基于IGS精密星历的卫星位置内插方法比较

摘要

在高精度的GPS测量数据处理过程中,获取高精度卫星轨道是重要的环节,内插是获取任意历元的精密轨道信息的重要手段,本文利用IGS提供的精密星历用MATLAB作为工具编程计算,用实例分析和比较了拉格朗日插值法、牛顿插值法、内维尔逐次插值法以及最小二乘拟合在求卫星坐标当中的应用效果。前三种方法在16阶时内插精度最高,内维尔插值和牛顿插值有很多相似的特性,方便灵活,龙格现象没有拉格朗日插值那么剧烈,将会得到广泛应用。%In the high-precision GPS measurement data processing,to obtain high-precision satellite orbit is an important link.Interpolation is an important means for obtaining any precise orbit information in any epoch.This article provided by IGS precise ephemeris using MATLAB as a tool for programming comparatives and analyses the ways which contain Lagrange interpolation,Newton interpolation,Neville interpolation and least square fitting with the example that these ways is used to obtain the position of satellite.The first three in the 16-order time interpolation have the highest accuracy,Neville interpolation and Newton Interpolation has many similar features,it is convenient and flexible.Its runge phenomenon is less severe than Lagrange interpolation.So it will be widely used.