Constraints in the Problem of Calculating Optimal Trajectories for a Supersonic Non-Maneuverable Aircraft

Abstract

The influence of phase and other constraints on the method of searching for the trajectories of the movement of a civil supersonic aircraft, which are optimal in terms of fuel consumption, is considered. Based on the solutions found by the dynamic programming method, taking into account numerous restrictions on flight altitude, pitch angle, normal high-speed overload, aircraft speed, engine thrust, etc., it is shown that almost all of these conditions can be ignored during the initial stage of calculations, since the optimal solution does not reach them. Therefore, one can first apply the maximum principle, and use the dynamic programming method only in those cases where a substantial part of the constraints turns out to be significant.