Long Term Evolution of Planetary Systems : Proceedings of the Alexander Von Humboldt Colloquium on Celestial Mechanics, Held in Ramsau, Austria, 13–19 March 1988

Proceedings of the Alexander von Humboldt Colloquium on Celestial Mechanics held in Ramsau, Austria, March 13-19, 1988 Front Matter....Pages i-ix Integration Error Over Very Long Time Spans....Pages 1-34 Alternative Representation of Planetary Perturbations....Pages 35-35 Fitting a Line to a Sine....Pages 37-45 Stable Planetary Orbits Around One Component in Nearby Binary Stars....Pages 47-53 Planet X — The Current Status....Pages 55-68 On Resonance....Pages 69-89 The 3/2 Resonance....Pages 91-98 Sweeping through a second order resonance....Pages 99-112 Secular Resonances: New Results....Pages 113-117 Normal Co-Ordinates and Asymptotic Expansions in Resonance Cases in Celestial Mechanics....Pages 119-125 The Critical Inclination Problem — 30 Years of Progress....Pages 127-138 Limits of Predictability of Gravitational Systems....Pages 139-145 Short and Long Period Orbits....Pages 147-162 Stability of Particle Orbits....Pages 163-176 A Small Example of Arnold Diffusion....Pages 177-184 Area-Preserving Poincaré Mappings of the Unit Disk....Pages 185-191 Two-Body Motion in the Post-Newtonian Approximation....Pages 193-210 The General Kepler Equation and its Solutions....Pages 211-222 Integration Theory for the Restricted Three-Body-Problem with Application to P-Type Orbits....Pages 223-236 Physical Time and Astronomical “Time”....Pages 237-241 Cometary Dynamics....Pages 243-263 Monte Carlo Modelling of Cometary Dynamics....Pages 265-284 Orbital Evolution Studies of Planet-Crossing Asteroids....Pages 285-302 Long Periodic Perturbations of Trojan Asteroids....Pages 303-308 Resonant Asteroids between the Main Belt and Jupiter’s Orbit....Pages 309-317 On the Past Orbital History of Comet P/Halley....Pages 319-322 Long Term Evolution of Comet Halleys Orbit....Pages 323-323 On the Stochasticity of Halley Like Comets....Pages 325-330 Long-Term Evolution of the Orbits of Natural Satellites....Pages 331-348 Elliptical Hill’s Problem (Large and Small Impact Parameters)....Pages 349-359 New Results on the Possible Chaotic Motion of Enceladus....Pages 361-369 Periodic Orbits of the Planetary Type and their Stability....Pages 371-390 Stability of Periodic Resonance-Orbits in the Elliptic Restricted 3-Body Problem....Pages 391-398 Bounded Orbits in the Elliptic Restricted Three-Body Problem....Pages 399-408 Discussion of Current Status of Planet X....Pages 409-412 Relation Between Small Bodies: Discussion....Pages 413-416 Predictability in Dynamical Systems....Pages 417-420 Back Matter....Pages 421-426