Time Cooperative Trajectory Planning Method Based on Analytical Solution of Time for Unpowered High-speed Reentry Vehicle

An analytical planning method is proposed to solve the time cooperative trajectory planning problem in this paper. First, a height-speed flight corridor coupled with angle of attack is constructed for the multiple constraints of planning problem. Subsequently, a general expression containing logarithmic function is designed based on the mathematical model of the flight corridor boundary, the analytical solution of flight path length and flight time based on flight profile expressed by logarithmic functions is obtained, we can adjust the flight trajectory and time by adjusting the altitude, angle of attack and other variables. Ultimately, the iterative logic of time cooperative trajectory planning with analytical solution of flight time is proposed. Numerical demonstrations show that the time analytical solution has high accuracy. With Multi-aircraft Time Cooperative Trajectory Planning, terminal time deviation is 0.2 seconds, Terminal position accuracy is less than 500 meters. The method proposed in this paper have high adaptability and engineering application value.