This volume contains the proceedings of the third IAU conference on the Gravita tional N-Body Problem. The first IAU conference IJ, six years ago, was motivated by the renaissance in Celestial Mechanics following the launching of artificial earth satellites, and was an attempt to bring to bear on the problems of Stellar Dynamics the sophisticated analytical techniques of Celestial Mechanics. That meeting was an outgrowth of the 'Summer Institutes in Celestial Mechanics' initiated by Dirk Brouwer. By the second IAU conference 2J, our interest had been captured by the attempts to simulate...