From Newton to Chaos: Modern Techniques for Understanding and Coping with Chaos in N-Body Dynamical Systems by Archie E. Roy

From Newton to Chaos: Modern Techniques for Understanding and Coping with Chaos in N-Body Dynamical…

EditorArchie E. Roy, B.A. Steves

Hardcover | April 30, 1995

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A relatively quantum leap for a single volume, some might say. Over 50 papers from a workshop in Cortina D'Ampezzo, Italy in July and August of 1993, explore how chaos theory and principles have altered the study and understanding of celestial mechanics, particularly by revealing how the accuracy of predictions decay to nonsense at some point far this side of infinity. They cover planetary theory; the dynamics of asteroids, comets, meteors, and natural and artificial satellites; the three-body problem; and other selected topics in dynamics, including their representation and classification of dynamical systems, chaotic scattering in the Gaussian potential, and quaternionic generalizations of the Mendelbrot set. Annotation c. by Book News, Inc., Portland, Or.

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Title:From Newton to Chaos: Modern Techniques for Understanding and Coping with Chaos in N-Body Dynamical…Format:HardcoverDimensions:601 pages, 10 × 7.01 × 0.03 inPublished:April 30, 1995Publisher:Springer US

The following ISBNs are associated with this title:

ISBN - 10:0306449048

ISBN - 13:9780306449048

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Table of Contents

Poincaré's Contribution to Chance and Chaos; V. Szebehely. Planetary Theory: Perturbation Theory: Techniques and Limitations; P.J. Message. Quantitative Methods in Classical Perturbation Theory; A. Giorgilli. Jacobi Geometry and Chaos in Nbody Systems; P. Cipriani, G. Pucacco. Dynamics of Asteroids, Comets, and Meteors: From Order to Chaos: Clustering and Diffusion Processes for Small Bodies in the Solar System; Cl. Froeschlé. Depletion of the Asteroid Belt at Resonances; S. Ferraz-Mello, et al. On the Depletion of the Outer Asteroid Belt; J.G. Ries. Dynamics of Natural and Artificial Satellites: Chaotic Motion in Hill's Lunar Problem; J. Waldvogel, F. Spirig. Hunting for Periodic Orbits Close to that of the Moon in the Restricted Circular Three Body Problem; G.B. Valsecchi, et al. The Three Body Problem: Order Out of Chaos in the Three Body Problem: Regions of Escape; K. Zare, V. Szebehely. Chaos in the Hyperbolic Restricted Three Body Problem; I>J.M. Cors, J. Llibre. Selected Topics in Dynamics: Order in Chaos; G. Contopoulos. Chaos as the True Source of the Irreversibility of Time; C. Marchal> 35 additional articles. Index.