Robust Planning Design for Geostationary Rendezvous Passive Safety with Solar Radiation Pressure

Dali Zhang, Hongwei Xia, Jize Chen, Changhong Wang
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Abstract

Optimal rendezvous trajectory design has always been a subject of great attention in the aerospace field, but the practical uncertainties have not been considered proposed by many current researches. In this study, a robust trajectory planning method for geostationary orbit (GEO) rendezvous is proposed by considering the uncertainties. As the prerequisite of optimal design, relative orbit dynamics considering the influence of solar radiation pressure (SRP) is analytically solved. The state uncertainties is derived, and the final rendezvous errors are obtained, which is defined as performance indices together with the total speed increase. Then a multi-objective optimization model is established. While considering passive safety, the constraints including pulse interval, final time, and maximum thrust limit are studied to examine the efficiency and feasibility of the proposed scheme. The non-dominated sorting genetic algorithm (NSGA-II) is used to solve the optimal solution set. Simulation results show that the method can obtain a feasible rendezvous trajectory that satisfies the state constraints while considering practical uncertainties.
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考虑太阳辐射压力的地球同步交会被动安全鲁棒规划设计
交会轨迹优化设计一直是航天领域关注的热点问题,但目前许多研究并未考虑交会轨迹的实际不确定性。本文提出了一种考虑不确定性的地球静止轨道交会鲁棒轨迹规划方法。作为优化设计的前提,分析求解了考虑太阳辐射压力影响的相对轨道动力学问题。导出了状态不确定性,得到了最终交会误差,并将交会误差定义为性能指标和总速度增量。然后建立了多目标优化模型。在考虑被动安全性的同时,研究了脉冲间隔、最终时间和最大推力限制等约束条件,验证了所提方案的有效性和可行性。采用非支配排序遗传算法(NSGA-II)求解最优解集。仿真结果表明,该方法能够在考虑实际不确定性的情况下获得满足状态约束的可行交会轨迹。
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