Aircraft trajectories considering radar range constraints

The problem of finding an optimal aircraft trajectory subject to constraints defining distance of detection to hostile radar stations is considered. The purpose is to find a trajectory minimizing the flight time between two given positions without hostile radar detection. The flight path is represented using a smooth curve in the form of a spline approximation. The spline representation is used to derive the heading- and bank angles of the aircraft. The position of the aircraft together with the bank- and heading angles are used for calculations of the radar detection range. Furthermore, an example in three dimensions when a Saab 105 approaches a radar station in level flight is investigated.