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首页> 外文期刊>Proceedings of the Institution of Mechanical Engineers >Reachable domain for satellite relative motion along elliptic orbit with uncertainty and process noise
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Reachable domain for satellite relative motion along elliptic orbit with uncertainty and process noise

机译：沿椭圆轨道的卫星相对运动的可达域，具有不确定性和过程噪声

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摘要

For satellite close-range relative motion under uncertainty and process noise, the relative reachable domain is the confidence region, upon providing a user-defined probability level, of the occurrence of a flying trajectory. The relative reachable domain is a risk-assessing tool used to prevent inadvertent collisions. This study conducted a follow-up relative reachable domain investigation with two improvements: (1) the reference orbit of the close-range relative motion is generalized to an arbitrary elliptic orbit and (2) the process noise during the relative motion is incorporated. The equation of the relative reachable domain envelope, the boundary of the relative reachable domain, is derived. An algorithm is proposed to solve for the relative reachable domain envelope. By comparing the solved relative reachable domain envelopes with the results of a direct Monte Carlo simulation, the accuracy of the proposed algorithm is verified. Moreover, a relative reachable domain-based collision detection method is presented to screen out encounters that have a low chance of collision. The proposed collision detection method exhibits efficiency and reliability in deciding whether a passive flyby mission is safe or not.
机译：对于在不确定度和过程噪声下的卫星近距离的相对运动，相对到达域是在提供飞行轨迹的发生的用户定义的概率水平时的置信区。相对到达域是一种用于防止无意碰撞的风险评估工具。该研究进行了两种改进的后续相对可达域调查：（1）近距离相对运动的参考轨道是通过任意椭圆轨道的推广轨道，并掺入了相对运动期间的过程噪声。衍生相对可达域包络，相对可达域的边界的等式。提出了一种算法来解决相对可达域包络。通过将所解决的相对到达域信封与直接蒙特卡罗模拟的结果进行比较，验证了所提出的算法的准确性。此外，提出了一种基于域的碰撞检测方法，以筛选具有低碰撞机会的遇到。所提出的碰撞检测方法在决定被动飞行任务是否安全的情况下表现出效率和可靠性。

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