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Chaotic Worlds: from Order to Disorder in Gravitational N-Body Dynamical Systems: NATO Science Series II: Mathematics, Physics and Chemistry, cartea 227

Editat de B.A. Steves, A.J. Maciejewski, M. Hendry
en Limba Engleză Paperback – 12 sep 2006
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.
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Specificații

ISBN-13: 9781402047053
ISBN-10: 1402047053
Pagini: 356
Ilustrații: XIV, 342 p.
Dimensiuni: 156 x 234 x 19 mm
Greutate: 0.5 kg
Ediția:2006
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria NATO Science Series II: Mathematics, Physics and Chemistry

Locul publicării:Dordrecht, Netherlands

Public țintă

Research

Cuprins

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.

Caracteristici

The only textbook giving an up-to-date review of the latest methods of analysis for understanding ordered and chaotic behaviour in gravitational n-body systems and their application to real motion in planetary systems The reviews are written by internationally renowned scientists working at the forefront of their field One of only a few recent textbooks written for PhD level researchers in n-body dynamical systems Provides a comprehensive review from the fundamental mathematics underpinning modern studies of ordered and chaotic behaviour in n-body dynamics to the latest developments and applications