The Few Body Problem: Proceedings of the 96th Colloquium of the International Astronomical Union Held in Turku, Finland, June 1419, 1987 [Hardcover]

th Coinciding with the 300 anniversary of the publication of Newton's Principia The International Astronomical Union organized the colloquium No. 96 The Few Body Problem in Turku, Finland, June 14.-19.1987. It provided an opportunity to review the progress in the very field which caused Newton a headache, as Victor Szebehely reminded the audience in his introductory remarks. It is a measure of the difficulty and complication of the few body problem that even after 300 years so many aspects of the problem are still unsolved. To quote Szebehely again, Sir Isaac established the rules, Poincare presented the challenges . Many of these challenges are reviewed in the present proceedings. The gravitational few body problem cuts across the borders of established disciplines. The participants of the colloquium came from departments as different as Aerospace Engineering, Astronomy, Theoretical Physics, Physics, Mathematics, Applied Mathematics, Computer Science, Planetology, Geodesy, Celestial Mechanics and Space Science. The few body problem is a problem of practical significance in many fields and the main aim of the colloquium was to bring together people with research interests in this area, many of whom normally attend different conferences.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 Hills 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 freedol³-