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.
Author(s): Rudolf Dvorak, Sylvio Ferraz-Mello
Year: 2005
Language: English
Pages: 301
Table of Contents......Page 6
From Astrometry to Celestial Mechanics: Orbit Determination with Very Short Arcs......Page 10
On the stability regions of the Trojan asteroids......Page 28
Formal Integrals and Nekhoroshev Stability in a Mapping Model for the Trojan Asteroids......Page 38
The Observed Trojans and the Global Dynamics Around the Lagrangian Points of the Sun–Jupiter System......Page 62
Chaotic Diffusion and Effective Stability of Jupiter Trojans......Page 79
Analytical Proper Elements for the Hilda Asteroids I: Construction of a Formal Solutions......Page 96
Stability of Co-orbital Motion in Exoplanetary Systems......Page 119
The General Solution of the Planar Laplace Problem......Page 128
Dynamics of 2/1 Resonant Extrasolar Systems Application to HD82943 and GLIESE876......Page 140
Global Dynamics in Self-Consistent Models of Elliptical Galaxies......Page 162
Chaotic Motions in the Field of Two Fixed Black Holes......Page 194
Discrete Virial Theorem......Page 223
Local and Global Diffusion Along Resonant Lines in Discrete Quasi-Integrable Dynamical Systems......Page 246
The Role of Hyperbolic Invariant Sets in Stickiness Effects......Page 259
Stellar-Planetary Relations: Atmospheric Stability as a Prerequisite for Planetary Habitability......Page 275
Dynamic Habitability of Extrasolar Planetary Systems......Page 288
