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针对平动点轨道小推力保持问题，提出了一种基于标称轨道相空间几何结构的小推力轨道保持方法。利用单值矩阵、雅可比矩阵和Cauchy-Green张量分别定义了三种运动模态，即Floquet模态、瞬时模态和Cauchy-Green模态，以表征不同时间尺度下的不稳定、稳定和中心运动。提出了模态重塑方法，利用小推力重塑当前时刻或未来某时刻特定的运动分量，重点将不稳定运动分量重塑为稳定分量。最后对所提出方法的稳定性、鲁棒性和性能进行了分析和验证。
Abstract：Focusing on the low-thrust station-keeping of libration point orbits, this paper presents a station-keeping method for libration point orbits using low-thrust propulsion, based on reshaping the geometric structures in the phase space around a nominal orbit. Three types of motion modes, i.e. Floquet, instantaneous, and Cauchy-Green, are defined by using the monodromy matrix, Jacobian matrix, and Cauchy-Green tensor, respectively, to characterize unstable, stable, and central motions over different time scales. Reshaping algorithms are developed to modify specific motion components either at the current time or a future epoch by applying low-thrust acceleration, mainly focusing on reshaping unstable motions into stable ones. Finally the stability, robustness, and performance of the proposed approaches are analyzed and verified.
[1] FARRES A,GAO C,MASDEMONT J J,et al.Geometrical analysis of station-keeping strategies about libration point orbits[J].Journal of Guidance,Control,and Dynamics,2022,45(6):1108-1125.
[2] SHIROBOKOV M,TROFIMOV S,OVCHINNIKOV M.Survey of station-keeping techniques for libration point orbits[J].Journal of Guidance,Control,and Dynamics,2017,40(5):1085-1105.
[3] SCHEERES D J,HSIAO F Y,VINH N X.Stablizing motion relative to an unstable orbit:applications to spacecraft formation flight[J].Journal of Guidance,Control,and Dynamics,2003,26(1):62-73.
[4] GAO C,MASDEMONT J J,GOMEZ G,et al.High order dynamical systems approaches for low-thrust station-keeping folibration point orbits[J].Acta Astronautica,2022,190:349-364.
[5] GAO C,MASDEMONT J J,GOMEZ G,et al.Low-thrust station-keeping control for lunar near rectilinear halo orbits[J].Celestial Mechanics and Dynamical Astronomy,2023,135(2):1-21.
[6] SIMO C,GOMEZ G,LLIBRE J,et al.On the optimal station keeping control of halo orbits[J].Acta Astronautica,1987,15(6-7):391-397.
[7] GOMEZ G,JORBA A,MASDEMONT J J,et al.Dynamics and mission design near libration point orbits-volume 3:advanced methods for collinear points [M].Singapore:World Scientific,2001:33-66.
[8] PEREZ-PALAU D,MASDEMONT J J,GOMEZ G.Tools to detect structures in dynamical systems using jet transport[J].Celestial Mechanics and Dynamical Astronomy,2015,123(3):239-262.
基本信息:
DOI：10.13645/j.cnki.f.d.20250916.002
中图分类号:V412.41
引用信息:
[1]王博,高琛,朱战霞,等.平动点轨道小推力保持的几何结构重塑方法[J].飞行力学,2025,43(06):14-21.DOI:10.13645/j.cnki.f.d.20250916.002.
基金信息:
中央高校基本科研业务项目资助(D5000240142)