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

Contributor(s): Steves, B. A [editor.] | Maciejewski, A. J [editor.] | Hendry, M [editor.] | SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: Dordrecht : Springer Netherlands, 2006.Description: XIV, 342 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9781402047060.Other title: Proceedings of the NATO Advanced Study Institute on Chaotic Worlds: from Order to Disorder in Gravitational N-Body Dynamical Systems, held in Cortina, Italy, 8-20 September 2003.Subject(s): Physics | Observations, Astronomical | Astronomy -- Observations | Statistical physics | Dynamical systems | Physics | Astronomy, Observations and Techniques | Statistical Physics, Dynamical Systems and ComplexityDDC classification: 520 Online resources: Click here to access online
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.
In: Springer eBooksSummary: 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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E books E books PK Kelkar Library, IIT Kanpur
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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.

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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