New Developments in the Dynamics of Planetary Systems: Proceedings of the Fifth Alexander von Humboldt Colloquium on Celestial Mechanics held in Badhofgastein (Austria), 19–25 March 2000

Front Matter....Pages i-1
Statistics for Twenty-First Century Astrometry....Pages 3-16
Synthetic Proper Elements for Outer Main Belt Asteroids....Pages 17-46
Invariant Tori in the Secular Motions of the Three-Body Planetary Systems....Pages 47-74
Improvements of Planetary Theories over 6000 Years....Pages 75-82
The Distribution of Energy Perturbations at Planetary Close Encounters....Pages 83-91
Dynamics of Small Earth-Approachers on Low-Eccentricity Orbits and Implications for Their Origins....Pages 93-112
The Phase Space Structure Around L 4 in the Restricted Three-Body Problem....Pages 113-123
Why do Trojan ASCs (Not) Escape?....Pages 125-136
The 2/1 and 3/2 Resonant Asteroid Motion: A Symplectic Mapping Approach....Pages 137-150
Twist and Non-Twist Bifurcations in a System of Coupled Oscillators....Pages 151-160
The Mel’nikov Subharmonic Function and the Non-Existence of Analytic Integrals in Non-Autonomous Systems....Pages 161-166
On the Structure of Symplectic Mappings. The Fast Lyapunov Indicator: A Very Sensitive Tool....Pages 167-195
Crossing of Various Cantori....Pages 197-210
Fractal Dimensions as Chaos Indicators....Pages 211-225
Normal Form Invariants Around Spin-Orbit Periodic Orbits....Pages 227-241
The Third Integral in a Self-Consistent Galactic Model....Pages 243-263
Counterrotating Galaxies and Memory of Cosmological Initial Conditions....Pages 265-278
The Family P 12 of the Three-Body Problem — the Simplest Family of Periodic Orbits, with Twelve Symmetries per Period....Pages 279-298
The Caledonian Symmetrical Double Binary Four-Body Problem I: Surfaces of Zero-Velocity Using the Energy Integral....Pages 299-318
Application of the Nonrestricted Three-Bodies Problem to the Stellar System ξ UMa....Pages 319-324
Periodic Solutions of the Planetary 5:2 Resonance Three-Body Problem....Pages 325-328
Limits of Stability for Planets in Double Star Systems Using the Fast Lyapunov Indicators....Pages 329-335
On a Fokker-Planck Approach to Asteroidal Transport....Pages 337-340
Fractality in a Galactic Model....Pages 341-347
Transformation Methods for Trigonometric Parallaxes....Pages 349-359
The Search for Exosolar Systems....Pages 361-362
The Two Fixed Centers Problem Revisited....Pages 363-366
The Phase Space Structure of the General Sitnikov Problem....Pages 367-379