随机优化算法的BDS卫星精密轨道确定
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摘要
针对全球北斗地面基准站分布不均匀而影响北斗定轨精度的问题,该文采用格网控制的随机优化选站方法,兼顾测站的质量、分布和站点稳定性等因素,对全球分布的MGEX站均匀选取。运用加权GDOP指标评价选站的有效性,并全面分析了测站数量、分布和质量对定轨精度的影响。结果表明,该方法选取30个测站时,北斗卫星的GEO、IGSO和MEO卫星的精密轨道精度分别为221.56、12.59和6.81cm,比格网法选站有了较大提高。在一定范围内,测站数越多定轨精度越高,全部测站参与解算反而会使定轨精度降低。
In view of the uneven distribution of the BeiDou ground reference station,which affects the accuracy of BeiDou orbit determination,the grid based stochastic optimization method was adopted in this paper,taking account of the quality,distribution and station stability of the stations,the global distribution of MGEX stations was evenly selected.The weighted GDOP index was used to evaluate the effectiveness of the selected stations,and the influence of the number,distribution and quality of the stations on the orbit determination accuracy was comprehensively analyzed.The results showed that the precision orbit accuracy of GEO,IGSO and MEO satellites of BeiDou satellite was 221.56,12.59 and 6.81 cm respectively when 30 stations are selected by this method,there was a greater improvement than the grid method.Within a certain range,the more the number of stations was,the higher the accuracy of orbit determination was.
In view of the uneven distribution of the BeiDou ground reference station,which affects the accuracy of BeiDou orbit determination,the grid based stochastic optimization method was adopted in this paper,taking account of the quality,distribution and station stability of the stations,the global distribution of MGEX stations was evenly selected.The weighted GDOP index was used to evaluate the effectiveness of the selected stations,and the influence of the number,distribution and quality of the stations on the orbit determination accuracy was comprehensively analyzed.The results showed that the precision orbit accuracy of GEO,IGSO and MEO satellites of BeiDou satellite was 221.56,12.59 and 6.81 cm respectively when 30 stations are selected by this method,there was a greater improvement than the grid method.Within a certain range,the more the number of stations was,the higher the accuracy of orbit determination was.
引文
[1]China Satellite Navigation Office.BeiDou navigation satellite system signal in space interface control document open service signal B1I(Version 1.0)[EB/OL].(2012-12-27)[2017-10-09].https://wenku.baidu.com/view/00bc206125c52cc58bd6becf.html.
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[3]刘伟.监测站的分布对定轨精度影响的研究[D].武汉:武汉大学,2005.(LIU Wei.The research on the effect of ground observation stations distribution on the precision of orbit determination[D].Wuhan:Wuhan University,2005.)
[4]彭小强.基于DOP值的定轨测站优选方法研究[D].北京:中国矿业大学,2016.(PENG Xiaoqiang.Research of station optimization method in orbit determination based on the value DOP[D].Beijing:China University of Mining and Technology,2016.)
[5]ZHANG Longping,DANG Yamin,XUE Shuqiang,et al.The optimal distribution strategy of BeiDou monitoring stations for GEO precise orbit determination[M].Berlin:Springer,2015:153-161.
[6]党金涛,郭东晓,李建文,等.导航卫星非差精密定轨测站选取策略分析[J].大地测量与地球动力学,2015,35(6):997-1000.(DANG Jintao,GUO Dongxiao,LI Jianwen,et al.Study of station selection strategy in zero-different precision orbit determination of navigation satellite[J].Journal of Geodesy and Geodynamics,2015,35(6):997-1000.)
[7]韩德强,党亚民,王虎,等.引入国家基准站的北斗导航卫星精密定轨[J].测绘通报,2017(8):1-6.(HANDeqiang,DANG Yamin,WANG Hu,et al.Precise orbit determination of BeiDou navigation system based on national reference station[J].Bulletin of Surveying and Mapping,2017(8):1-6.)
[8]刘伟平,郝金明,魏伟,等.两种北斗卫星精密定轨方法的对比[J].大地测量与地球动力学,2016,36(3):211-215.(LIU Weiping,HAO Jinming,WEI Wei,et al.Comparison of two methods of precise orbit determination of BeiDou satellite[J].Journal of Geodesy and Geodynamics,2016,36(3):211-215.)
[9]张小红,李星星.非差模糊度整数固定解PPP新方法及实验[J].武汉大学学报(信息科学版),2010,35(6):657-660.(ZHANG Xiaohong,LI Xingxing.A new method for zero-difference integer ambiguity resolution and its application to PPP[J].Geomatics and Information Science of Wuhan University,2010,35(6):657-660.)
[10]BLEWITT G.An automatic editing algorithm for GPSdata[J].Geophysical Research Letters,1990,17(3):199-202.
[11]张睿,杨元喜,张勤,等.BDS卫星动力学参数最优解与定轨跟踪站最优分布[J].大地测量与地球动力学,2016,36(3):216-220.(ZHANG Rui,YANG Yuanxi,ZHANG Qin,et al.Optimal estimation of dynamic parameters of BDS orbit for optimal selection of tracking stations[J].Journal of Geodesy and Geodynamics,2016,36(3):216-220.)
[12]薛树强,杨元喜.最小GDOP组合Walker星座构型[J].武汉大学学报(信息科学版),2016,41(3):380-387.(XUE Shuqiang,YANG Yuanxi.Combined Walker configurations with minimal GDOP[J].Geomatics and Information Science of Wuhan University,2016,41(3):380-387.)
[13]李冉,赵春梅,郑作亚,等.基于全球MGEX数据的北斗导航星座精密轨道确定[J].大地测量与地球动力学,2015,35(4):662-665.(LI Ran,ZHAO Chunmei,ZHENG Zuoya,et al.BeiDou navigation constellation orbit determination of based on MGEX data[J].Journal of Geodesy and Geodynamics,2015,35(4):662-665.)
[14]薛树强,杨元喜,陈武,等.正交三角函数导出的最小GDOP定位构型解集[J].武汉大学学报(信息科学版),2014,39(7):820-825.(XUE Shuqiang,YANGYuanxi,CHEN Wu,et al.Positioning configurations with minimum GDOP from orthogonal trigonometric functions[J].Geomatics and Information Science of Wuhan University,2014,39(7):820-825.)
[2]李敏.多模GNSS融合精密定轨理论及其应用研究[D].武汉:武汉大学,2011.(LI Min.Multimode on multi-GNSS precise orbit determination theory and application[D].Wuhan:Wuhan University,2011.)
[3]刘伟.监测站的分布对定轨精度影响的研究[D].武汉:武汉大学,2005.(LIU Wei.The research on the effect of ground observation stations distribution on the precision of orbit determination[D].Wuhan:Wuhan University,2005.)
[4]彭小强.基于DOP值的定轨测站优选方法研究[D].北京:中国矿业大学,2016.(PENG Xiaoqiang.Research of station optimization method in orbit determination based on the value DOP[D].Beijing:China University of Mining and Technology,2016.)
[5]ZHANG Longping,DANG Yamin,XUE Shuqiang,et al.The optimal distribution strategy of BeiDou monitoring stations for GEO precise orbit determination[M].Berlin:Springer,2015:153-161.
[6]党金涛,郭东晓,李建文,等.导航卫星非差精密定轨测站选取策略分析[J].大地测量与地球动力学,2015,35(6):997-1000.(DANG Jintao,GUO Dongxiao,LI Jianwen,et al.Study of station selection strategy in zero-different precision orbit determination of navigation satellite[J].Journal of Geodesy and Geodynamics,2015,35(6):997-1000.)
[7]韩德强,党亚民,王虎,等.引入国家基准站的北斗导航卫星精密定轨[J].测绘通报,2017(8):1-6.(HANDeqiang,DANG Yamin,WANG Hu,et al.Precise orbit determination of BeiDou navigation system based on national reference station[J].Bulletin of Surveying and Mapping,2017(8):1-6.)
[8]刘伟平,郝金明,魏伟,等.两种北斗卫星精密定轨方法的对比[J].大地测量与地球动力学,2016,36(3):211-215.(LIU Weiping,HAO Jinming,WEI Wei,et al.Comparison of two methods of precise orbit determination of BeiDou satellite[J].Journal of Geodesy and Geodynamics,2016,36(3):211-215.)
[9]张小红,李星星.非差模糊度整数固定解PPP新方法及实验[J].武汉大学学报(信息科学版),2010,35(6):657-660.(ZHANG Xiaohong,LI Xingxing.A new method for zero-difference integer ambiguity resolution and its application to PPP[J].Geomatics and Information Science of Wuhan University,2010,35(6):657-660.)
[10]BLEWITT G.An automatic editing algorithm for GPSdata[J].Geophysical Research Letters,1990,17(3):199-202.
[11]张睿,杨元喜,张勤,等.BDS卫星动力学参数最优解与定轨跟踪站最优分布[J].大地测量与地球动力学,2016,36(3):216-220.(ZHANG Rui,YANG Yuanxi,ZHANG Qin,et al.Optimal estimation of dynamic parameters of BDS orbit for optimal selection of tracking stations[J].Journal of Geodesy and Geodynamics,2016,36(3):216-220.)
[12]薛树强,杨元喜.最小GDOP组合Walker星座构型[J].武汉大学学报(信息科学版),2016,41(3):380-387.(XUE Shuqiang,YANG Yuanxi.Combined Walker configurations with minimal GDOP[J].Geomatics and Information Science of Wuhan University,2016,41(3):380-387.)
[13]李冉,赵春梅,郑作亚,等.基于全球MGEX数据的北斗导航星座精密轨道确定[J].大地测量与地球动力学,2015,35(4):662-665.(LI Ran,ZHAO Chunmei,ZHENG Zuoya,et al.BeiDou navigation constellation orbit determination of based on MGEX data[J].Journal of Geodesy and Geodynamics,2015,35(4):662-665.)
[14]薛树强,杨元喜,陈武,等.正交三角函数导出的最小GDOP定位构型解集[J].武汉大学学报(信息科学版),2014,39(7):820-825.(XUE Shuqiang,YANGYuanxi,CHEN Wu,et al.Positioning configurations with minimum GDOP from orthogonal trigonometric functions[J].Geomatics and Information Science of Wuhan University,2014,39(7):820-825.)