利用精密星历计算北斗卫星坐标的方法探讨  

The Method of Calculating Beidou Satellite Coordinates Using Precise Ephemeris

作　　者：苏怡婷 肖琴琴 SU Yiting;XIAO Qinqin(College of Geology and Mapping, Tianjin Chengjian University, Tianjin 300384, China;School of Municipal and Mapping Engineering,Hunan City University, Yiyang, Hunan 413000, China)

机构地区：[1]天津城建大学地质与测绘学院,天津300384 [2]湖南城市学院市政与测绘工程学院,湖南益阳413000

出　　处：《湖南城市学院学报（自然科学版）》2018年第6期57-62,共6页Journal of Hunan City University:Natural Science

摘　　要：本文以北斗卫星的精密星历作为实验数据,采用不同的拟合方法计算卫星的三维坐标,对3种常用的方法,即多项式拟合法、拉格朗日插值法和切比雪夫多项式拟合法,所计算的卫星坐标结果进行分析与比较,最后得到了3种拟合方法中卫星位置误差与阶数的关系,得出了适合计算任意时刻北斗卫星坐标的拟合方法和阶数,并获得了不同轨道卫星与拟合方法的关系,可为今后的研究提供一定的理论基础﹒In this paper the precise ephemeris of the Beidou satellite is used as the experimental data,and the different fitting methods are used to calculate the three-dimensional coordinates of the satellite.The paper analyzes and compares the rusult of the commom three methods which are the polynomial fitting method,the Lagrange interpolation method and the Chebyshev polynomial fitting method.Finally,the paper obtains the relationship between the satellite position error and the order of the three fitting.The fitting method and order which are fit for calculating of Beidou satallite at any time is obtained.What’s more,the relationship between different orbiting satellites and the fitting method is obtained.The conclusions provide a theoretical basis for future research.

关 键 词：精密星历 卫星坐标 多项式拟合法 拉格朗日插值法 切比雪夫拟合法 

分 类 号：P228.1[天文地球—大地测量学与测量工程]