Qualitative and Quantitative Behaviour of Planetary Systems: Proceedings of the Third Alexander von Humboldt Colloquium on Celestial Mechanics

Front Matter....Pages i-ix
Review of Planetary and Satellite Theories....Pages 1-12
The Mystery of Pluto’s Mass....Pages 13-26
Recent Progress in the Theory and Application of Symplectic Integrators....Pages 27-43
Stable Planetary Orbits Around One Component in Nearby Binary Stars. II....Pages 45-50
Stability of Outer Planetary Orbits Around Binary Stars: A Comparison of Hill’s and Laplace’s Stability Criteria....Pages 51-68
An Excess Motion of the Ascending Node of Mercury in the Observations Used by Le Verrier....Pages 69-69
Numerical Results to the Sitnikov-Problem....Pages 71-80
A Computer Aided Analysis of the Sitnikov Problem....Pages 81-98
The Original Sitnikov Article — New Insights....Pages 99-101
Proper Elements: What are They ?....Pages 103-119
The High-Eccentricity Libration of the Hildas II. Synthetic-Theory Approach....Pages 121-129
A Stability Study of Asteroid Families near the 3:1 and 5:2 Resonance with Jupiter....Pages 131-141
Chaotic Behaviour of Trajectories for the Asteroidal Resonances....Pages 143-152
Low-Eccentricity Motion of Asteroids near the 2/1 Jovian Resonance....Pages 153-162
Numerical Experiments in the 3/1 and v 6 Overlapping Resonance Region....Pages 163-176
An Introduction to Hamiltonian Dynamical Systems and Practical Perturbation Methods: New Insight by Successive Elimination of Perturbation Harmonics....Pages 177-190
Frequency Analysis of a Dynamical System....Pages 191-196
An Application of KAM Theory to the Planetary Three Body Problem....Pages 197-199
Resonant Motion in the Restricted Three Body Problem....Pages 201-219
A Fourth-Order Solution of the Ideal Resonance Problem....Pages 221-230
Wavelet Analysis and Applications to Some Dynamical Systems....Pages 231-262
Wavelet Analysis of the Standard Map: Structure and Scaling....Pages 263-272
Asteroids: 2/1 Resonance and High Eccentricity....Pages 273-276
On the Second Order Long-Period Motion of Hyperion....Pages 277-284
The Problem of Critical Inclination Combined with a Resonance in Mean Motion in Artificial Satellite Theory....Pages 285-286
Meteorites from the Asteroid 6 Hebe....Pages 287-305
Generalized Lyapunov Characteristic Indicators and Corresponding Kolmogorov Like Entropy of the Standard Mapping....Pages 307-314
Generalized Lyapunov Exponents Indicators in Hamiltonian Dynamics: An Application to a Double Star System....Pages 315-322
Asteroid 522 Helga is Chaotic and Stable....Pages 323-324
Classical Periodic Orbits and Quantum Mechanical Eigenvalues and Eigenfunctions....Pages 325-336
Generalized Least-Squares Adjustment, a Timely but Much Neglected Tool....Pages 337-351
Least Squares Parameter Estimation in Chaotic Differential Equations....Pages 353-371
The Arrangement in Mean Elements Space of the Periodic Orbits Close to that of the Moon....Pages 373-380
Resonance Trapping of Circumstellar Dust Particles by an Alleged Planet....Pages 381-393
Orbital Resonances and Poynting-Robertson Drag Confining Dust Particles in β -PIC Disk....Pages 395-396