摘要
为解决GPS卫星广播星历的拟合问题,采用最小二乘算法给出了由精密星历拟合广播星历参数的过程,探讨了拟合过程中采用数值导数计算参数偏导数的方法以及数值导数微小量的选取准则,对不同拟合时长的拟合精度及外推精度进行了详细的分析.研究结果表明:数值导数方法在广播星历拟合中是有效的;拟合精度随着拟合时长的增加显著降低,拟合时长为2 h、3 h、4 h,时段内拟合精度分别为1.6 cm、7.7 cm、23.8 cm;外推精度与拟合时长以及外推时长都有关,拟合时长增长时外推精度降低,而相同拟合时长下,外推精度也随着外推时长的增长显著降低.
For the purpose of fitting GPS broadcast ephemeris, this paper presents the fitting algorithm of broadcast ephemeris with precise satellites＇ orbit using the least square method. The method of calculating numerical derivative to calculate the partial derivative of the orbital elements is introduced and the orbit fitting accuracy and orbit extrapolating accuracy is analyzed in this paper. It shows that the method of calculating numerical derivative is valid. The fitting accuracy decreases with the increase of fitting time, with a fitting accuracy of 1.6 cm, 7.7 cm and 23.8 cm for a fitting period of 2 h, 3 h and 4 h, respectively. The extrapolating accuracy decreases significantly with the fitting period increases as well as the extrapolating period increases.
出处
《辽宁工程技术大学学报（自然科学版）》
CAS
北大核心
2014年第8期1118-1122,共5页
Journal of Liaoning Technical University (Natural Science)
基金
国家自然基金资助项目(41174023)
国家973计划基金资助项目(02502430009)
关键词
GPS广播星历
卫星轨道参数
最小二乘拟合
数值导数
拟合精度
外推精度
GPS broadcast ephemeris
satellite orbit elements
least square method
numerical derivate
fitting accuracy
extrapolating accuracy
