Multi-impulse Pursuit-Evasion Game for GEO Spacecraft with Perceptual Delay

This paper investigates the GEO(geosynchronous Earth orbit) pursuit-evasion game with perceptual delay considering J2 perturbation and impulse thrust. It establishes an optimization model of orbital pursuit strategy considering fuel consumption, single impulse velocity increment, impulse interval time, and mission duration, and the design variables include the number of impulses, the sequence of maneuver moments, and the sequence of impulse increments. The pursuing spacecraft pursues the evading spacecraft through multiple impulsive maneuvers. To enhance problem-solving efficiency, we propose the BDBO(Bernoulli Dung Beetle Optimization) algorithm utilizing Bernoulli chaotic mapping. Additionally, Lambert maneuver corrections are introduced to address challenges related to meeting terminal constraints and the effects of orbital perturbations. Through the comparison experiments with other intelligent algorithms, we verify the superiority of this algorithm in terms of convergence speed and optimization efficiency. Furthermore, simulations in real scenarios with perceptual delay demonstrate the effectiveness of this algorithm in planning pursuit strategies. Finally, we explore the causal relation between the game's outcome and the evading spacecraft's maneuvering capabilities.