X射线脉冲星导航的最优观测周期确定

doi:10.7527/S1000-6893.2022.26597

Abstract

Abstract:

To improve the estimation accuracy of observation pulse phase， the relationship between pulsar observation period and observation pulse phase estimation accuracy in navigation is studied. Firstly， the theoretical lower bound of observation pulse phase estimation variance at spacecraft is derived， and then the relationship between observation pulse phase estimation error and pulsar observation period is given. Taking the minimum mean square error of observation pulse phase estimation as the criterion， the approximate calculation formula of the optimal observation period is given. Finally， the observational data of PSR B0531+21 are used to verify the correctness of the formula. The simulation results show that the prediction error of the given optimal observation period formula for PSR B0531+21 is 44 s， which proves the correctness of the formula given in this paper and provides a theoretical basis for determining the observation period of pulsars in navigation.

Key words: pulsar navigation, observation pulse phase, observation period, theoretical lower bound, mean square error

CLC Number:

V249.32⁺3

Jianyu SU, Haiyan FANG, Jingjing GAO, Liang ZHAO. Determination of optimal observation period for X-ray pulsar-based navigation[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(3): 526597-526597.

Figures/Tables 10

Table 1

Table 2

Table 3

Initial error

初始条件	偏差	噪声方差
$δ r 0$	（40， 40， 40） km	（144， 144， 144） km²
$δ v 0$	（0.040， 0.040， 0.040） km/s	（0.000 1， 0.000 1， 0.000 1） km²/s²

Table 3

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Fig. 5

Fig. 6

Fig. A1

References 26

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轨道参数	参数值
半长轴/km	6 778.5
偏心率	0.000 32
轨道倾角/（°）	51.5
升交点赤经/（°）	224.2
近地点幅角/（°）	179.3
真近点角/（°）	270.3

脉冲星	自转频率/s^-1	频率一阶项/s^-2	频率二阶项/s^-3	源流量/（photons·s^-1）	背景流量/（photons·s^-1）	赤经/（°）	赤纬/（°）
PSR B0531+21	29.626 7	-3.69×10^-10	2.10×10^-20	527	10 536	83.634 6	22.013 0
PSR B1821-24	327.868 9	-1.73×10^-13	5.85×10^-30	0.81	1.87	276.131 3	-24.872 1

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Determination of optimal observation period for X-ray pulsar-based navigation

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