The Timing Equation in X-Ray Pulsar Autonomous Navigation

Effect of Ephemeris on Pulsar Timing and Navigation Accuracy Based on X-ray Pulsar Navigation-I Data

“…After the time scales at the spacecraft and SSB are unified, the spatial light-travel delay can be calculated according to the geometric relationship between them, that is, ∆R, ∆S and ∆P in Formula (1) (observation formula in pulsar navigation or timing). Formula ( 9) is the solar system light-travel delay for X-ray pulsar observation [5,10,12]…”

“…According to the traditional navigation and positioning theory, in Formula ( 9), if the timing result on the right side is known, r can be calculated iteratively. Without considering the clock difference, the absolute spatial positioning can be achieved by observing three pulsars simultaneously [10,12]. However, considering the limited relevant research at present, there is no space experiment using this ideal model for navigation verification.…”

“…Since the concepts of pulsar timing and navigation were proposed in the 1970s, many researchers have demonstrated their specific implementation methods and feasibility by developing a set of relatively mature theoretical methods [9][10][11][12][13][14][15]. At the same time, related satellites in orbit experiments were also gradually carried out [7,11].…”

Test of pulsar navigation with POLAR on TG-2 space station

“…Star Interior Composition Explorer, NICER)项目, 开展 脉冲星自主导航试验(http://heasarc.gsfc.nasa.gov/docs/ nicer). 近年来, 国内外在X射线脉冲星导航的理论、 算法及误差分析等方面还有大量研究工作 [7][8][9][10][11][12][13][14] , 并针 对近地轨道、火星轨道及深空轨道开展了大量的模 拟分析 [15][16][17][18] . [19] [20] 软件进行计时分析, 其结果见表1.…”