical Systems, Chemistry;NATO;Natur;Physics;Science;Series II;mathematics