CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY Vol. 73 Nos. 1-4 1999 IMPACT OF MODERN DYNAMICS IN ASTRONOMY Selected papers presented at the IAU Colloquium 172 held in Namur (Belgium), 6-11 July 1998 Preface Cosmology G. CONTOPOULOS, N. VOGLIS and C. EFTHYMIOPOULOS / Chaos in Relativity and Cosmology A. MACIEJEWSKI and M. SZYDLOWSKI / Bianchi Cosmologies as Dy- namical Systems Small Bodies in the Solar System S. FERRAZ-MELLO / Slow and Fast Diffusion in Asteroid-Belt Resonances A Rev iew A. MORBIDELLI / Origin and Evolution of Near Earth Asteroids B. G. MARSDEN / Small Bodies in the Outer Solar System Cl. FROESCHLE, T. J. JOPEK and G. B. VALSECCHI / The Use of Geo- centric Variables to Search for Meteroid Streams and Their Parents J. D. HADJIDEMETRIOU / A Symplectic Mapping Model as a Tool to Un- derstand the Dynamics of 2/1 Resonant Asteroid Motion M. SIDLICHOVSKY /O n Stable Chaos in the Asteroid Belt I. V. TUPIKOVA, A. A. VAKHIDOV and M. SOFFEL / Explicit Semi-Analytical Theory of Asteroid Motion C. BEAUGE, A. LEMAITRE and S. JANCART / On the Motion of Trapped Particles in the Vicinity of Corotation Centers S. 1. IPATOV / Migration of Trans-Neptunian Objects to the Earth E. PILAT-LOHINGER, R. DVORAK and Ch. BURGER / Trojans in Stable Chaotic Motion Stellar Systems S. J. AARSETH / Star Cluster Simulations: the State of the Art CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY Vol. 73 Nos. 1-4 1999 IMPACT OF MODERN DYNAMICS IN ASTRONOMY Selected papers presented at the IAU Colloquium 172 held in Namur (Belgium), 6-11 July 1998 Preface Cosmology G. CONTOPOULOS, N. VOGLIS and C. EFTHYMIOPOULOS / Chaos in Relativity and Cosmology A. MACIEJEWSKI and M. SZYDLOWSKI / Bianchi Cosmologies as Dy- namical Systems Small Bodies in the Solar System S. FERRAZ-MELLO / Slow and Fast Diffusion in Asteroid-Belt Resonances A Rev iew A. MORBIDELLI / Origin and Evolution of Near Earth Asteroids B. G. MARSDEN / Small Bodies in the Outer Solar System Cl. FROESCHLE, T. J. JOPEK and G. B. VALSECCHI / The Use of Geo- centric Variables to Search for Meteroid Streams and Their Parents J. D. HADJIDEMETRIOU / A Symplectic Mapping Model as a Tool to Un- derstand the Dynamics of 2/1 Resonant Asteroid Motion M. SIDLICHOVSKY /O n Stable Chaos in the Asteroid Belt I. V. TUPIKOVA, A. A. VAKHIDOV and M. SOFFEL / Explicit Semi-Analytical Theory of Asteroid Motion C. BEAUGE, A. LEMAITRE and S. JANCART / On the Motion of Trapped Particles in the Vicinity of Corotation Centers S. 1. IPATOV / Migration of Trans-Neptunian Objects to the Earth E. PILAT-LOHINGER, R. DVORAK and Ch. BURGER / Trojans in Stable Chaotic Motion Stellar Systems S. J. AARSETH / Star Cluster Simulations: the State of the Art R. H. MILLER / Dimensionality of Stable and Unstable Directions in the Gravitational N-Body Problem H. WOZNIAK and D. PFENNIGER / Distribution of Kolmogorov-Sinai En tropy in Self-Consistent Models of Barred Galaxies D. D. CARPINTERO, J. C. MUZZIO and F. C. WACHLIN / Regular and Chaotic Motion in Globular Clusters A. RIAGUAS, A. ELIPE and M. LARA / Periodic Orbits around a Massive Straight Segment S. PORTEGIES ZWART and K. TAKAHASHI/ Escape from a Crisis in Fokker Planck Models HONSHENG ZHAO / Building Galaxy Models with Schwarzschild Method and Spectral Dynamics Analytical and Numerical Tools P. CINCOTTA and C. SIMO / Conditional Entropy: a Tool to Explore Phase Space N. VOGLIS, G. CONTOPOULOS and C. EFTHYMIOPOULOS / Detection of Ordered and Chaotic Motion using the Dynamical Spectra C. EFTHYMIOPOULOS, G. CONTOPOULOS and N. VOGLIS / Cantori Islands and Asymptotic Curves in the Stickiness Region T. FUKUSHIMA / Parallel/Vector Integration Methods for Dynamical Astronomy S. FERRAZ-MELL/O D o Average Hamiltonians Exist? YI-SUI SUN and YAN-NING FU / Diffusion Character in Four-Dimensional Volume-Preserving Map I. 1.S HEVCHENKO / The Separatrix Algorithmic Map: Application to the Spin-Orbit Motion J.G. BRYANT / Canonical Variables of the Second Kind and the Reduction of the N-Body Problem R. A. BROUCKE / Motion near the Unit Circle in the Three-Body Problem S. R. CHESLEY / A Global Analysis of the Generalized Sitnikov Problem F. MONDEJAR and A. VIGUERAS / The Hamiltonian Dynamics of the Two Gyrostats Problem Planets and Satellites P. ARTYMOWICZ / Planeiary Systems vi J. CHAPRONT, M. CHAPRONT-TOUZE and G. FRANCOU / Complements to Moon’s Lunar Libration Theory E. BOIS and J. F. GIRARD / Impact of the Quadrupole Moment of the Sun on the Dynamics of the Earth-Moon System D. J. SCHEERES / The Effect of C22 on Orbit Energy and Angular Momentum P. J. MESSAGE / The Use of Lie Series in the Construction of a Perturba tion Theory and Some Recent Results in the Theory of the Motion of Hyperion aSns oe o l e n t Pe cnomgeng =1 i a ie ON