A Comparison of the Dynamical Evolution of Planetary Systems

by Dvorak, Rudolf; Ferraz-Mello, Sylvio

• ISBN13: 9781402042188
• ISBN10: 1402042183
• Format: Hardcover
• Copyright: 2005-12-19
• Publisher: Springer Verlag

Summary

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.

Table of Contents

ANDREA MILANI and ZORAN KNEŽEVIC
From Astrometry to Celestial Mechanics: Orbit Determination with Very Short Arcs	1	(18)
RUDOLF DVORAK and RICHARD SCHWARZ
On the stability regions of the Trojan asteroids	19	(10)
CHRISTOS EFTHYMIOPOULOS
Formal Integrals and Nekhoroshev Stability in a Mapping Model for the Trojan Asteroids	29	(24)
P. ROBUTEL, F. GABERN and A. JORBA
The Observed Trojans and the Global Dynamics Around the Lagrangian Points of the Sun–Jupiter System	53	(18)
KLEOMENIS TSIGANIS, HARRY VARVOGLIS and RUDOLF DVORAK
Chaotic Diffusion and Effective Stability of Jupiter Trojans	71	(18)
O. MILONI, S. FERRAZ-MELLO and C. BEAUGÉ
Analytical Proper Elements for the Hilda Asteroids I: Construction of a Formal Solutions	89	(24)
BÁLINT ÉRDI and ZSOLT SÁNDOR
Stability of Co-orbital Motion in Exoplanetary Systems	113	(10)
C. MARCHAL
The General Solution of the Planar Laplace Problem	123	(12)
DIONYSSIA PSYCHOYOS and JOHN D. HADJIDEMETRIOU
Dynamics of 2/1 Resonant Extrasolar Systems Application to HD82943 and GLIESE876	135	(22)
C. KALAPOTHARAKOS and N. VOGLIS
Global Dynamics in Self-Consistent Models of Elliptical Galaxies	157	(32)
G. CONTOPOULOS and M. HARSOULA
Chaotic Motions in the Field of Two Fixed Black Holes	189	(30)
J.E. HOWARD
Discrete Virial Theorem	219	(24)
CLAUDE FROESCHLÉ, MASSIMILIANO GUZZO and ELENA LEGA
Local and Global Diffusion Along Resonant Lines in Discrete Quasi-Integrable Dynamical Systems	243	(14)
YI-SUI SUN, LI-YONG ZHOU and JI-LIN ZHOU
The Role of Hyperbolic Invariant Sets in Stickiness Effects	257	(16)
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	273	(14)
W. VON BLOH, C. BOUNAMA and S. FRANCK
Dynamic Habitability of Extrasolar Planetary Systems	287