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

作　　者：向荣荣 兰孝奇[1] 刘锋[2] 

机构地区：[1]河海大学地球科学与工程学院,江苏南京210098 [2]安徽省水利水电勘测设计院勘测分院,安徽蚌埠233000

出　　处：《测绘与空间地理信息》2015年第11期131-134,共4页Geomatics & Spatial Information Technology

摘　　要：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.

关 键 词：精密星历 拉格朗日多项式 切比雪夫多项式 插值精度 

分 类 号：P207[天文地球—测绘科学与技术]