Technical analysis and engineering reference.
Classical 2D radar separation models are incapable of handling electric vertical takeoff and landing vehicles operating with steep climb angles, rooftop departures, and tight vertical stacking. Trajectory operations require tracking continuous 4D volumes (latitude, longitude, altitude, and time).
Rather than checking discrete coordinate snapshots, AirspaceEdge generates continuous swept bounding ellipsoids incorporating positional uncertainty buffers: - Polynomial splines parameterizing flight kinematics including wind vector turbulence estimates. - Closed-form algebraic solvers determining the minimum distance between two moving spatial ellipsoids. - Rapid hierarchical tree pruning eliminating non-conflicting aircraft pairs before GPU tensor evaluation.
When a collision probability exceeds safety bounds, the edge kernel computes the minimum energy diversion vector, broadcasting instantaneous heading or climb rate advisories to the affected autopilots.