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New Developments in the Dynamics of Planetary Systems

Proceedings of the Fifth Alexander von Humboldt Colloquium on Celestial Mechanics held in Badhofgastein (Austria), 19–25 March 2000

  • Conference proceedings
  • © 2001

Overview

Editors:
  1. Rudolf Dvorak

    1. Unversity of Vienna, Austria

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  2. Jacques Henrard

    1. University of Namur (FUNDP), Belgium

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Table of contents (28 papers)

  1. Front Matter

    Pages i-1
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  2. Statistics for Twenty-First Century Astrometry

    • William H. Jefferys
    Pages 3-16

  3. Synthetic Proper Elements for Outer Main Belt Asteroids

    • Z. Knežević, A. Milani
    Pages 17-46

  4. Invariant Tori in the Secular Motions of the Three-Body Planetary Systems

    • Ugo Locatelli, Antonio Giorgilli
    Pages 47-74

  5. Improvements of Planetary Theories over 6000 Years

    • J. Chapront
    Pages 75-82

  6. The Distribution of Energy Perturbations at Planetary Close Encounters

    • Giovanni B. Valsecchi, Andrea Milani, Giovanni F. Gronchi, Steven R. Chesley
    Pages 83-91

  7. Dynamics of Small Earth-Approachers on Low-Eccentricity Orbits and Implications for Their Origins

    • P. Michel, Ch. Froeschlé
    Pages 93-112

  8. The Phase Space Structure Around L 4 in the Restricted Three-Body Problem

    • Zsolt Sándor, Bálint Érdi, Christos Efthymiopoulos
    Pages 113-123

  9. Why do Trojan ASCs (Not) Escape?

    • Rudolf Dvorak, Kleomenis Tsiganis
    Pages 125-136

  10. The 2/1 and 3/2 Resonant Asteroid Motion: A Symplectic Mapping Approach

    • John Hadjidemetriou, George Voyatzis
    Pages 137-150

  11. Twist and Non-Twist Bifurcations in a System of Coupled Oscillators

    • Galina Stagika, Simos Ichtiaroglou
    Pages 151-160

  12. The Mel’nikov Subharmonic Function and the Non-Existence of Analytic Integrals in Non-Autonomous Systems

    • Efi Meletlidou
    Pages 161-166

  13. On the Structure of Symplectic Mappings. The Fast Lyapunov Indicator: A Very Sensitive Tool

    • Claude Froeschlé, Elena Lega
    Pages 167-195

  14. Crossing of Various Cantori

    • G. Contopoulos, M. Harsoula, N. Voglis
    Pages 197-210

  15. Fractal Dimensions as Chaos Indicators

    • F. Freistetter
    Pages 211-225

  16. Normal Form Invariants Around Spin-Orbit Periodic Orbits

    • Alessandra Celletti, Corrado Falcolini
    Pages 227-241

  17. The Third Integral in a Self-Consistent Galactic Model

    • G. Contopoulos, C. Efthymiopoulos, N. Voglis
    Pages 243-263

  18. Counterrotating Galaxies and Memory of Cosmological Initial Conditions

    • N. Voglis, M. Harsoula, Ch. Efthymiopoulos
    Pages 265-278

  19. The Family P 12 of the Three-Body Problem — the Simplest Family of Periodic Orbits, with Twelve Symmetries per Period

    • C. Marchal
    Pages 279-298

  20. The Caledonian Symmetrical Double Binary Four-Body Problem I: Surfaces of Zero-Velocity Using the Energy Integral

    • A. E. Roy, B. A. Steves
    Pages 299-318
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Keywords

About this book

It is now a well-established tradition that every four years, at the end of winter, a group of 'celestial mechanicians' from all over the world gather in the Austrian Alps at the invitation of R. Dvorak. This time the colloquium was held at Badhofgastein from March 19 to March 25, 2000 and was devoted to the 'New Developments in the Dynamics of Planetary Systems'. The papers covered a large range of questions of current interest: t- oretical questions (resonances, KAM theory, transport, ... ) and questions about numerical tools (synthetic elements, indicators of chaos, ... ) were particularly well represented; of course planetary theories and Near Earth Objects were also quite popular. Three special lectures were delivered in honor of deceased colleagues whom, to our dismay, we will no longer meet at the 'Austrian Colloquia'. W. Jefferys delivered the Heinrich Eichhorn lecture on 'Statistics for the Twenty-first Century Astrometry', a topic on which Heinrich Eichhorn was a specialist. A. Roy delivered a lecture honoring Victor Szehebely on 'Lifting the Darkness: Science in the Third Millenium', in which in wove anecdotes and remembrances of Victor which moved the audience very much. A. Lemaitre spoke in honor of Michele Moons on 'Mech­ anism of Capture in External Resonance'. The end of her talk was devoted to a short and moving biography of Michele illustrated by many slides.

Editors and Affiliations

  • Unversity of Vienna, Austria

    Rudolf Dvorak

  • University of Namur (FUNDP), Belgium

    Jacques Henrard

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