几种提高IGS精密星历方法的比较  

Comparison of Several Methods to Improve IGS Precision Ephemeris

作　　者：汤伟尧 TANG Wei-yao(China Railway First Surveying and Design Institute Group Co.,Ltd.,Xi'an Shaanxi 710043)

机构地区：[1]中铁第一勘察设计院集团有限公司,陕西西安710043

出　　处：《中国科技纵横》2020年第6期225-227,共3页China Science & Technology Overview

基　　金：中国铁建股份有限公司2019年度科技重大专项(2019-A02)。

摘　　要：对GPS卫星精密星历的Lagrange插值,chebyshv拟合以及离散正交法进行了比较分析.结果表明,拟合算法最佳精度阶数为9阶,插值算法在8阶时计算精度最高,而三种方法的拟合精度排序为:chebyshv拟合>Lagrange插值>离散正交法,尽管chebyshv拟合所得卫星坐标精度最高且不存在法方程病态,但其系数都是在[-1,1]的范围内仍存在缺陷,而离散正交算法对未知数定义域没有要求,更加灵活.The Lagrange interpolation,chebyshv interpolation and three recusive algorithms of GPS saellite ephemeris are compared and analyzed.The results show that the best accuracy of the ftting algorithm is 9th order.The interpolation algorithm has the highest accuracy in the eighth order,and the use of the chebyshv algorithm is because is unknown domain is [-1,1]Equation of the pathological situation,the three recursive agorithm on the unknown domain does not require the domain,it is more flexible.

关 键 词：IGS精密星历 Lagrange插值法 chebyshv拟合法 离散正交算法 

分 类 号：P228.4[天文地球—大地测量学与测量工程]