Impulsive Orbital Pursuit-Evasion Game Considering Reaction Time

This paper focuses on the Geosynchronous Earth Orbit (GEO) pursuit-evasion game. However, due to the reaction time in the ‘perception-decision’ process for both sides during orbital pursuit-evasion game, this game exhibits turn-based characteristics. To address this, we propose an impulsive maneuver-based control method for the turn-based pursuit-evasion game. Initially, we present the task scenario analysis and design concepts for this turn-based game. Subsequently, by integrating the turn-based game concept, we formulate a turn-based impulsive pursuit-evasion game model. We design a constrained strategy for both participants, and its effectiveness is verified through simulations. The simulation demonstrates that the pursuing party gains an advantageous time window before the opponent finalizes its decision within the game. Furthermore, we analyze the impact of varying initial positions of the pursuit spacecraft on the game. Notably, our analysis reveals that the pursuer is more likely to achieve a successful pursuit when operating near the Y-axis of the evasion’s trajectory. The success rate of pursuit decreases with increasing transition time and increases with the maximum impulse increment of the pursuit spacecraft.