IGS精密星历内插与拟合法精度的比较

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摘要对GPS卫星精密星历Lagrange插值、Neville插值、Chebyshev多项式拟合以及Legendre多项式拟合算法进行了比较分析。结果表明，插值算法在8阶时计算精度最高，拟合算法最佳阶数为9；相同阶次的插值算法精度相同，相同阶次的拟合算法精度相同；相同阶次的拟合算法适用的历元时段较插值算法长。

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	李明峰
	江国焰
	张凯

关键词 ：精密星历, Lagrange插值, Neville插值, Chebyshev多项式拟合, Legendre多项式拟合

Abstract：The principles of Lagrange interpolation, Neville interpolation, Chebyshev polynomial fitting and Legendre polynomial fitting were analysized compared with each other. The results indicate that the best orders of interpolating algorithm and fitting algorithm are 8 and 9 respecdively and each algorithm has the same accuracy when their orders are the same. Besides,the stage of epoch which fitting algorithm is suitable to is longer than that for interpolating algorithm in the same order.

Key words： precise ephemeris Lagrange interpolation Neville interpolation Chebyshev polynomial fitting Legendre polynomial fitting

收稿日期: 1900-01-01

PACS:

P207

通讯作者: 李明峰

引用本文:

李明峰,江国焰,张凯. IGS精密星历内插与拟合法精度的比较[J]. , 2008, 28(2): 77-80.

Li Mingfeng,Jiang Guoyan,and Zhang Kai. COMPARISON OF INTERPOLATING AND FITTING IGS PRECISE EPHEMERIS[J]. jgg, 2008, 28(2): 77-80.

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http://www.jgg09.com/CN/ 或 http://www.jgg09.com/CN/Y2008/V28/I2/77