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Rapid generation of low-thrust many-revolution earth-center trajectories based on analytical state-based control
Acta Astronautica ( IF 3.5 ) Pub Date : 2021-06-25 , DOI: 10.1016/j.actaastro.2021.05.017
Di Wu , Lin Cheng , Fanghua Jiang , Junfeng Li

Traditional direct and indirect methods suffer the drawbacks of poor computational efficiency and low convergence property for the low-thrust many-revolution trajectory optimization. For this reason, an analytical state-based control scheme is presented to achieve the rapid generation of low-thrust Earth-center trajectories. Based on dynamical simplifications and a Sundman transformation, an analytical state-based control law is derived according to the Pontryagin’s maximum principle (PMP). Then, two types of nominal trajectories are elaborately determined, and consequently, the dynamical integration for the state-based control calculations is avoided. Furthermore, two constraint management techniques for thrust ratio and terminal time are proposed to enforce the satisfaction of control and boundary constraints, respectively. Finally, a rapid generation scheme for the low-thrust, many-revolution, Earth-center trajectories is developed based on the proposed techniques. Simulations of orbital transfer and rendezvous to GEO missions are conducted with comparison to the shape-based method, and the results verify the advantages of the proposed approach on the feasibility and computational efficiency.



中文翻译:

基于状态分析控制的低推力多转地心轨迹快速生成

传统的直接和间接方法存在计算效率差和低推力多转轨迹优化收敛性低的缺点。为此,提出了一种基于分析状态的控制方案,以实现低推力地心轨迹的快速生成。基于动力学简化和 Sundman 变换,根据庞特里亚金最大值原理 (PMP) 推导出基于分析状态的控制律。然后,精心确定两种类型的标称轨迹,从而避免了基于状态的控制计算的动态积分。此外,提出了推力比和终端时间的两种约束管理技术,以分别强制满足控制和边界约束。最后,基于所提出的技术,开发了一种用于低推力、多圈、地心轨迹的快速生成方案。与基于形状的方法相比,对轨道转移和交会任务进行了模拟,结果验证了该方法在可行性和计算效率方面的优势。

更新日期:2021-07-06
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