北斗三号卫星经验型太阳光压模型分析与精化

doi:10.11947/j.AGCS.2022.20210532

测绘学报 ›› 2022, Vol. 51 ›› Issue (8): 1680-1689.doi: 10.11947/j.AGCS.2022.20210532

北斗三号卫星经验型太阳光压模型分析与精化

李星星, 李婕, 袁勇强, 郑鸿杰, 黄适, 刘城伯, 张柯柯

武汉大学测绘学院, 湖北武汉 430079

收稿日期:2021-09-16 修回日期:2022-03-15 发布日期:2022-09-03
通讯作者: 袁勇强 E-mail:yqyuan@whu.edu.cn
作者简介:李星星(1985-),男,教授,研究方向为GNSS精密数据处理。E-mail:xxli@sgg.whu.edu.cn
基金资助:
国家自然科学基金(41974027;42142037);国家重点研发计划(2021YFB2501100);湖北省自然科学基金(2020CFA002);中德科学中心-中德国际合作项目(M-0054)

Assessment and improvement of the empirical solar radiation pressure models for BDS-3 satellites

LI Xingxing, LI Jie, YUAN Yongqiang, ZHENG Hongjie, HUANG Shi, LIU Chengbo, ZHANG Keke

School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China

Received:2021-09-16 Revised:2022-03-15 Published:2022-09-03
Supported by:
The National Natural Science Foundation of China (Nos.41974027;42142037);The National Key Research and Development Program of China (No.2021YFB2501100);The Hubei Province Natural Science Foundation (No.2020CFA002);The Sino-German Mobility Programme (No.M-0054)

摘要/Abstract

摘要： 太阳光压摄动作为在轨导航卫星受到的最大的非保守力,是卫星精密定轨的重要误差源。ECOM模型、ECOM2模型,这两种经验型光压模型被广泛应用于导航卫星定轨。然而,ECOM模型和ECOM2模型分别是针对GPS和GLONASS卫星设计的,并不完全适用于我国北斗三号(BDS-3)卫星。针对五参数ECOM模型在BDS-3卫星低太阳高度角时期轨道不连续性增大的问题,本文提出在 D方向引入一阶周期项来吸收未被模型化光压加速度。结果表明,引入一阶余弦周期项 D_c,能将低太阳高度角时期CAST卫星的切向、法向、径向重叠轨道误差分别减小约60%、52%、29%。针对ECOM2模型中 D_2c和 D₀、D_2s和 B_s之间存在的强相关性,本文提出了不估计 D_2c参数的八参数ECOM2模型和不估计 D_2c与 D_2s的七参数ECOM2模型。结果表明,相较九参数ECOM2模型,不估计 D_2c参数的八参数ECOM2模型能够将CAST卫星和SECM卫星径向重叠轨道误差分别减少约18%和27%。在此基础上,继续移除 D_2s后(七参数ECOM2),径向重叠轨道误差可进一步减小5.2%~8.5%。综合考察重叠轨道精度和SLR检核精度,不顾及 D_2c和 D_2s的七参数ECOM2模型表现最佳。CAST卫星和SECM卫星重叠轨道切向、法向、径向精度分别为5.0、3.4、1.4 cm和5.4、3.5、1.5 cm;SLR检核残差标准差分别为3.1~3.2 cm、4.4~4.7 cm。

关键词: 北斗三号卫星, 精密定轨, 太阳光压摄动, 经验光压模型

Abstract: Solar radiation pressure (SRP) is the largest non-gravitational perturbation for GNSS satellites,and is the main error source of GNSS precise orbit determination (POD).Currently,two empirical SRP models,namely the extended CODE orbit model (ECOM) and the updated ECOM (ECOM2) model,are widely used in GNSS POD.However,these two models are not suitable for BDS-3 satellites,as they are designed for GPS and GLONASS satellites.The five-parameter ECOM model exhibits large orbit discontinuities in low β periods.By introducing the first-order harmonic D_c parameter,the orbit overlapping RMS values of CAST satellites can be reduced by 60%,52%,and 29% in the along-track,cross-track,and radial components,respectively.As for the ECOM2 model,strong correlations are observed between D_2c and D₀ parameters as well as that between D_2s and B_s parameters.Based on the strong correlations,the eight-parameter ECOM2 model and the seven-parameter ECOM2 model are proposed,where the parameters D_2c and D_2c/D_2s are not estimated,respectively.The results show that the radial overlapping RMS values can be reduced by about 18% and 27% for CAST and SECM satellites when using the eight-parameter ECOM2 model.In addition,a further reduction of 5.2%~8.5% in the radial overlapping RMS values can be achieved when applying seven-parameter ECOM2 model.By considering both the accuracy of overlapping orbit and SLR residuals,we conclude that the seven-parameter ECOM2 model without D_2c and D_2s is more applicable for BDS-3 POD.The orbit overlapping RMS values are (5.0,3.4,1.4) cm and (5.4,3.5,1.5) cm for CAST and SECM satellites in the along-track,cross-track,and radial components,respectively.The standard deviation values of SLR residuals are 3.1~3.2 cm and 4.4~4.7 cm for CAST and SECM satellites.

Key words: BDS-3, precise orbit determination, solar radiation pressure, empirical SRP models

中图分类号:

P228

李星星, 李婕, 袁勇强, 郑鸿杰, 黄适, 刘城伯, 张柯柯. 北斗三号卫星经验型太阳光压模型分析与精化[J]. 测绘学报, 2022, 51(8): 1680-1689.

LI Xingxing, LI Jie, YUAN Yongqiang, ZHENG Hongjie, HUANG Shi, LIU Chengbo, ZHANG Keke. Assessment and improvement of the empirical solar radiation pressure models for BDS-3 satellites[J]. Acta Geodaetica et Cartographica Sinica, 2022, 51(8): 1680-1689.

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北斗三号卫星经验型太阳光压模型分析与精化

Assessment and improvement of the empirical solar radiation pressure models for BDS-3 satellites

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