基于BDS广播星历的卫星轨道拟合精度分析
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摘要
在实时定位导航中,为了提高利用BDS广播星历计算卫星位置的效率,提出将卫星轨道拟合为一个多项式.首先利用切比雪夫多项式拟合法,将拟合时段固定为1h,拟合间隔固定为5min,每30s选取一个检验点,利用不同的拟合阶数,分别对GEO、IGSO、MEO三类不同类型的北斗卫星轨道进行拟合分析;然后将拟合阶数固定为9,利用2～6min的拟合时间间隔,将三类卫星作为整体进行轨道拟合分析.算例表明,只要选取合适的拟合阶数,三类不同类型的北斗卫星轨道拟合精度都较高,拟合误差最大值在厘米级,误差均值在毫米级,满足精度要求;固定9阶拟合多项式时,2～6min时间间隔的拟合精度都可以满足精度需求.切比雪夫多项式拟合法适用于BDS广播星历的卫星轨道拟合.
In real-time positioning and navigation,in order to improve the efficiency of calculating the satellite position using the broadcast ephemeris of BDS,it is proposed to fit the satellite orbit to a polynomial.Firstly,using Chebyshev polynomial fitting method,the fitting period was fix to 1 h,the fitting interval was fixed at 5 min,and a checkpoint was selected every 30 s,different fitting orders was used,the Beidou satellite orbits of three different types of geostationary earth orbit,medium earth orbit and inclined geosynchronous orbit was fitted and analyzed.Then,the fitting order is fixed at 9,and the orbits of three types of satellites as a whole is fitted and analyzed using a fitting interval of 2 to 6 minutes..The example shows that as long as the appropriate fitting order is selected,the Beidou satellite orbit fitting accuracy of the three different types of orbits is high.The maximum fitting error is in the centimeter level,and the average error is in the millimeter level,which satisfies the precision requirements.When the fitting polynomial is fixed at the 9 th-order,the fitting accuracy of 2～6 min time interval can meet the precision requirement.The Chebyshev polynomial fitting method is suitable for the fitting of the satellite orbit of BDS broadcast ephemeris.
In real-time positioning and navigation,in order to improve the efficiency of calculating the satellite position using the broadcast ephemeris of BDS,it is proposed to fit the satellite orbit to a polynomial.Firstly,using Chebyshev polynomial fitting method,the fitting period was fix to 1 h,the fitting interval was fixed at 5 min,and a checkpoint was selected every 30 s,different fitting orders was used,the Beidou satellite orbits of three different types of geostationary earth orbit,medium earth orbit and inclined geosynchronous orbit was fitted and analyzed.Then,the fitting order is fixed at 9,and the orbits of three types of satellites as a whole is fitted and analyzed using a fitting interval of 2 to 6 minutes..The example shows that as long as the appropriate fitting order is selected,the Beidou satellite orbit fitting accuracy of the three different types of orbits is high.The maximum fitting error is in the centimeter level,and the average error is in the millimeter level,which satisfies the precision requirements.When the fitting polynomial is fixed at the 9 th-order,the fitting accuracy of 2～6 min time interval can meet the precision requirement.The Chebyshev polynomial fitting method is suitable for the fitting of the satellite orbit of BDS broadcast ephemeris.
引文
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[2]陈强强,陈志平,李芳.广义延拓法在GPS精密星历内插和外推中的应用[J].天文研究与技术,2018,15(1):52-58.
[3]张益泽,陈俊平,周建华,等.北斗广播星历偏差分析及改正[J].测绘学报,2016,45(S2):64-71.
[4]赵立都,张双成,范丽红.北斗卫星导航系统广播星历精度分析[J].测绘科学,2017,42(9):158-162.
[5]杨徐,徐爱功,祝会忠,等.北斗卫星精密轨道与钟差精度分析[J].测绘科学,2017,42(12):7-13.
[6]李征航,黄劲松.GPS测量与数据处理[M].武汉:武汉大学出版社,2016.
[7]仝海波,沙海,张国柱,等.一种GNSS卫星轨道高精度实时插值方法[J].国防科技大学学报,2012,34(2):59-63.
[8]孙华丽,张政治.全球定位系统卫星位置计算中插值方法精度分析[J].导航定位学报,2013,1(3):89-93.
[9]彭小强,高井祥.基于滑动式切比雪夫方法的广播星历插值分析[J].煤炭技术,2015,34(6):104-106.
[10]陶庭叶,高飞,刘文星,等.利用RBF神经网络对GPS广播星历插值[J].大地测量与地球动力学,2012,32(2):44-46.
[11]中国卫星导航系统管理办公室.北斗卫星导航系统空间信号接口控制文件公开服务信号B3I(1.0版)[S].2018.