Abstract: It is a typical scenario of orbit game that several low-cost spacecraft cooperate to capture highly valuable non-cooperative targets.In the consideration of autonomous maneuver of the target，the key problem unsolved is how to quickly design the capture configuration to achieve on-orbit capture reliably and efficiently.A design method of the spacecraft cluster capture configuration based on reachable domain（RD）is proposed.Firstly，the dynamic model of capture mission is established，and the conditions of the capture mission with cluster are described.Then，a criterion for multi spacecraft to capture non-cooperative targets is proposed based on the RD method for continuous thrust maneuver.Furthermore，the optimal control theory is used to solve the RD of spacecraft，the characteristics of the RD are analyzed，and then the semi-analytical solution of collaborative RD of the spacecraft cluster is proposed.Finally，a design method for collaborative capture configuration using four spacecraft is proposed.In this paper，the simulation results verify the full effectiveness of the cluster capture configuration design method；and compared with the traditional single spacecraft continuous thrust RD solution method，the feasibility of the method for solving the RD is proved.

Key words: reachable domain, spacecraft cluster, capture configuration, optimal control theory, design method