空间科学很多方面都涉及到数据处理,将数据处理中常用的拉格朗日、三次样条和切比雪夫多项式应用于人造卫星的位置计算,对结果进行比较以后得到结论:利用拉格朗日内插后切比雪夫多项式拟合的效果比三次样条内插后切比雪夫多项式拟合效果好.
This paper introduces the theories of interpolation using Lag'range,Cubic Spline and Chehyshev polynomials in data processing, and applies these theories in locating satellites in space science. We conclude that the effect of Chebyshev polynomials after the Lagrange interpolation is better than that of Chebyshev polynomials after the spline interpolation.