拉格朗日和切比雪夫多项式在精密星历插值中的应用

The Application of Precise Ephemeris Interpolation by Lagrange Polynomial and Chebyshev Polynomial

文中分别采用拉格朗日多项式和切比雪夫多项式,对时间间隔为15 min的IGS精密星历进行内插和拟合,将插值结果与原始精密星历进行比较。在此基础上分析了不同阶数下的插值精度,并将这两种方法做一些比较,得出结论:采用一定阶次的拉格朗日和切比雪夫多项式做精密星历内插均达到毫米级的精度,且两种方法的插值效果比较接近。

The paper respectively use Lagrange polynomial and Chebyshev polynomial to interpolate and fit the precise ephemeris with an interval of 15 minutes provided by IGS and compare the result with original precise ephemeris. On the basis of that,the paper analysis the two methods’ accuracy of different order number and compare them,and then conclusions are obtained,that is,the accuracy of precise ephemeris interpolation by Lagrange polynomial and Chebyshev polynomial with a certain degree can reach millimeter,and the interpolation effect of the two methods are close to each other.