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