基于三次样条插值法的BDS精密星历分析

Beidou Precise Ephemeris Analysis Based on Cubic Spline Interpolation Method

如何提高卫星定位精度是当前重要的研究问题,而精密星历在高精度卫星定位过程中起着至关重要的作用。以往的研究是通过对精密星历中的导航卫星位置坐标直接进行插值计算,插值计算条件比较单一。为了进一步提高对精密星历插值计算的精度,论文提出使用卫星速度作为插值计算边界条件的插值方法,对不同时段的精密星历数据使用三次样条插值法进行计算。实验结果表明:使用三次样条插值法对精密星历的计算精度在之前毫米级上提升大约一个数量级,在位置数据变化巨大的情况下精度最低也维持在毫米级。论文丰富了对精密星历进行插值计算分析的方法与思路,对提高后处理精密单点定位精度有很重要的意义。

How to improve the accuracy of satellite positioning is an important research problem at present,and the precise ephemeris plays a crucial role in the process of high precision satellite positioning.In the previous studies,the position coordinates of navigation satellites in precise ephemeris are directly interpolated,and the interpolation calculation conditions are relatively sim⁃ple.In order to further improve the accuracy of precision ephemeris interpolation,this paper proposes an interpolation method using satellite velocity as interpolation boundary conditions,and uses cubic spline interpolation method to calculate precision ephemeris data at different time periods.The experimental results show that the precision of the cubic spline interpolation method for precise ephemeris is about one order of magnitude higher than that of the previous one,and the minimum accuracy is maintained at the milli⁃meter level even when the position data changes greatly.This paper enriches the methods and ideas of interpolation calculation and analysis of precision ephemeris,which is of great significance to improve the precision of post-processing precision single point posi⁃tioning.