Disclosed are algorithms and agent-based structures for a system and technique for analyzing and managing the airspace. The technique includes managing bulk properties of large numbers of heterogeneous multidimensional aircraft trajectories in an airspace, for the purpose of maintaining or increasing system safety, and to identify possible phase transition structures to predict when an airspace will approach the limits of its capacity. The paths of the multidimensional aircraft trajectories are continuously recalculated in the presence of changing conditions (traffic, exclusionary airspace, weather, for example) while optimizing performance measures and performing trajectory conflict detection and resolution. Such trajectories are represented as extended objects endowed with pseudo-potential, maintaining objectives for time, acceleration limits, and fuel-efficient paths by bending just enough to accommodate separation.