五次样条插值在GPS卫星轨道标准化中的应用

摘要

基于GPS广播星历,利用五次样条插值算法进行卫星轨道标准化计算,计算结果表明该方法具有较高的逼近精度及良好的整体光滑性,并且克服了其他插值方法的一些缺点.%A spline interpolation can obtain higher-level smoothness using lower-level polynomial. In GPS position calculation, if we use suitable method to supply boundary conditions, the spline interpolation function which has better convergence and stability can be proposed. The quintic spline interpolation algorithm is introduced and standardized satellite orbit based on GPS broadcast ephemeris is calculated. The experimental results show this method has higher accuracy of approximation and better smoothness, can avoid some shortcomings compared with other interpolation methods.