The Few Body Problem: Proceedings of the 96th Colloquium of the International Astronomical Union Held in Turku, Finland, June 14–19, 1987

Front Matter....Pages i-xvii
Introductory Remarks....Pages 1-2
Front Matter....Pages 3-3
Qualitative Analysis in the Few Body Problem....Pages 5-25
A Classification of Motion Types in the General Three-Body Problem....Pages 27-30
Periodic Orbits and Stability....Pages 31-48
The Effect of Perturbing Potentials on Hill’s Stable Range in Restricted Three-Body Problem....Pages 49-53
Fractal dimensions and integrability of Hamiltonian systems: a discretization method....Pages 55-59
Non-Integrability of Three Body Problems with Homogeneous Potential....Pages 61-64
On the Existence of Some Configurations of Relative Equilibrium in the N-Body Problem....Pages 65-68
Rotational Motion of a Rigid Body in an Orbit of the Three Body Problem....Pages 69-72
Possibility of Exchange of a Rectilinear Three-Body System with Zero Energy....Pages 73-76
Escape in the Three-Body Problem with Two Degrees of Freedom — Rectilinear Case and Isosceles Case —....Pages 77-80
On a Restricted Five-Body Problem....Pages 81-84
A Perturbative Method for Problems with Two Critical Arguments....Pages 85-85
Generalized Hamilton’s Principle and its Application....Pages 87-90
Round Table Discussion on Chaotic Motions....Pages 91-97
Front Matter....Pages 99-99
Asteroid Families....Pages 101-116
On the Origin of 5/2 Kirkwood Gap....Pages 117-121
A Possible Source for Highly Inclined Apollo-Armor Asteroids: The Secular Resonance ν 16 ....Pages 123-127
The 2/1 Jovian Resonance in the Elliptic Problem....Pages 129-129
Asteroids in the 1:3:2 Commensurability....Pages 131-134
Front Matter....Pages 99-99
The Problem of Evolution on Orbital Resonance....Pages 135-139
Stability of the Planetary Triangular Lagrangian Points....Pages 141-142
Long-Term Orbital Evolution Studies of Aten-Apollo-Amor Objects....Pages 143-146
Long Term Dynamics of the Outer Solar System Review of Longstop Project....Pages 147-163
Secular Variations of the Semimajor Axes of the Planets....Pages 165-169
Higher-Order Numerical Secular Planetary Theory....Pages 171-174
Numerical Simulations of Ring Dynamics....Pages 175-178
Dynamics of Coorbital Satellite Rings....Pages 179-184
Orbital Energy Transfer in Exactly Commensurate Satellites....Pages 185-189
Capture of Comets as Temporary Satellites of Jupiter....Pages 191-194
Influence of Close Encounters on the Determination of Cometary Orbits....Pages 195-199
Passage of the Sun through an Interstellar Nebula and the Oort Cloud Comets....Pages 201-205
Motion of Satellites — The Choice of Reference Frames....Pages 207-210
Front Matter....Pages 211-211
The Scattering Problem....Pages 213-229
Influence of a Hyperbolic Flyby of a Small Mass on the Orbital Evolution of a Massive Binary....Pages 231-231
Numerical Investigation of the Orbital Evolution of a Massive Binary in the Field of Small Masses....Pages 233-238
Energy Exchange in a Parabolic Three-Body Encounter....Pages 239-242
The Stellar Problem of Three Bodies and Applications....Pages 243-247
The Triple-Escape Function Behaviour for Small Energy Systems....Pages 249-252
Dynamical Evolution of Double and Triple Subsystems in the N-Body Systems....Pages 253-256
Front Matter....Pages 211-211
Multiple Stars in the Solar Neighbourhood....Pages 257-260
On the Effects of Unequal Masses in the Statistics of Three-and Four-Body Interactions....Pages 261-264
Escapes from Stellar Systems....Pages 265-273
The Force Distribution for Close Encounters....Pages 275-277
Mass Transferring Binaries in Hierarchical Triples....Pages 279-282
On Some Stability Regions in the Three-Body Problem....Pages 283-286
Integration Methods for Small N-Body Systems....Pages 287-307
A Numerical Experimenter’s View of the Few-Body Problem....Pages 309-312
Relaxation in Small N-Body Systems....Pages 313-317
Long-Term Evolution of Cores of Globular Clusters after Core Collapse....Pages 319-324
Front Matter....Pages 325-325
The Merger Time of Interacting Galaxies....Pages 327-348
Orbital Decay in Non-Spherical Galaxies....Pages 349-352
Cluster Influences on the Internal Dynamics of a Galaxy....Pages 353-359
Tidal Stripping and Accretion in Collapsing Clusters of Galaxies....Pages 361-365
Close Approaches and Coalescence in the Triple Systems of Gravitating Masses....Pages 367-370
Tidal Interaction of Small Satellite Galaxies with Spiral Primaries....Pages 371-385
Inelastic Collisions in Models of Disk Galaxies....Pages 387-390
Influence of Gas Motion on Star Formation in the Central Region of a Disk Galaxy....Pages 391-395
Numerical Simulations of Massive Ejections from Galactic Nuclei....Pages 397-400
Formation of Bridges and Tails in Interacting Galaxies....Pages 401-404
Front Matter....Pages 325-325
Bar Formation in Interacting Galaxies....Pages 405-408
The Polar Ring Galaxy NGC 4650A....Pages 409-412
A Computational Method for Galaxy Interactions....Pages 413-416
Some Aspects of Chaotic Behavior in the Solar System....Pages 417-419
Back Matter....Pages 421-432