Abstract Fly-around technology, as applied to maintain a chasing spacecraft flying periodically around the chief spacecraft, has received widespread attention in recent years. The conventional impulsive or continuous-thrust control approaches for maintaining non-natural formations put a high demand on the engine and limit the applicability of engineering. In this study, which is based on the relative orbital elements, we propose a series of analytic natural fly-around formations for the two-body case, which can revisit specific points or be maintained within a certain range. In addition to maintaining the fly-around formation when considering the J2 perturbation, we present a two-stage constant thrust control method solved with the linearized sensitive matrix. Furthermore, based on this method, we present several maintaining strategies that guarantee a periodic revisit to a specified relative position. We conduct numerical simulations to demonstrate the efficacy of these proposed methods.

中文翻译：

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椭圆参考轨道的新飞越编队

摘要 环绕飞行技术作为一种用于维持追逐航天器在主航天器周围周期性飞行的技术，近年来受到广泛关注。用于维持非自然地层的传统脉冲或连续推力控制方法对发动机提出了很高的要求，并限制了工程的适用性。在这项基于相对轨道要素的研究中，我们针对两体情况提出了一系列解析自然绕飞编队，这些编队可以重新访问特定点或保持在一定范围内。除了在考虑 J2 扰动时保持绕飞编队，我们还提出了一种用线性化敏感矩阵求解的两级恒推力控制方法。此外，基于这种方法，我们提出了几种维护策略，以保证定期重新访问指定的相对位置。我们进行数值模拟以证明这些方法的有效性。