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