We investigate the pursuit–evasion differential game (PE Game) for satellites with continuous thrust from the viewpoint of reachable domain (RD). A concept of hyper-reachable domain (HRD) is introduced to help analyze the problem, and a sufficient condition for capture in a PE Game is proposed based on the players’ HRD. Meanwhile, to practically use the RD as a tool to analyze the PE Game, an analytical form of the satellite's reachable domain is deduced based on the Clohessy Wiltshire (CW) model. The simplicity and accuracy of the CW model in solving the RD render it practicable to apply the sufficient condition in studying the PE Game of continuous-thrust satellites.

中文翻译：

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基于连续推力可达域的卫星追逃博弈

我们从可达域（RD）的角度研究了具有连续推力的卫星的追逃微分博弈（PE 博弈）。引入了超可达域（HRD）的概念来帮助分析问题，并基于玩家的HRD提出了PE游戏中捕获的充分条件。同时，为了实际使用RD作为分析PE博弈的工具，基于Clohessy Wiltshire（CW）模型推导出卫星可达域的分析形式。CW模型在求解RD时的简单性和准确性使得将充分条件应用于研究连续推力卫星的PE博弈是可行的。