星间DOWRT中的相对论效应分析与修正

推导了双向单程测距与时间同步(DOWRT,Dual One-Way Ranging/Time Synchronization)的解耦方程,分析了空间动态下DOWRT法的计算方法及相对论效应在测距和时间比对中的影响,提出了带有相对论效应修正的DOWRT算法,最后分别仿真分析了低轨编队飞行卫星和导航星座中的距离与时间同步测量中相对论效应引起的误差.结果表明:卫星间采用DOWRT测量方法时,由相对论效应引起的低轨短基线编队飞行卫星间距离测量误差为米级、时间同步误差为亚皮秒级,而在导航星座测量中引起近百米级距离测量误差和高达微秒级的时间同步误差.因此为了实现导航卫星间高精度距离与时间同步测量,必须进行相对论效应修正.

Analysis and correction on relativistic effect of inter-satellites using dual one-way ranging/time synchronization

The calculation of dual one-way ranging/time synchronization(DOWRT) between dynamic satellites was analyzed.In addition,relativistic effect on ranging/time synchronization was presented.A calculation with relativistic correction of DOWRT was proposed.Measurement errors of ranging/time synchronization in low earth orbit(LEO) formation constellation and in navigation constellation caused by relativistic effect were simulated and comparatively analyzed.Simulation results demonstrate that when inter-satellite DOWRT method is adopted,ranging measurement and time synchronization errors during LEO formation flying caused by relativistic effects are in meter-scale and sub-picosecond level respectively,while in navigation constellation measurement,the corresponding errors would be in hundred-meter scale and microsecond level.As a result,relativistic correction should be included in order to realize high-precision ranging and time synchronization measurement between navigation satellites.