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A Comparison of the Dynamical Evolution of Planetary Systems

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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Table of Contents

ANDREA MILANI and ZORAN KNEZEVIC / From Astrometry to Celestial Mechanics: Orbit Determination with Very Short Arcs RUDOLF DVORAK and RICHARD SCHWARZ / On the stability regions of the Trojan asteroids CHRISTOS EFTHYMIOPOULOS / Formal Integrals and Nekhoroshev Stability in a Mapping Model for the Trojan Asteroids P. ROBUTEL, F. GABERN and A. JORBA / The Observed Trojans and the Global Dynamics Around the Lagrangian Points of the Sun-Jupiter System KLEOMENIS TSIGANIS, HARRY VARVOGLIS and RUDOLF DVORAK / Chaotic Diffusion and Effective Stability of Jupiter Trojans O. MILONI, S. FERRAZ-MELLO and C. BEAUGE / Analytical Proper Elements for the Hilda Asteroids I: Construction of a Formal Solutions BALINT ERDI and ZSOLT SANDOR / Stability of Co-orbital Motion in Exoplanetary Systems C. MARCHAL / The General Solution of the Planar Laplace Problem DIONYSSIA PSYCHOYOS and JOHN D. HADJIDEMETRIOU / Dynamics of 2/1 Resonant Extrasolar Systems Application to HD82943 and GLIESE876 C. KALAPOTHARAKOS and N. VOGLIS / Global Dynamics in Self-Consistent Models of Elliptical Galaxies G. CONTOPOULOS and M. HARSOULA / Chaotic Motions in the Field of Two Fixed Black Holes J. E. HOWARD / Discrete Virial Theorem CLAUDE FROESCHLE , MASSIMILIANO GUZZO and ELENA LEGA / Local and Global Diffusion Along Resonant Lines in Discrete Quasi-Integrable Dynamical Systems YI-SUI SUN, LI-YONG ZHOU and JI-LIN ZHOU / The Role of Hyperbolic Invariant Sets in Stickiness Effects H. LAMMER, YU. N. KULIKOV, T. PENZ, M. LEITNER, H. K. BIERNAT and N. V. ERKAEV / Stellar-Planetary Relations: Atmospheric Stability as a Prerequisite for Planetary Habitability W. VON BLOH, C. BOUNAMA and S. FRANCK / Dynamic Habitability of Extrasolar Planetary Systems

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