Spacecraft pursuit-evasion game is currently a research hotspot in the field of aerospace dynamics and control. Qualitative spacecraft pursuit-evasion game was studied in order to provide feasibility support for strategy design, and a situation analysis method for scenarios in close range was proposed by comprehensively using dimension-reduction dynamics and backwards reachability set. A dimension-reduction dynamic model was derived in the line-of-sight rotation coordinate system, and the pursuit-evasion qualitative model of the game system was determined to reduce state space dimension. The backwards reachable set of the target set was used to divide the pursuit-evasion state space and describe the capture zone. A time-dependent HJI (Hamilton-Jacobi-Isaacs) PDE (partial differential equation) was established to describe the evolution of backwards reachable set in the dimension-reduction dynamics, based on level set method, and a WENO-TVD(weighted essentially non-oscillatory-total variation diminishing) solver was designed to numerically calculate the viscous solution of the final value problem of the HJI PDE. These measures achieve the accurate description of pursuit-evasion target set and avoid the possible terminal singularity. The effectiveness of the method was demonstrated by numerical simulations of several pursuit-evasion scenarios with different thrust configurations, and the function of batch processing of initial situations in a single calculation was demonstrated.