Abstract: Aiming at the terminal interception game problem of the spacecraft, the strategies of satellites are studied on the basis of the differential game theory. According to whether there is a defender in the intercept space, the game is divided into the two-satellite game or the three-satellite game. Firstly, consider the two-satellite game situation with an interceptor and a target. Then, the relative game strategies are designed with treating the terminal miss as a cost function. And the time analysis equation is proposed to improve the adaptivity of strategies for different intercept situations. Furthermore, consider the three-satellite game with a defender. The game switching strategy is proposed to decouple the game into the segmented two-satellite games. And the bilateral time equation is extended in the three-satellite game, which causes the interceptor to intercept the target rapidly, and not to be intercepted by the defender. Finally, the simulations analyze the effectiveness of the game strategy and the time analysis equation to the intercept game problem of the spacecraft.

Key words: Terminal interception, Differential game, CW equation, Zero effort miss, Time analysis equation