Dynamical Trapping and Evolution in the Solar System : Proceedings of the 74th Colloquium of the International Astronomical Union Held in Gerakini, Chalkidiki, Greece, 30 August – 2 September, 1982

Front Matter....Pages i-xvi Front Matter....Pages 1-1 High Order Resonances in the Evolution of the Lunar Orbit....Pages 3-17 A Re-Consideration of the Evolution Hypothesis of the Origin of the Resonances Among Saturn’s Satellites....Pages 19-25 Orientation of a Satellite Located at the Libration Point in the Restricted Three-Body Problem....Pages 27-35 Theory of the Libration of the Moon....Pages 37-37 Regularization of the Equations of Motion in a Central Force-Field. Application to the Zonal Earth Satellite....Pages 39-46 The JPL “Long Ephemeris”, DE102/LE51....Pages 47-50 A Collection of Galilean Satellite Eclipses 1652–1982....Pages 51-59 The Study of Planetary Secular Perturbations....Pages 61-71 Perturbations Due to the Asteroid Belt....Pages 73-79 Front Matter....Pages 81-81 Physical Processes Affecting the Motion of Small Bodies in the Solar System and their Application to the Evolution of Meteor Streams....Pages 83-87 The Orbital Evolution of the Perseid and Quadrantid Meteor Streams....Pages 89-95 Steady State Number of the Extinct Comets in High-Inclination Orbits....Pages 97-104 Ejection of Particles from Comet Lexell: The Gravitational Influence of Jupiter....Pages 105-106 Capture of the Comet P/Boethin by Jupiter....Pages 107-114 Front Matter....Pages 115-115 Families of Asteroids....Pages 117-122 Regions of Stability of Asteroids....Pages 123-136 The Stability of Some Asteroids....Pages 137-139 On the Stability of Resonant Asteroid Orbits....Pages 141-152 Long Periods in the Three-Dimensional Motion of Trojan Asteroids....Pages 153-161 Resonant Asteroidal Motion in the Kirkwood Gaps: A Three-Dimensional Study....Pages 163-163 Front Matter....Pages 115-115 Orbital Evolution of Trojan Asteroids....Pages 165-176 Collisional Origin of Asteroid Families: Effects of the Target’s Gravity....Pages 177-188 Analysis of a Simple Mechanism to Deplete the Kirkwood Gaps....Pages 189-201 On the Ages of Asteroid Families....Pages 203-210 Front Matter....Pages 115-115 The Mechanism of Branching of Three-Dimensional Periodic Orbits from the Plane....Pages 213-224 Stability and Bifurcations of Symmetric Periodic Orbits in the Restricted 3-Body Problem....Pages 225-233 Resonant Three-Dimensional Periodic Solutions about the Triangular Equilibrium Points in the Restricted Problem....Pages 235-247 Asymmetric Periodic Orbits in the Three-Body Problem and their Stability....Pages 249-256 Construction of Periodic Orbits, Problems of Stability and Period Determination, in the Elliptical Non-Planar Restricted Problem....Pages 257-261 Symmetric Periodic Orbits in the Anisotropic Kepler Problem....Pages 263-270 Characteristics of Periodic Orbits in Elliptical Galaxies....Pages 271-274 Front Matter....Pages 275-275 Asymptotic Approach to Mirror Conditions as a Trapping Mechanism in N-Body Hierarchical Dynamical Systems....Pages 277-287 New Results for the Linear Stability of the Triangular Points in the Elliptic Restricted Problem....Pages 289-299 On Topological Stability in the General Three and Four-Body Problem....Pages 301-315 Boundaries for the Equipotential Curves in the Elliptic Restricted Three Body Problem....Pages 317-323 Capture/Escape Boundary in the Collinear Restricted Three-Body Problem....Pages 325-338 Doubly Asymptotic Orbits at the Unstable Equilibrium in the Elliptic Restricted Problem....Pages 339-350 Front Matter....Pages 351-351 The Planar Inverse Problem for Autonomous Systems....Pages 353-367 Analytical Theory of a Trapping in a Two-Body Problem of Variable Mass....Pages 369-375 Low Velocity Encounters of Minor Bodies with the Outer Planets....Pages 377-395 Front Matter....Pages 351-351 Trapping Time of Resonant Orbits in Presence of Poynting-Robertson Drag....Pages 397-410 Degenerate Dynamical Systems and the Disappearance of (K.A.M.-Type) Integrals of Motion....Pages 411-415 Back Matter....Pages 417-424 The papers comprising this volume were presented at Colloquium No 74 of the International Astronomical Union, on "Dynamical Trapping and Evolution in the Solar System", which was held in Gerakini, Chalkidiki, Greece, from August 30 through September 2, 1982, a few days after the IAU General Assembly of Patras, Greece. The Sc. ientific Organizing Committee consisted of C.L. Goudas, J. p. Hadjidemetriou, Y. Kozai (Chairman), L. Kresak, V.V. Markel10s, P.J. Message, A.E. Roy and V. Szebehely. To the Local Organizing Committee' consisting of G. Bozis, J.D. Hadjidemetriou (Chairman), V.V. Markellos, C. Zagouras, and M. Michalodimitrakis, was due the success of the local arrangements. There were 62 participants from 17 countries and 42 papers were presented (in the same order as given in this volume) on a variety of topics of Solar System Dynamics at seven sessions chaired by Y. Kozai, J. Kovalevs' Proceedings of the 74th Colloquium of the International Astronomical Union held in Gerakini Chalkidiki, Greece, August 30-September 2, 1982