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勒让德多项式拟合IGS精密星历
引用本文:王思成.勒让德多项式拟合IGS精密星历[J].福建建筑高等专科学校学报,2009(3):279-282.
作者姓名:王思成
作者单位:福建工程学院建筑与规划系,福建福州350108
摘    要:在阐述勒让德多项式拟合算法的基础上,推导出IGS精密星历的勒让德拟舍多项式,通过实例分析拟舍的精度,并与经典的拉格朗日插值、切比雪夫拟合等其他算法进行比较。结果表明。在00:00:00至23:45:00时间段内8阶勒让德多项式拟合的精度高于其他任何一种同阶多项式插值或拟合方法,并且最大误差不超过1cm。

关 键 词:IGS  精密星历  勒让德多项式  精度

Using Legendre polynomial to fit IGS precise ephemeris
Wang Sicheng.Using Legendre polynomial to fit IGS precise ephemeris[J].Journal of Fujian College of Architecture & C.E.,2009(3):279-282.
Authors:Wang Sicheng
Affiliation:Wang Sicheng (Architecture and Planning Department, Fujian University of Technology, Fuzhou 350108 , China)
Abstract:Legendre polynomial fitting algorithm was elaborated. The fitting Legendre polynomial of International GNSS Service (IGS) for precise ephemeris was deduced. The fitting precision was analyzed through a practical example and compared with that of some other algorithms including Lagrange interpolation and Chebyshev fitting. The results show that the fitting precision of Legendre polynomial of 8th order is better than that of any other interpolation or fitting algorithms during the time-segment between 00:00:00 and 23:45:00; that the max-error is less than 1 cm.
Keywords:International GNSS Service (IGS)  precise ephemeris  Legendre polynomial  precision
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