Passive collision avoidance mechanism are effective for ensuring the safety of spacecraft formations during the reconfiguration process. This paper investigates the combined in-plane and out-of-plane formation reconfiguration, while incorporating passive collision avoidance constraints. We design a low-collision-risk impulsive maneuver sequence using the relative Eccentricity/Inclination (E/I) vectors theory and conduct a comprehensive passive safety analysis. Furthermore, we introduce an analytic, passively collision-free maneuver strategy by deriving constraint-satisfying solutions for the relative E/I vectors reconfiguration path. For the first time, our approach achieves theoretical completeness in passive collision avoidance, significantly enhancing the safety of transition configurations compared with existing analytic solutions. Finally, simulations results show that our approach offers substantial improvements in reconfiguration passive safety while incurring negligible additional fuel consumption in comparison to existing solution.

中文翻译：

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具有被动碰撞避免的面内和面外航天器组合编队重构的解析解


被动避碰机制可有效保证航天器编队在重构过程中的安全。本文研究了面内和面外组合的形成重构，同时纳入了被动碰撞避免约束。我们使用相对偏心率/倾角 （E/I） 向量理论设计了一个低碰撞风险的脉冲机动序列，并进行了全面的被动安全分析。此外，我们通过推导相对 E/I 向量重配置路径的约束满足解，引入了一种分析的、被动无碰撞的机动策略。我们的方法首次在被动碰撞避免中实现了理论完备性，与现有的解析解相比，显著提高了过渡配置的安全性。最后，仿真结果表明，与现有解决方案相比，我们的方法在重新配置被动安全方面提供了实质性的改进，同时产生的额外燃料消耗可以忽略不计。