摘要
BDS精密星历只能提供离散的卫星三维坐标,为获取任意历元BDS卫星三维坐标,基于非滑动式与滑动式Lagrange插值方法对BDS精密星历进行内插。确定BDS不同卫星插值阶数与插值精度的关系,对两种插值方法的优缺点进行对比分析。插值实验表明:对于同一类型卫星同一插值阶数,滑动式Lagrange插值效果明显优于非滑动式Lagrange插值效果;非滑动式Lagrange方法对GEO、IGSO卫星插值能达到mm精度,对MEO卫星只能达到cm级精度;滑动式插值方法对GEO、IGSO、MEO卫星插值都能达到mm精度;对BDS精密星历内插采用滑动式插值方法的同时应对不同类型卫星的不同坐标分量,可采取相应的插值阶数,使插值精度效果达到最佳。
BDS precision ephemeris can only provide discrete three-dimensional coordinates of satellites.In order to obtain three-dimensional coordinates of arbitrary epoch BDS satellites,BDS precision ephemeris is interpolated based on non-sliding and sliding Lagrange interpolation methods.The relationship between different satellite interpolation orders and interpolation accuracy is determined,and the advantages and disadvantages of the two interpolation methods are compared and analyzed.Interpolation experiments show that the sliding Lagrange interpolation effect is obviously better than the non-sliding Lagrange interpolation effect for the same type of satellites with the same interpolation order,and the non-sliding Lagrange method can achieve the millimeter accuracy for GEO,IGSO satellite interpolation,and only for MEO satellites in centimeter-level precision;sliding interpolation method can achieve millimeter accuracy for GEO,IGSO,and MEO satellite interpolation;the sliding interpolation method is adopted for BDS precise ephemeris interpolation to cope with different coordinate components of different types of satellites at the same time.Interpolation order can achieve the best interpolation accuracy.
作者
从建锋
刘智敏
刘盼
郭金运
CONG Jianfeng;LIU Zhimin;LIU Pan;GUO Jinyun(College of Geomatics,Shandong University of Science and Technology,Qingdao 266590,China;Shandong Provincial Basic Geographic Information and Digital Technology Laboratory,Qingdao 266590,China)
出处
《测绘工程》
CSCD
2019年第6期22-29,共8页
Engineering of Surveying and Mapping
基金
国家自然科学基金资助项目(41374009)
青岛博士后基金(2015186)
关键词
北斗卫星导航系统
拉格朗日插值
滑动式
非滑动式
精密星历
Beidou navigation satellite system
Lagrangian interpolation
sliding
non-sliding
precision ephemeris
