北斗精密星历插值及拟合精度分析

Accurate Analysis of Beidou Precise Ephemeris Interpolation and Fitting

分别就非滑动式算法及滑动式算法中Lagrange插值法及Chebyshev拟合法的插值精度情况进行研究,并探究了插值阶次对于插值精度的影响情况。结果表明:1)滑动式算法可以有效削弱低阶次插值过程中的误差,对高阶次插值过程中的误差可以近乎完全消除。2)Lagrange插值法及Chebyshev拟合法在非滑动式算法以及滑动式算法低阶次插值过程中,插值精度基本相同。但在高阶次插值过程中滑动式Lagrange插值法插值精度略高于滑动式Chebyshev拟合法。

The interpolation accuracy of Lagrange interpolation method and Chebyshev fitting method in non-sliding algorithm and sliding algorithm is studied respectively,and the influence of the interpolation order on the interpolation accuracy is explored.The results show that:(1)The sliding algorithm can effectively reduce the errors in the low-order interpolation process,and can almost completely eliminate the errors in the high-order interpolation process.(2)The interpolation accuracy of Lagrange interpolation method and Chebyshev fitting method is basically the same in the low-order interpolation process of non-sliding algorithm and sliding algorithm.However,the interpolation accuracy of sliding Lagrange interpolation method is slightly higher than that of sliding Chebyshev fitting method in the process of higher order interpolation.