基于拉格朗日多项式的精密星历坐标插值  

The Precise Ephemeris' Coordinate Interpolation Based on Lagrange Polynomial

作　　者：鹿德凯[1] 姜本朋 曹景庆 岳冲[1] 刘啸添 

机构地区：[1]中国矿业大学(北京)地球科学与测绘工程学院,北京100083 [2]黑龙江第三测绘工程院,黑龙江哈尔滨150025

出　　处：《北京测绘》2015年第2期59-62,共4页Beijing Surveying and Mapping

摘　　要：为获得任意时刻的卫星坐标位置,采用拉格朗日插值模型对精密星历坐标内插实验验证,并探讨插值模型的适用范围。实验表明,拉格朗日多项式的插值阶数高于10阶时可以获得毫米级的精度,插值阶数高于13阶时精度趋于稳定。利用此方法能满足实际测量工作的要求。In order to obtain the satellite coordinates at any time,we validate precise ephemeris＇ coordinate interpolation method,and discuss the applicable interpolation scope using the Lagrange interpolation model.The results show that,When the order of a polynomial number is higher than 10,we can obtain the precision of millimeter.When the order is higher than 13,the precision tends to be stable and the precision can meet the requirements of precision positioning.This method can meet the requirements of actual surveying work.

关 键 词：拉格朗日多项式 插值方法 精密星历 卫星坐标 

分 类 号：P228.4[天文地球—大地测量学与测量工程]