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From Newton to Chaos

Modern Techniques for Understanding and Coping with Chaos in N-Body Dynamical Systems

  • Archie E. Roy
  • Bonnie A. Steves
Book

Part of the NATO ASI Series book series (NSSB, volume 336)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Poincaré’s Contributions to Chance and Chaos

  3. Planetary Theory

    1. Front Matter
      Pages 4-4
    2. Piero Cipriani, Giuseppe Pucacco
      Pages 39-46
    3. Andrea Milani
      Pages 47-78
    4. John D. Hadjidemetriou
      Pages 79-96
    5. S. Ferraz-Mello
      Pages 97-98
    6. F. Varadi, M. Ghil, W. M. Kaula
      Pages 103-108
    7. I. P. Williams
      Pages 119-126
  4. Dynamics of Asteroids, Comets and Meteors

    1. Front Matter
      Pages 127-127
    2. S. Ferraz-Mello, R. Dvorak, T. A. Michtchenko
      Pages 157-169
    3. Judit Györgyey Ries
      Pages 171-175
    4. Othon C. Winter, Carl D. Murray
      Pages 193-198
    5. I. P. Williams
      Pages 199-208
  5. Dynamics of Natural and Artificial Satellites

  6. The Three Body Problem

    1. Front Matter
      Pages 297-297
    2. Josep M. Cors, Jaume Llibre
      Pages 315-318
    3. L. G. Kiseleva, V. V. Orlov, P. P. Eggleton
      Pages 319-326
    4. Carles Simó, Gerard Gómez, Àngel Jorba, Josep Masdemont
      Pages 343-370
    5. V. V. Markellos, K. E. Papadakis, E. A. Perdios
      Pages 371-377
    6. Colette M. de la Barre, William Kaula
      Pages 379-386
    7. J. Martínez Alfaro, Rosa B. Orellana
      Pages 387-393
    8. John F. Doyle, Bonnie Steves, Jagannathan Gomatam
      Pages 417-422
  7. Selected Topics in Dynamics

    1. Front Matter
      Pages 423-423
    2. G. Contopoulos
      Pages 425-449

About this book

Introduction

The reader will find in this volume the Proceedings of the NATO Advanced Study Institute held in Cortina d' Ampezzo, Italy, between July 25 and August 6, 1993, under the title From Newton to Chaos: Modem Techniques for Understanding and Coping With Chaos inN-Body Dynamical Systems. This institute was the latest in a series of meetings held every three years from 1972 to 1990 in dynamical astronomy, theoretical mechanics and celestial mechanics. The proceedings from these institutes have been well-received in the international community of research workers in these disciplines. The present institute was well attended with 15 series of lectures being given by invited speakers: in addition some 40 presentations were made by the other participants. The majority of these contributions are included in these proceedings. The all-pervading influence of chaos in dynamical systems (of even a few variables) has now been universally recognised by researchers, a recognition forced on us by our ability, using powerful computer hardware and software, to tackle dynamical problems that until twenty-five years ago were intractable. Doubtless it was felt by many that these new techniques provided a break-through in celestial mechanics and its related disciplines. And so they were.

Keywords

Celestial mechanics asteroid astronomy chaos diffusion dynamical systems geometry mechanics moon planet solar system

Editors and affiliations

  • Archie E. Roy
    • 1
  • Bonnie A. Steves
    • 2
  1. 1.Dept. of Physics and AstronomyGlasgow UniversityGlasgowUK
  2. 2.Dept. of MathematicsGlasgow Caledonian UniversityGlasgowUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4899-1085-1
  • Copyright Information Springer-Verlag US 1995
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4899-1087-5
  • Online ISBN 978-1-4899-1085-1
  • Series Print ISSN 0258-1221
  • Buy this book on publisher's site
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