“…Thus, intended for the above deficiencies, this paper performs the investigation on the reachable domain issue of the contingency return trajectories during the circumlunar flight stage based on interval analysis. The relevant methods and theories of interval analysis have been applied widely in the fields of structural reliability analysis (Song and Zhang 2021), workspace determination of parallel robots (Jin et al 2022) and stress assessment (Kumar et al 2021), et al In addition, interval analysis also starts to be applied in the aerospace field, such as determination of the nonlinear aircraft trim points (Kampen et al 2007), integer ambiguity resolution for aircraft attitude determination (Kampen et al 2009;Weerdt et al 2008), optimization of Lambert rendezvous (Chen et al, 2013), robust optimal attitude determination of the satellites (Hossein et al 2022) and fuel optimization for constrained spacecraft formation rotations The main contributions of this investigation are as follows: Firstly, a mathematics model of reachable domain of contingency return trajectories is presented. Secondly, a non-coplanar contingency return trajectory during the circumlunar flight stage for manned lunar landing engineering is designed.…”