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A Comparison of the Dynamical Evolution of Planetary Systems

Proceedings of the Sixth Alexander von Humboldt Colloquium on Celestial Mechanics Bad Hofgastein (Austria), 21-27 March 2004

  • Conference proceedings
  • © 2005

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Editors:
  1. Rudolf Dvorak
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  2. Sylvio Ferraz-Mello
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Table of contents (16 papers)

  1. Front Matter

    Pages i-viii
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  2. From Astrometry to Celestial Mechanics: Orbit Determination with Very Short Arcs

    • Andrea Milani, Zoran Knežević
    Pages 1-18

  3. On the stability regions of the Trojan asteroids

    • Rudolf Dvorak, Richard Schwarz
    Pages 19-28

  4. Formal Integrals and Nekhoroshev Stability in a Mapping Model for the Trojan Asteroids

    • Christos Efthymiopoulos
    Pages 29-52

  5. The Observed Trojans and the Global Dynamics Around the Lagrangian Points of the Sun-Jupiter System

    • P. Robutel, F. Gabern, A. Jorba
    Pages 53-69

  6. Chaotic Diffusion and Effective Stability of Jupiter Trojans

    • Kleomenis Tsiganis, Harry Varvoglis, Rudolf Dvorak
    Pages 71-87

  7. Analytical Proper Elements for the Hilda Asteroids I: Construction of a Formal Solution

    • O. Miloni, S. Ferraz-Mello, C. Beaugé
    Pages 89-111

  8. Stability of Co-Orbital Motion in Exoplanetary Systems

    • Bálint Érdi, Zsolt Sándor
    Pages 113-121

  9. The General Solution of the Planar Laplace Problem

    • C. Marchal
    Pages 123-134

  10. Dynamics of 2/1 Resonant Extrasolar Systems Application to Hd82943 and Gliese876

    • Dionyssia Psychoyos, John D. Hadjidemetriou
    Pages 135-156

  11. Global Dynamics in Self-Consistent Models of Elliptical Galaxies

    • C. Kalapotharakos, N. Voglis
    Pages 157-188

  12. Chaotic Motions in the Field of Two Fixed Black Holes

    • G. Contopoulos, M. Harsoula
    Pages 189-217

  13. Discrete Virial Theorem

    • J. E. Howard
    Pages 219-241

  14. Local and Global Diffusion Along Resonant Lines in Discrete Quasi-Integrable Dynamical Systems

    • Claude Froeschle, Massimiliano Guzzo, Elena Lega
    Pages 243-255

  15. The Role of Hyperbolic Invariant Sets in Stickiness Effects

    • Yi-Sui Sun, Li-Yong Zhou, Ji-Lin Zhou
    Pages 257-272

  16. Stellar-Planetary Relations: Atmospheric Stability as a Prerequisite for Planetary Habitability

    • H. Lammer, Yu. N. Kulikov, T. Penz, M. Leitner, H. K. Biernat, N. V. Erkaev
    Pages 273-285

  17. Dynamic Habitability of Extrasolar Planetary Systems

    • W. von Bloh, C. Bounama, S. Franck
    Pages 287-300
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Keywords

About this book

The papers in this volume cover a wide range of subjects covering the most recent developments in Celestial Mechanics from the theoretical point of nonlinear dynamical systems to the application to real problems. We emphasize the papers on the formation of planetary systems, their stability and also the problem of habitable zones in extrasolar planetary systems. A special topic is the stability of Trojans in our planetary system, where more and more realistic dynamical models are used to explain their complex motions: besides the important contribution from the theoretical point of view, the results of several numerical experiments unraveled the structure of the stable zone around the librations points.
This volume will be of interest to astronomers and mathematicians interested in Hamiltonian mechanics and in the dynamics of planetary systems.

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