GPS精密星历拟合方法的研究

Research on the fitting methods of GPS precise ephemeris

考虑到在GPS高精度测量中需要对精密星历进行快速拟合,本文以GPS精密星历为基础,深入研究了利用GPS精密星历拟合卫星三维坐标的方法,对两种常用方法——拉格朗日多项式内插和切比雪夫多项式拟合的处理效果进行了分析和比较。最终给出了两种拟合方法得到的卫星位置误差与阶数的关系,并确定了拉格朗日多项式内插为最佳的卫星轨道拟合方法。

Considering with the need of quickly fitting of the precise ephemeris in the high-precision measurement,this paper made a deep research on methods of calculating the satellite 3D coordinates based on GPS precise ephemeris and procestang effects of two normal methods——Lagrange polynomial interpolation and Chebyshev polynomial fitting were analyzed and compared.The results gave the relationship between the rank code and the satellites position error after orbits fitting and showed that the Lagrange polynomial interpolation could be chosen as the best method of satellite orbit fitting.