Study on controllable set of contingency return trajectories for crewed lunar missions based on interval analysis

Abstract

The controllable set of contingency return trajectories for crewed lunar missions is studied on the basis of interval analysis. Firstly, in the light of the statement of the contingency return trajectory departing from the low lunar orbit, the mathematical model of the controllable set problem is presented. Secondly, based on interval analysis and contingency return trajectory design, a controllable set algorithm is put forward by combining a modified branch and bound method. Thirdly, using numerical simulations, the accuracy of this algorithm is verified by comparing with the results acquired from the classical brute force method. In addition, the comparison indicates this algorithm has higher calculation efficiency. Finally, the controllable set parameter characteristic analysis of contingency return trajectories is performed. The investigation conclusions can supply a decision basis for the plan and selection of a contingency return scheme in the future crewed lunar missions.