Solution Method and Precision Analysis of Multi-days Orbit Combination of BeiDou Satellites

doi:10.11947/j.AGCS.2016.20160055

Abstract

Abstract:

Multi-days orbit of BeiDou satellites is gotten by the routine method of stacking observation data at present, which limits calculation efficiency. And moreover, the dynamic model of BeiDou satellites is not perfect because of the short running time, which also limits the precision of multi-days orbit. The method of multi-days BeiDou satellite orbit combination is present. In this method, normal equation stacking is used to combining some consecutive one-day BeiDou satellite orbits to one multi-days orbit, which can improve calculation efficiency. Meanwhile, pseudo-stochastic pulse is used to compensate the deficiency of dynamic model. The analysis shows that it is the pseudo-stochastic pulse at one-day boundary that improves the precision of BeiDou satellite orbits obviously. And the tangential and normal precision is improved more than the radial. The orbit precision of GEO and IGSO is improved more than that of MEO. And the precision of BeiDou satellite orbit can be improved by extending the orbit arc length with certain limits, which is especially in the tangential direction.

Key words: BeiDou navigation satellite system, precise orbit determination, normal equation stacking, orbit combination, pseudo-stochastic pulse

CLC Number:

P228

LIU Weiping, HAO Jinming, YU Heli, TIAN Yingguo. Solution Method and Precision Analysis of Multi-days Orbit Combination of BeiDou Satellites[J]. Acta Geodaetica et Cartographica Sinica, 2016, 45(10): 1157-1164.

References

[1] 杨元喜. 北斗卫星导航系统的进展、贡献与挑战[J]. 测绘学报, 2010, 39(1):1-6. YANG Yuanxi. Progress, Contribution and Challenges of Compass/BeiDou Satellite Navigation System[J]. Acta Geodaetica et Cartographica Sinica, 2010, 39(1):1-6.
[2] 冉承其. 北斗卫星导航系统的发展[R]. 武汉:第四届中国卫星导航学术年会, 2013. RAN Chengqi. Development of BeiDou Navigation Satellite System[R]. Wuhan:CSNC 2013.
[3] 中国卫星导航系统管理办公室. 北斗卫星导航系统发展报告2.2[S]. 北京:中国卫星导航系统管理办公室, 2013:1-10. China Satellite Navigation Office. Report on the Development of BeiDou Navigation Satellite System V2.2[S]. Beijing:China Satellite Navigation Office, 2013.
[4] 郝金明, 刘伟平, 杨力, 等. 北斗卫星导航系统精密定轨技术研究现状[J]. 测绘科学技术学报, 2015, 32(3):221-225, 230. HAO Jinming, LIU Weiping, YANG Li, et al. Status of Precise Orbit Determination of BeiDou Navigation Satellite System[J]. Journal of Geomatics Science and Technology, 2015, 32(3):221-225, 230
[5] BEUTLER G, BROCKMANN E, HUGENTOBLER U, et al. Combining Consecutive Short Arcs into Long Arcs for Precise and Efficient GPS Orbit Determination Combining n Consecutive One-Day-Arcs into One n-days-arc[J]. Journal of Geodesy, 1996, 70(5):287-299.
[6] 姚宜斌. GPS轨道合成原理及其实现[J]. 武汉大学学报(信息科学版), 2007, 32(6):510-514. YAO Yibin. Theory and Realization of GPS Orbit Integration[J]. Geomatics and Information Science of Wuhan University, 2007, 32(11):1487-1492.
[7] BROCKMANN E. Combination of Solutions for Geodetic and Geodynamic Applications of the Global Positioning System (GPS)[D]. Berne:University of Bern, 1996:1-7.
[8] 刘伟平. 北斗卫星导航系统精密轨道确定方法研究[D]. 郑州:信息工程大学, 2014:70-90. LIU Weiping. Research on Precise Orbit Determination of BeiDou Navigation Satellite System[D]. Zhengzhou:Information Engineering University, 2014:70-90.
[9] DONG D, HERRING T A, KING R W. Estimating Regional Deformation from a Combination of Space and Terrestrial Geodetic Data[J]. Journal of Geodesy, 1998, 72(4):200-214.
[10] 姚宜斌. GPS精密定位定轨后处理算法与实现[D]. 武汉:武汉大学, 2004:1-7. YAO Yibin. Research on the Algorithm and Realization of Post-processing for GPS Precise Positioning and Orbit Determination[D]. Wuhan:Wuhan University, 2004:1-7.
[11] 刘伟平, 郝金明, 钱龙, 等. 卫星轨道的法方程叠加合成方法[J]. 测绘科学技术学报, 2014, 31(1):23-27. LIU Weiping, HAO Jinming, QIAN Long, et al. Method of Satellite Orbit Combination Based on Normal Equation Stacking[J]. Journal of Geomatics Science and Technology, 2014, 31(1):23-27.
[12] 施闯, 赵齐乐, 李敏, 等. 北斗卫星导航系统的精密定轨与定位研究[J]. 中国科学:地球科学, 2012, 42(6):854-861. SHI Chuang, ZHAO Qile, LI Min, et al. Precise Orbit Determination of BeiDou Satellites with Precise Positioning[J]. Science China Earth Sciences, 2012, 42(6):854-861.
[13] ZHAO Qile, GUO Jing, LI Min, et al. Initial Results of Precise Orbit and Clock Determination for COMPASS Navigation Satellite System[J]. Journal of Geodesy, 2013, 87(5):475-486.
[14] 刘伟平, 郝金明, 李建文, 等. 多GNSS融合的北斗卫星精密定轨[J]. 测绘学报, 2014, 43(11):1132-1138. DOI:10.13485/j.cnki.11-2089.2014.0186. LIU Weiping, HAO Jinming, LI Jianwen, et al. Multi-GNSS Joint Precise Orbit Determination of BeiDou Navigation Satellite System[J]. Acta Geodaetica et Cartographica Sinica, 2014, 43(11):1132-1138. DOI:10.13485/j.cnki.11-2089.2014.0186.
[15] HE Lina, GE Maorong, WANG Jiexian, et al. Experimental Study on the Precise Orbit Determination of the BeiDou Navigation Satellite System[J]. Sensors, 2013, 13(3):2911-2928.
[16] LIU Yang, LOU Yidong, SHI Chuang, et al. BeiDou Regional Navigation System Network Solution and Precision Analysis[C]//China Satellite Navigation Conference (CSNC) 2013 Proceedings. Guangzhou:CSNC, 2013:173-186.
[17] STEIGENBERGER P, HUGENTOBLER U, MONTENBRUCK O, et al. Precise Orbit Determination of GIOVE-B Based on the CONGO Network[J]. Journal of Geodesy, 2011, 85(6):357-365.
[18] BEUTLER G, BROCKMANN E, GURTNER W, et al. Extended Orbit Modeling Techniques at the CODE Processing Center of the International GPS Service for Geodynamics (IGS):Theory and Initial Results[J]. Manuscripta Geodaetica, 1994, 19:367-386.
[19] 刘伟平, 郝金明, 田英国, 等. 一种伪随机脉冲的快速参数估计方法[J]. 武汉大学学报(信息科学版), 2015, 40(11):1487-1492. LIU Weiping, HAO Jinming, TIAN Yingguo, et al. Fast Parameter Estimation for Pseudo-stochastic Pulse[J]. Geomatics and Information Science of Wuhan University, 2015, 40(11):1487-1492.
[20] BEUTLER G, JÄGGI A, HUGENTOBLER U, et al. Efficient Satellite Orbit Modelling Using Pseudo-stochastic Parameters[J]. Journal of Geodesy, 2006, 80(7):353-372.
[21] 刘林. 天体力学方法[M]. 南京:南京大学出版社, 1998:45-47. LIU Lin. Method of Celestial Mechanics[M]. Nanjing:Nanjing University Press, 1998:45-47.