The Few Body Problem

Introductory remarks.- I. General theory.- Qualitative analysis in the few-body problem.- A classification of motion types in the general three-body problem.- Periodic orbits and stability.- The effect of perturbing potentials on Hill's stable range in restricted three-body problem.- Fractal dimensions and integrability of Hamiltonian systems: a discretization method.- Non-integrability of three body problems with homogeneous potential.- On the existence of some configurations of relative equilibrium in the N-body problem.- Rotational motion of a rigid body in an orbit of the three body problem.- Possibility of exchange of a rectilinear three-body system with zero energy.- Escape in the three-body problem with two degrees of freedom - Rectilinear case and isosceles case -.- On a restricted five-body problem: An analysis with Computer Algebra.- A perturbative method for problems with two critical arguments.- Generalized Hamilton's principle and its application.- Round table discussion on chaotic motions.- II. Solar system.- Asteroid families.- On the origin of 5/2 Kirkwood gap.- A possible source for highly inclined Apollo-Armor asteroids: the secular resonance ?16.- The 2/1 Jovian resonance in the elliptic problem.- Asteroids in the 1:3:2 commensurability.- The problem of evolution on orbital resonance.- Stability of the planetary triangular Lagrangian points.- Long-term orbital evolution studies of Aten-Apollo-Amor objects.- Long-term dynamics of the outer solar system Review of LONGSTOP project.- Secular variations of the semimajor axes of the planets.- Higher-order numerical secular planetary theory.- Numerical simulations of ring dynamics.- Dynamics of coorbital satellite rings.- Orbital energy transfer in exactly commensurate satellites.- Capture of comets as temporary satellites of Jupiter.- Influence of close encounters on the determination of cometary orbits.- Passage of the Sun through an interstellar nebula and the Oort cloud comets.- Motion of satellites - the choice of reference frames.- III. Stellar systems.- The scattering problem.- Influence of a hyperbolic flyby of a small mass on the orbital evolution of a massive binary.- Numerical investigation of the orbital evolution of a massive binary in the field of small masses.- Energy exchange in a parabolic three-body encounter.- The stellar problem of three bodies and applications.- The triple-escape function behaviour for small energy systems.- Dynamical evolution of double and triple subsystems in the N-body systems.- Multiple stars in the solar neighbourhood.- On the effects of unequal masses in the statistics of three- and four-body interactions.- Escapes from stellar systems.- The force distribution for close encounters.- Mass transferring binaries in hierarchical triples.- On some stability regions in the three-body problem.- Integration methods for small N-body systems.- A numerical experimenter's view of the few-body problem.- Relaxation in small N-body systems.- Long-term evolution of cores of globular clusters after core collapse.- IV. Multiple galaxies.- The merger time of interacting galaxies.- Orbital decay in non-spherical galaxies.- Cluster influences on the internal dynamics of a galaxy.- Tidal stripping and accretion in collapsing clusters of galaxies.- Close approaches and coalescence in the triple systems of gravitating masses.- Tidal interaction of small satellite galaxies with spiral primaries.- Inelastic collisions in models of disk galaxies.- Influence of gas motion on star formation in the central region of a disk galaxy.- Numerical simulations of massive ejections from galactic nuclei.- Formation of bridges and tails in interacting galaxies.- Bar formation in interacting galaxies.- The polar ring galaxy NGC 4650A.- A computational method for galaxy interactions.- Some aspects of chaotic behavior in the Solar System.- Index of names.- Index of subjects.