摘要
系统分析和总结基于广播星历和精密星历的导航卫星速度和加速度的计算方法,包括:①基于广播星历的公式法;②基于导航卫星位置序列的数值差分法;③基于导航卫星位置序列的解析差分法。首先在基于广播星历的公式法中,推导出Kepler根数型、GEO型、位置-速度型等3类广播星历计算卫星速度和加速度的解析计算公式,通过比较表明:①广播星历解析公式总体计算精度较低;②位置-速度型广播星历的加速度计算精度高,而Kepler型广播星历的速度计算精度高;③高轨道卫星的速度、加速度计算精度优于中轨卫星。进一步分析基于精密星历的数值差分法和解析差分法的卫星速度和加速度的计算方法。两种方法的比较研究表明,解析差分法虽然在计算效率上具有优势,但利用短期位置序列建立的解析模型难以表达卫星的真实轨道特征,导致计算的卫星速度较数值差分法低,但两者的加速度计算精度相当。最后通过来自于连续运行参考系统(continues operational reference system,CORS)站点上的实测数据对各方法的计算精度进行评估和比较,结果表明数值差分法具有最高的速度和加速度计算精度。
A systemic analysis of the different methods to calculate the velocities and accelerations of the navigation satellites is made, including O the closed analytical method based on broadcast elghemeris （1） the numerical differencing method based on position series of the satellite Q the analytical differencing method based on position series of the satellite. Firstly, the analytical expressions are deduced based on broadcast ephemeris, three types of broadcast ephemeris, including Kepler elements, GE~, and position-velocity type are discussed. The results can be drawn from precision comparison as follows, ~ the accuracy of velocity and acceleration derived from broadcast ephemeris is relative low, and can not match the high precision applications, such as airborne gravimetric measurement~ Q the acceleration accuracy is higher derived from position-velocity broadcast ephemeris while the Kepler type has higher velocity accuracy （3） the orbit height is one of the factors of the computation precision. Then, the analytical differencing and numerical differencing based on precision ephemeris to derive velocities and acceleration are analyzed and compared, the results shows that although the analytical method has advantages on efficient, the velocities computation precision is lower for the orbit analytical model built from short term position series is inaccurate, however, the acceleration computation precision is compared to the numerical differencing method. Finally, a static experiment is conducted which data from two CQRS （continues operational reference system） stations to evaluate and compare the computation accuracy among the methods mentioned above.
出处
《测绘学报》
EI
CSCD
北大核心
2012年第6期816-824,共9页
Acta Geodaetica et Cartographica Sinica
基金
国家自然科学基金(61273055
61104201)
湖南省优秀研究生创新资助(CX2010B012)
关键词
速度
加速度
精度分析
数值差分
解析差分
广播星历
GNSS
velocity
acceleration
accuracy analysis
numerical differencing
analytical differencing
broadcastephemeris~ GNSS
