A Comparison of the Dynamical Evolution of Planetary Systems

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

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.

• Astrometry
• Celestial mechanics
• Galaxy
• Planet
• Planetary system
• Solar System
• solar
• stellar

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