用Lagrange多项式内插计算GPS卫星位置

摘要

In GPS measurements process, the CPS satellite position need to be obtained at any time. Using Lagrange polynomial algorithm , combined IGS tracking station to provide precise ephemeris as an example, the relationships between Lagrange polynomial order and the satellite position error are given with Matlab calculation programming. The results show that using Lagrange polynomial interpolation can get satellite ephemeris with high accuracy,and it has the application values in engineering practice.%在GPS测量过程中,需要获取任意时刻的GPS卫星位置.该文采用拉格朗日多项式算法,以IGS跟踪站提供的精密星历作为实例,采用Matlab计算编程,给出了拉格朗日多项式阶数与卫星位置误差的关系.结果表明,采用拉格朗日多项式内插可以得到高精度的卫星星历,具有工程应用价值.