Impact of Modern Dynamics in Astronomy: Proceedings of the IAU Colloquium 172 held in Namur (Belgium), 6–11 July 1998

Front Matter....Pages i-x
Chaos in Relativity and Cosmology....Pages 1-16
Bianchi Cosmologies as Dynamical Systems....Pages 17-24
Slow and Fast Diffusion in Asteroid-Belt Resonances: A Review....Pages 25-37
Origin and Evolution of Near Earth Asteroids....Pages 39-50
Small Bodies in the Outer Solar System....Pages 51-54
The Use of Geocentric Variables to Search for Meteoroid Streams and Their Parents....Pages 55-64
A Symplectic Mapping Model as a Tool to Understand the Dynamics of 2/1 Resonant Asteroid Motion....Pages 65-76
On Stable Chaos in the Asteroid Belt....Pages 77-86
Explicit Semianalytical Theory of Asteroid Motion....Pages 87-96
On the Motion of Trapped Particles in the Vicinity of Corotation Centers....Pages 97-105
Migration of Trans-Neptunian Objects to the Earth....Pages 107-116
Trojans in Stable Chaotic Motion....Pages 117-126
Star Cluster Simulations: The State of the Art....Pages 127-137
Dimensionality of Stable and Unstable Directions in the Gravitational N -Boby Problem....Pages 139-147
Distribution of Kolmogorov-Sinaï Entropy in Self-Consistent Models of Barred Galaxies....Pages 149-158
Regular and Chaotic Motion in Globular Clusters....Pages 159-168
Periodic Orbits Around a Massive Straight Segment....Pages 169-178
Escape from a Crisis in Fokker-Planck Models....Pages 179-186
Building Galaxy Models with Schwarzschild Method and Spectral Dynamics....Pages 187-194
Conditional Entropy....Pages 195-209
Detection of Ordered and Chaotic Motion Using the Dynamical Spectra....Pages 211-220
Cantori, Islands and Asymptotic Curves in the Stickiness Region....Pages 221-230
Parallel/Vector Integration Methods for Dynamical Astronomy....Pages 231-241
Do Average Hamiltonians Exist?....Pages 243-248
Diffusion Character in Four-Dimensional Volume-Preserving Map....Pages 249-258
The Separatrix Algorithmic Map: Application to the Spin-Orbit Motion....Pages 259-268
Canonical Variables of the Second Kind and the Reduction of the N-Body Problem....Pages 269-280
Motion Near the Unit Circle in the Three-Body Problem....Pages 281-290
A Global Analysis of the Generalized Sitnikov Problem....Pages 291-302
The Hamiltonian Dynamics of the Two Gyrostats Problem....Pages 303-312
Planetary Systems....Pages 313-316
Complements to Moons’ Lunar Libration Theory....Pages 317-328
Impact of the Quadrupole Moment of the Sun on the Dynamics of the Earth-Moon System....Pages 329-338
The Effect of C 22 on Orbit Energy and Angular Momentum....Pages 339-348
The Use of Lie Series in the Construction of A Perturbation Theory and Some Recent Results in the Theory of the Motion of Hyperion....Pages 349-358
Higher Order and Iterative Theories to Compute Asteroid Mean Elements....Pages 359-360
The Asteroid Mass Determination Project at the U.S. Naval Observatory....Pages 361-362
The Asteroid Identification Problem....Pages 363-364
Interaction of Resonances and Yarkovsky Non-Gravitational Effects in the Asteroid Belt....Pages 365-368
Target Plane Confidence Boundaries: Mathematics of the 1997 XF11 Scare....Pages 369-370
A Dynamical Survey of Inner Solar System Asteroids....Pages 371-372
Detailled Study of the Dynamics of Fragments of Comet C/1996 B2 Hyakutake....Pages 373-374
Proper Elements and Stability of the Trojan Asteroids....Pages 375-376
Dynamical Behaviour of Asteroids in the 4:1 Resonance....Pages 377-378
Perturbations of Small Moons Orbits Due to Their Rotation: The Model Problem....Pages 379-380
Mean Motion Resonances in the Asteroid Belt....Pages 381-382
On the Critical Phenomena in the Dynamics of Asteroids....Pages 383-386
Dynamics of Real Asteroid at the Hecuba Gap....Pages 387-388
Modelling Very-High-Eccentricity Asteroidal Librations with the Andoyer Hamiltonian....Pages 389-390
Resonant Relaxation....Pages 391-392
Periodic Orbits in Three-Armed Galaxies....Pages 393-394
Orbits in a Stäckel Approximation....Pages 395-396
Measuring Mass Loss Rates from Galactic Satellites....Pages 397-398
Effect of Chaotic Orbits on Dynamical Friction....Pages 399-400
Nonparametric Statistical Models of Globular Cluster Dynamics....Pages 401-402
Orbits of Hepparcos Metal-Poor Stars with Well-Defined Spectroscopic Abundances....Pages 403-404
HST-FGS Astrometry of the Low Mass Binary L722-22....Pages 405-407
Can Combination of ‘Kozai Effect’ and Tidal Friction Produce Close Stellar and Planetary Orbits?....Pages 409-410
Simple Periodic Orbits in Elliptical Galaxies Modelled by Hamiltonians in 1-1-1 Resonance....Pages 411-412
Moon’s Planetary Perturbations....Pages 413-414
On Construction of a Long-Term Moon’s Theory....Pages 415-416
A New Model of Mars Rotation from Pathfinder Data....Pages 417-418
Dynamics of the Mimas-Tethys System....Pages 419-424
A Necessary Condition to the Simultaneous Correction of Celestial Reference Frames and Minor Planets Orbital Elements....Pages 425-426
Secular Perturbations Near Mean Motion Resonances....Pages 427-428
Dynamics of Fictitious Earth’s Satellites with Possible Past Values of the Ecliptic....Pages 429-430
An Intermediary Periodic Orbit for Hyperion....Pages 431-432
Averaging of Earth-Crossing Orbits....Pages 433-434
Rotational Motion of Celestial Bodies in the Relativistic Framework....Pages 435-436
Lommel Functions in Some Drag-Perturbed Problems....Pages 437-438
Two Conjectures of G.D. Birkhoff....Pages 439-440
Three-Body Stability Criteria....Pages 441-442
Nekhoroshev Stability in Quasi-Integrable Degenerate Hamiltonian Systems....Pages 443-444
Nekhoroshev-Stability of L 4 and L 5 in the Spatial Restricted Problem....Pages 445-446
Effective Lyapunov Numbers and Correlation Dimensions in a 3-D Hamiltonian System....Pages 447-448
A Symplectic Integration Scheme that Allows Close Encounters Between Massive Bodies....Pages 449-450
Analytical Approximation of the Dissipative Standard Map....Pages 451-452
Second Order Perturbations of Elliptic Elements with Respect to the Initial Ones....Pages 453-454
Zonal Harmonics of the Gravity Field in DEF-Variables....Pages 455-456
On the Stability of Stationary Solutions of the Twice-Averaged Hill’s Problem Taking into Account the Planet Oblateness....Pages 457-457
Study of the Normal Variational Equation in an Homogeneous Field of Degree Five....Pages 459-460
Generalized Gylden-Type Systems in Universal DS-Like TR-Variables....Pages 461-462
Orbital Structure of the Two Fixed Centres Problem....Pages 463-464
Chaos in Three-Body Dynamics: Intermittency, Strange Attractor, Kolmogorov-Sinai Entropy....Pages 465-466