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Impact of Modern Dynamics in Astronomy

Proceedings of the IAU Colloquium 172 held in Namur (Belgium), 6–11 July 1998

  • Conference proceedings
  • © 1999

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Editors:
  1. J. Henrard

    1. University of Namur, Belgium

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  2. S. Ferraz-Mello

    1. University of São Paulo, Brazil

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Table of contents (84 papers)

  1. Analytical and Numerical Tools

    1. Conditional Entropy

      • P. Cincotta, C. Simó
      Pages 195-209

    2. Detection of Ordered and Chaotic Motion Using the Dynamical Spectra

      • N. Voglis, G. Contopoulos, C. Efthymiopoulos
      Pages 211-220

    3. Cantori, Islands and Asymptotic Curves in the Stickiness Region

      • C. Efthymiopoulos, G. Contopoulos, N. Voglis
      Pages 221-230

    4. Parallel/Vector Integration Methods for Dynamical Astronomy

      • Toshio Fukushima
      Pages 231-241

    5. Do Average Hamiltonians Exist?

      • S. Ferraz-Mello
      Pages 243-248

    6. Diffusion Character in Four-Dimensional Volume-Preserving Map

      • Yi-Sui Sun, Yan-Ning Fu
      Pages 249-258

    7. The Separatrix Algorithmic Map: Application to the Spin-Orbit Motion

      • Ivan I. Shevchenko
      Pages 259-268

    8. Canonical Variables of the Second Kind and the Reduction of the N-Body Problem

      • John G. Bryant
      Pages 269-280

    9. Motion Near the Unit Circle in the Three-Body Problem

      • Roger A. Broucke
      Pages 281-290

    10. A Global Analysis of the Generalized Sitnikov Problem

      • Steven R. Chesley
      Pages 291-302

    11. The Hamiltonian Dynamics of the Two Gyrostats Problem

      • F. Mondejar, A. Vigueras
      Pages 303-312

  3. Extended Abstracts

    1. Small Bodies in the Solar System

      1. Higher Order and Iterative Theories to Compute Asteroid Mean Elements
        • Z. Knežević, A. Milani
        Pages 359-360
      2. The Asteroid Mass Determination Project at the U.S. Naval Observatory
        • James L. Hilton, Ronald C. Stone
        Pages 361-362
      3. The Asteroid Identification Problem
        • M. E. Sansaturio, Andrea Milani, A. La Spina
        Pages 363-364
      4. Interaction of Resonances and Yarkovsky Non-Gravitational Effects in the Asteroid Belt
        • David Vokrouhlický, Paolo Farinella
        Pages 365-368
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Keywords

About this book

Modem dynamics is increasingly participating in the solution of problems raised by as­ tronomical observations. This new relationship is being fostered on one side by the im­ provements in the observations, which in recent years contributed several discoveries of new systems, such as the objects in the Kuiper belt, the pulsar and star companions, to speak only of the most striking ones, and, on the other hand, by the progresses in modem dynamics. The progresses in modem dynamics are due to two factors: the dissemination of fast computers, allowing the numerical studies of very complex systems by a large number of scientists, and the improvement in our understanding of the complex behaviour of Hamiltonian systems. KAM and Nekhorochev theories have shed a light on the subtle and surprizing interplays between regular and chaotic motions; numerical experiments and analytical approximations have shown how these peculiarities are indeed present in astronomically important systems and are instrumental in understanding their formation and evolution.

Editors and Affiliations

  • University of Namur, Belgium

    J. Henrard

  • University of São Paulo, Brazil

    S. Ferraz-Mello

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