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李振宇, 李翔宇, 乔栋, 霍卓玺. 光压影响的日地平动点附近编队零相对径向加速度区域研究[J]. 深空探测学报(中英文), 2023, 10(6): 631-640. DOI: 10.15982/j.issn.2096-9287.2023.20220112
引用本文: 李振宇, 李翔宇, 乔栋, 霍卓玺. 光压影响的日地平动点附近编队零相对径向加速度区域研究[J]. 深空探测学报(中英文), 2023, 10(6): 631-640. DOI: 10.15982/j.issn.2096-9287.2023.20220112
LI Zhenyu, LI Xiangyu, QIAO Dong, HUO Zhuoxi. Study on Zero Relative Radial Acceleration Region of Formation near Sun-Earth Libration Points under Solar Radiation Pressure[J]. Journal of Deep Space Exploration, 2023, 10(6): 631-640. DOI: 10.15982/j.issn.2096-9287.2023.20220112
Citation: LI Zhenyu, LI Xiangyu, QIAO Dong, HUO Zhuoxi. Study on Zero Relative Radial Acceleration Region of Formation near Sun-Earth Libration Points under Solar Radiation Pressure[J]. Journal of Deep Space Exploration, 2023, 10(6): 631-640. DOI: 10.15982/j.issn.2096-9287.2023.20220112

光压影响的日地平动点附近编队零相对径向加速度区域研究

Study on Zero Relative Radial Acceleration Region of Formation near Sun-Earth Libration Points under Solar Radiation Pressure

  • 摘要: 针对太阳光压对探测器轨道产生的扰动,给编队构型稳定性带来挑战,提出一种基于零相对径向加速度区域编队构型设计及控制方法。推导了考虑光压影响的主星附近零相对径向加速度区域解析式,分析了该区域随参考轨迹类型、振幅及相位变化的规律。将该区域应用于5星编队任务设计,并定义了形状、尺寸及共面程度等编队构型评价指标。仿真结果表明,70 d内编队构型有界,前60天编队臂长变化率小于2%。研究可以为未来日地平动点干涉测量编队轨道设计提供参考。

     

    Abstract: Formation interferometry near the Sun-Earth libration point is an essential direction for developing high-precision astronomical observation. Keeping the formation configuration stable for a long time is the premise of achieving high-precision measurement. However, the solar radiation pressure will disturb the satellite’s orbit, which challenges the formation configuration’s stability. This paper studies the stable region of formation motion near the libration point under the influence of solar radiation pressure. Based on the Sun-Earth three-body model considering solar radiation pressure, then linearizing the dynamic equation near the reference trajectory of the formation, the analytical expression of the zero relative radial acceleration region near the chief satellite is derived. It is found that the zero relative radial acceleration region is a quadric surface passing through the reference trajectory. The evolution characteristics of zero relative radial acceleration region are further analyzed, and the variation law of region distribution with reference trajectory type, amplitude, and phase is given. Finally, the formation configuration evaluation indexes such as shape, size, and coplanarity are defined. The formation configuration design and control method based on zero relative radial acceleration region is proposed and applied to the design of the five-satellite formation mission. The simulation results show that the formation configuration is bounded within 70 days, and the change rate of the relative distance between the chief satellite and deputy satellite is less than 2% in the first 60 days. In this paper, the study of zero relative radial acceleration region under the influence of solar radiation pressure can provide a basis for designing future Sun-Earth libration point interferometry formation orbits.

     

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