Swarm系列卫星非差运动学厘米级精密定轨

doi:10.11947/j.AGCS.2021.20190165

测绘学报 ›› 2021, Vol. 50 ›› Issue (1): 27-36.doi: 10.11947/j.AGCS.2021.20190165

Swarm系列卫星非差运动学厘米级精密定轨

张兵兵^1,2, 牛继强^1,2, 王正涛³, 徐丰^1,2, 田坤俊³

1. 信阳师范学院地理科学学院, 河南信阳 464000;
2. 信阳师范学院河南省水土环境污染协同防治重点实验室, 河南信阳 464000;
3. 武汉大学测绘学院, 湖北武汉 430079

收稿日期:2019-05-08 修回日期:2020-07-01 发布日期:2021-01-15
通讯作者: 牛继强 E-mail:niujiqiang@xynu.edu.cn
作者简介:张兵兵(1989-),男,博士,讲师,研究方向为低轨卫星精密定轨。E-mail:bbzhang@xynu.edu.cn
基金资助:
国家自然科学基金（41671405；41771438；41774019）；河南省研究生教育改革与质量提升工程（HNYJS2020JD14）；信阳师范学院“南湖学者奖励计划”青年项目

Centimeter precise orbit determination for the Swarm satellites via undifferenced kinematic method

ZHANG Bingbing^1,2, NIU Jiqiang^1,2, WANG Zhengtao³, XU Feng^1,2, TIAN Kunjun³

1. School of Geographic Sciences, Xinyang Normal University, Xinyang 464000, China;
2. Key Laboratory for Synergistic Prevention of Water and Soil Environmental Pollution, Xinyang Normal University, Xinyang 464000, China;
3. School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China

Received:2019-05-08 Revised:2020-07-01 Published:2021-01-15
Supported by:
The National Natural Science Foundation of China (Nos. 41671405;41771438;41774019);The Postgraduate Education Reform and Quality Improvement Project of Henan Province (No. HNYJS2020JD14);The Nanhu Scholars Program for Yong Scholars of XYNU

摘要/Abstract

摘要： 采用2015年5月24日—30日的Swarm星载GPS双频观测数据，基于Melbourne-Wübbena（MW）和消电离层线性组合，在精密单点定位技术的基础上，采用批处理最小二乘估计法对不同轨道高度的Swarm系列卫星进行非差运动学精密定轨。利用星载GPS相位观测值残差、与欧空局发布的简化动力学轨道对比，以及SLR检核3种方法对Swarm系列卫星非差运动学定轨结果进行精度评估。结果表明：①Swarm系列卫星星载GPS相位观测值残差RMS为6~7 mm；②与欧空局发布的简化动力学轨道进行求差，径向、切向及法向轨道差值RMS为2~4 cm；③与欧空局发布的运动学轨道进行求差，径向、切向及法向轨道差值RMS为1~2 cm；④SLR检核结果表明Swarm-A/B/C卫星轨道精度为3~4 cm。因此，采用非差运动学定轨方法与本文提供的定轨策略进行Swarm系列卫星精密定轨是切实可行的，定轨精度为厘米级。

关键词: Swarm系列卫星, 精密单点定位, 非差运动学定轨, 批处理最小二乘估计法, 厘米级

Abstract: Using dual-frequency satellite-borne GPS observations from May 24 to May 30, 2015, the linear combination of Melbourne-Wübbena and ionosphere-free linear combination, based on the basis of precise point positioning technology, the batch least squares estimation method is used to precisely determine the Swarm undifferenced kinematic orbits with different orbital attitudes. The orbit accuracy is assessed using three methods, which include satellite-borne GPS phase observation residuals analysis, comparison with ESA reduced-dynamic orbits and external evaluation with SLR measurements. The results indicate: ①Swarm satellite-borne GPS phase observation residual RMS is in the range of 6~7 mm level. ②Comparisons with reduced-dynamic orbits computed by European Space Agency (ESA), radial, along-track and cross-track orbit difference RMS are in the range of 2~4 cm level. ③Comparisons with kinematic orbits computed by ESA, Radial, along-track and cross-track orbit difference RMS are in the range of 1~2 cm level. ④The external validation with satellite laser ranging (SLR) measurement shows RMS errors are in the range of 3~4 cm level. Therefore, it is feasible to use the undifferenced kinematic orbit determination method and the orbit determination strategy provided in this paper to carry out the precise orbit determination of swarm series satellites. The orbit determination accuracy is centimeter level.

Key words: Swarm satellite, precise point positioning, undifferenced kinematic method, batch least squares estimation method, centimeter level

中图分类号:

P228

张兵兵, 牛继强, 王正涛, 徐丰, 田坤俊. Swarm系列卫星非差运动学厘米级精密定轨[J]. 测绘学报, 2021, 50(1): 27-36.

ZHANG Bingbing, NIU Jiqiang, WANG Zhengtao, XU Feng, TIAN Kunjun. Centimeter precise orbit determination for the Swarm satellites via undifferenced kinematic method[J]. Acta Geodaetica et Cartographica Sinica, 2021, 50(1): 27-36.

参考文献

[1] FRIIS-CHRISTENSEN E, LVHR H, KNUDSEN D, et al. Swarm:an earth observation mission investigating geospace[J]. Advances in Space Research, 2008, 41(1):210-216.
[2] VAN DEN IJSSEL J, ENCARNAÇÃO J, DOORNBOS E, et al. Precise science orbits for the Swarm satellite constellation[J]. Advances in Space Research, 2015, 56(6):1042-1055.
[3] REN L, SCHÖN S. PPP-based Swarm kinematic orbit determination[J]. Annales Geophysicae, 2018, 36(5):1227-1241.
[4] VISSER P, DOORNBOS E, VAN DEN IJSSEL J, et al. Thermospheric density and wind retrieval from Swarm observations[J]. Earth, Planets and Space, 2013, 65(11):1319-1331.
[5] JÄGGI A, DAHLE C, ARNOLD D. Swarm kinematic orbits and gravity fields from 18 months of GPS data[J]. Advances in Space Research, 2016, 57(1):218-233.
[6] 田英国, 郝金明. Swarm卫星天线相位中心校正及其对精密定轨的影响[J]. 测绘学报, 2016, 45(12):1406-1412, 1433. DOI:10.11947/j.AGCS.2016.20160132. TIAN Yingguo, HAO Jinming. Swarm satellite antenna phase center correction and its influence on the precision orbit determination[J]. Acta Geodaetica et Cartographica Sinica, 2016, 45(12):1406-1412, 1433. DOI:10.11947/j.AGCS.2016.20160132.
[7] 张兵兵, 王正涛, 冯建迪, 等. 伪随机脉冲先验值对低轨卫星简化动力学定轨精度的影响[J]. 武汉大学学报(信息科学版), 2018, 43(8):1222-1227, 1241. ZHANG Bingbing, WANG Zhengtao, FENG Jiandi, et al. Impact of pseudo-stochastic pulse priors on LEO reduced-dynamic orbit accuracy[J]. Geomatics and Information Science of Wuhan University, 2018, 43(8):1222-1227, 1241.
[8] 张兵兵, 聂琳娟, 吴汤婷, 等. SWARM卫星简化动力学厘米级精密定轨[J]. 测绘学报, 2016, 45(11):1278-1284. DOI:10.11947/j.AGCS.2016.20160284. ZHANG Bingbing, NIE Linjuan, WU Tangting, et al. Centimeter precise orbit determination for SWARM satellite via reduced-dynamic method[J]. Acta Geodaetica et Cartographica Sinica, 2016, 45(11):1278-1284. DOI:10.11947/j.AGCS.2016.20160284.
[9] ZHANG Bingbing, WANG Zhengtao, ZHOU LV, et al. Precise orbit solution for Swarm using space-borne GPS data and optimized pseudo-stochastic pulses[J]. Sensors, 2017, 17(3):635.
[10] FLECHTNER F, MORTON P, WATKINS M, et al. Status of the GRACE follow-on mission[M]//Gravity, Geoid and Height Systems. Berlin:Springer International Publishing, 2014:117-121.
[11] DACH R, LUTZ S, WALSER P, et al. Bernese GNSS software version 5.2. user manual[M]. Bern:Bern Open Publishing, 2015.
[12] ZEHENTNER N, MAYER-GVRR T. Precise orbit determination based on raw GPS measurements[J]. Journal of Geodesy, 2016, 90(3):275-286.
[13] LVCK C, KUSCHE J, RIETBROEK R, et al. Time-variable gravity fields and ocean mass change from 37 months of kinematic Swarm orbits[J]. Solid Earth, 2018, 9(2):323-339.
[14] DAHLE C, ARNOLD D, JÄGGI A. Impact of tracking loop settings of the Swarm GPS receiver on gravity field recovery[J]. Advances in Space Research, 2017, 59(12):2843-2854.
[15] DA ENCARNAÇÃO J T, ARNOLD D, BEZDĚK A, et al. Gravity field models derived from Swarm GPS data[J]. Earth, Planets and Space, 2016, 68(1):127.
[16] ALLENDE-ALBA G, MONTENBRUCK O, JÄGGI A, et al. Reduced-dynamic and kinematic baseline determination for the Swarm mission[J]. GPS Solutions, 2017, 21(3):1275-1284.
[17] MONTENBRUCK O, HACKEL S, VAN DEN IJSSEL J, et al. Reduced dynamic and kinematic precise orbit determination for the Swarm mission from 4 years of GPS tracking[J]. GPS Solutions, 2018, 22(3):79.
[18] MAO X, VISSER P N A M, VAN DEN IJSSEL J. High-dynamic baseline determination for the Swarm constellation[J]. Aerospace Science and Technology, 2019, 88:329-339.
[19] ZHANG Keke, LI Xingxing, XIONG Chao, et al. The influence of geomagnetic storm of 7-8 September 2017 on the Swarm precise orbit determination[J]. Journal of Geophysical Research:Space Physics, 2019, 124(8):6971-6984.
[20] MEYER U, SOSNICA K, ARNOLD D, et al. SLR, GRACE and Swarm gravity field determination and combination[J]. Remote Sensing, 2019, 11(8):956.
[21] DAHLE C, ARNOLD D, JÄGGI A. Impact of tracking loop settings of the Swarm GPS receiver on gravity field recovery[J]. Advances in Space Research, 2017, 59(12):2843-2854.
[22] CHRISTODOULOU V, BI Yaxin, WILKIE G. A tool for Swarm satellite data analysis and anomaly detection[J]. PLoS ONE, 2019, 14(4):e0212098.
[23] CAI Changsheng, LIU Zhizhao, XIA Pengfei, et al. Cycle slip detection and repair for undifferenced GPS observations under high ionospheric activity[J]. GPS Solutions, 2013, 17(2):247-260.
[24] BOCK H, JÄGGI A, BEUTLER G, et al. GOCE:precise orbit determination for the entire mission[J]. Journal of Geodesy, 2014, 88(11):1047-1060.
[25] BOCK H, JÄGGI A, MEYER U, et al. GPS-derived orbits for the GOCE satellite[J]. Journal of Geodesy, 2011, 85(11):807-818.
[26] XU Guochang. Sciences of geodesy-I:advances and future directions[M]. Berlin:Springer, 2010.
[27] ARNOLD D, MONTENBRUCK O, HACKEL S, et al. Satellite laser ranging to low earth orbiters:orbit and network validation[J]. Journal of Geodesy, 2019, 93(11):2315-2334.
[28] PETROV L, BOY J P. Study of the atmospheric pressure loading signal in very long baseline interferometry observations[J]. Journal of Geophysical Research, 2004, 109(B3):B03405.

Swarm系列卫星非差运动学厘米级精密定轨

Centimeter precise orbit determination for the Swarm satellites via undifferenced kinematic method

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