星间相对运动补偿算法

Algorithm of inter-satellite relative motion compensation

针对卫星间的相对运动误差问题,提出了一种即时准确对相对运动误差进行补偿校正的方法。对星间距离与钟差解耦原理进行研究分析,推导出由于卫星之间的相对运动造成的误差表达式,为消除相对运动误差提供了理论依据。通过仿真相对运动误差,利用星间多普勒测量值以及其中一颗卫星速度进行处理,可以得到比较理想的相对运动补偿结果。以全球卫星导航系统(GNSS)星座卫星为例,最后得到的钟差测量结果可以将由相对运动造成的钟差测量误差降低到0.001 ns以下,为以后星间高精确度测量与时间同步提供了可靠保证。

Based on the analysis of inter-satellite distance and clock error computation, the error expressions caused by the relative motion between the satellites are deduced, which provides a theoretical basis for relative motion error elimination. An ideal result of relative motion compensation can be obtained by simulating the relative motion error and using Doppler measurements. In the case of Global Navigation Satellite System(GNSS) constellation, the deviation of clock error measurement can be reduced to 0.001 ns with the proposed method, which can vastly guarantee inter-satellite measurement accuracy and time synchronization precision in the future.