基于滑动式算法的IGS精密星历内插与拟合精度

摘要

从Lagrange和Chebyshev多项式插值余项误差方面分析了进行滑动式插值的必要性,并通过具体算例得出结论:2种模型最佳插值结果精度相当,阶数选择恰当,可达亚mm级;随着插值阶数增加,Chebyshev拟合偏差成级数增加,而Lagrange内插精度降低不明显;采用非滑动式算法,Lagrange偏差可达m级,Chebyshev精度相对稳定,达cm级.%This paper analyzed the necessity of sliding interpolation from the remainder error of Lagrange and Chebyshev polynomial interpolation aspects, and through the specific example obtained that the best interpolation results were equivalent accuracy of the two models. If you choose the appropriate order, sub-millimeter accuracy can be achieved. With the interpolation order increases, the Chebyshev fitting deviation into a series to increase, while the Lagrange interpolation accuracy is not significantly reduce. The deviation of non-sliding algorithm of Lagrange could achieve meter level. The deviation of non-sliding algorithm of Chebyshev could achieve centimeter level.