An Analytical Impulse Thrust Strategy in Spacecraft Pursuit-Evasion Games with Mass Variation and Perception Frequency

The domain of astrodynamics is witnessing a surge in scholarly interest, particularly concerning the spacecraft pursuit-evasion games. This treatise introduces an analytical methodology designed to deduce the optimal impulsive thrust game-theoretic strategies for spacecraft, considering both mass variation and the sensory limitations inherent in systems. The methodology commences by computationally delineating the relative reachable domain difference from a spatial geometry standpoint. Then, each spacecraft computes a threat index predicated on its perceptive faculties and the prevailing engagement geometry, then it strategically deploys thrust to precipitously diminish this index. The efficacy of the proposed analytical technique is corroborated by the simulation experiment. Given the analytical nature of the computations entailed, the approach holds significant promise for on-board application.