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Local Lyapunov Exponent Augmented Differential Corrections Process for Cislunar Trajectory Targeting
The Journal of the Astronautical Sciences ( IF 1.8 ) Pub Date : 2023-08-28 , DOI: 10.1007/s40295-023-00396-6
Brennan Blumenthal , Rohan Sood

Differential correction algorithms are frequently used for spacecraft trajectory targeting to produce feasible trajectories on the ground and on-board spacecraft. These targeting algorithms can satisfy numerous constraints imposed by mission designers, such as position and velocity continuity, minimum or maximum altitude, apsis, declination etc. By adding information about patch point state sensitivity via local Lyapunov exponents (LLEs) to the targeting process, a reduction in mission ∆V can be achieved without adding additional constraints to the system. The general objective of this work is to augment the two-level targeting differential corrections algorithm with an LLE informed impulsive maneuver placement algorithm to form an augmented two-and-a-half-level targeter. NASA’s Artemis I mission is used as a baseline trajectory. An LLE maneuver placement procedure is demonstrated, resulting in a ΔV reduction of 276.6 m/s, a 16.26% reduction relative to the baseline. The LLE maneuver placement is then incorporated into the targeting algorithm, resulting in a ΔV reduction of 290.4 m/s, a 17.07% reduction compared to the baseline trajectory.



中文翻译:

地月轨迹瞄准的局部李雅普诺夫指数增强微分校正过程

差分校正算法经常用于航天器轨迹瞄准,以在地面和机载航天器上产生可行的轨迹。这些瞄准算法可以满足任务设计者施加的众多约束,例如位置和速度连续性、最小或最大高度、拱点、偏角等。通过局部李雅普诺夫指数 (LLE) 将有关补丁点状态敏感性的信息添加到瞄准过程中,减少任务ΔV无需对系统添加额外的约束即可实现。这项工作的总体目标是用 LLE 通知的脉冲机动放置算法增强两级瞄准差分校正算法,以形成增强的两级半瞄准器。NASA 的 Artemis I 任务被用作基线轨迹。演示了 LLE 机动放置程序,导致 Δ V减少 276.6 m/s,相对于基线减少 16.26%。然后将 LLE 机动放置纳入目标算法中,导致 Δ V减少 290.4 m/s,与基线轨迹相比减少 17.07%。

更新日期:2023-08-28
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