两种北斗卫星精密星历外推方法的精度分析  

Accuracy analysis of two precision ephemeris extrapolation methods for BeiDou satellites

作　　者：申少飞 雷伟伟[1] 李振南 马晨阳 SHEN Shaofei;LEI Weiwei;LI Zhennan;MA Chenyang(School of Surveying and Land Information Engineering,Henan Polytechnic University,Jiaozuo 454003,China;Institute of Precision Measurement Science and Technology Innovation,Chinese Academy of Sciences,Wuhan 430077,China)

机构地区：[1]河南理工大学测绘与国土信息工程学院,河南焦作454003 [2]中国科学院精密测量科学与技术创新研究院,湖北武汉430077

出　　处：《测绘通报》2023年第9期12-17,69,共7页Bulletin of Surveying and Mapping

基　　金：国家自然科学基金(41474021)。

摘　　要：国际全球卫星导航系统服务(IGS)中心只提供当天00:00:00—23:45:00的精密星历数据,若要获取当天完整的星历数据,往往采用坐标外推的方法得到23:45:00—24:00:00时段的星历数据。本文采用三角函数插值法和广义延拓逼近法对一段时间不同类型和不同时间间隔的北斗卫星精密星历轨道坐标进行外推。结果表明,GEO卫星精密星历轨道坐标外推精度优于IGSO卫星和MEO卫星;两种外推方法对于5 min时间间隔精密星历外推精度明显高于15 min时间间隔精密星历,且三角函数插值法外推精度优于广义延拓逼近法1~2个数量级。因此,在对北斗卫星精密星历进行轨道坐标外推时,可以优先采用精度更高的三角函数插值法和使用5 min时间间隔的星历数据进行外推计算。The International GNSS Service Center only provides the precision ephemeris data from 00:00:00 to 23:45:00 on the same day.To obtain the complete ephemeris data on the same day,the ephemeris data of 23:45:00—24:00:00 period is often obtained by the method of coordinate extrapolation.In this paper,we use trigonometric interpolation and generalized extended approximation to extrapolate the precise ephemeris orbital coordinates of BeiDou satellites of different types and time intervals for a period of time.The results show that the extrapolation accuracy of the precise ephemeris orbital coordinates of GEO satellites is better than that of IGSO and MEO satellites.The extrapolation accuracy of the two extrapolation methods is significantly higher for the 5 min interval precision ephemeris than for the 15 min interval precision ephemeris,and the extrapolation accuracy of the trigonometric interpolation method is better than that of the generalized extended approximation method with one to two orders of magnitude.Therefore,when extrapolating the orbital coordinates of the precision ephemeris of BeiDou satellites,the trigonometric interpolation method with higher accuracy and the use of ephemeris data with 5 min interval can be preferred for the extrapolation calculation.

关 键 词：北斗卫星精密星历 轨道坐标外推 三角函数插值 广义延拓逼近法 最优精度分析 

分 类 号：P228[天文地球—大地测量学与测量工程]