利用Crab脉冲星X射线观测校准星载原子钟频率

doi:10.7527/S1000-6893.2022.26566

Abstract

Abstract:

To improve the long-term time-keeping ability of a spaceborne atomic clock and improve its autonomy， this paper proposes a method for steering the frequency of the spaceborne atomic clock by using the Crab pulsar data observed by XPNAV-1 satellite. In the X-ray pulsar timing processing， we use the Gaussian kernel regression method to smooth the pulsar profile， which can effectively improve the Signal-to-Noise Ratio （SNR） of the pulsar profile and timing precision. By simulating the frequency deviation of the reference clock recording the photon arrival times， the influence of the frequency deviation of the reference clock on pre-fit timing residuals is analyzed. Based on this， a method for frequency calibration of the spaceborne atomic clock is given. For the spaceborne clock with frequency deviation of order 10^－11， the frequency calibration accuracy with relative error of about 40% can be obtained from the Crab Pulsar data for about one month. It is expected that the frequency calibration accuracy of spaceborne clock can be further improved by using the pulsar timing data with a longer time span.

Key words: pulsar, atomic clock, X-ray pulsar timing, frequency steering, timing residual

CLC Number:

V419

Minglei TONG, Mengna HAN, Tinggao YANG, Chengshi ZHAO, Xingzhi ZHU. Correcting frequency of a spaceborne atomic clock using X-ray observations of Crab pulsar[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(3): 526566.

Figures/Tables 11

Table 1

Spin parameters of Crab pulsar

参数	P1数值	P2数值
参考历元（TDB）t₀/s	57 715×86 400+0.016 934	57 737×86 400+0.024 934
$ν 0$ /s^-1	29.6 478 547 456	29.647 153 432 3
$ν ˙$ /s^-2	-368 970.96×10^-15	-368 942.90×10^-15
$ν ¨$ /s^-3	9.183 772 012 612 545×10^-21	9.182 592 438 173 919×10^-21

Table 1

Fig. 1

Table 2

Signal-to-noise ratio of integrated pulse profile folded by different number of sub-phase intervals

子相位间隔数 $N$	SNR
64	3 840.68
128	1 959.79
256	981.64
512	515.77
1 024	270.36
4 096	81.80

Table 2

Fig. 2

Fig. 3

Fig. 4

Fig. 5

Table 3

Estimates of frequency deviations corresponding to different sub-phase intervals and their relative errors

$N$	$y c$ /10^-10	$δ y c$	$y s$ /10^-10	$δ y s$
64	2.659 3	-0.012 9	2.654 0	-0.014 9
128	2.629 0	-0.024 2	2.671 8	-0.008 3
192	2.651 2	-0.015 9	2.698 7	0.001 7
256	2.628 9	-0.024 2	2.685 8	-0.003 1
320	2.656 4	-0.014 0	2.685 4	-0.003 2
384	2.711 6	0.006 5	2.685 2	-0.003 3
448	2.738 1	0.016 3	2.669 0	-0.009 3
512	2.747 0	0.019 6	2.664 8	-0.010 8
576	2.493 2	-0.074 6	2.654 5	-0.014 7
640	1.924 8	-0.285 5	2.654 1	-0.014 8
704	1.789 6	-0.335 7	2.654 3	-0.014 8
768	0.828 3	-0.692 5	2.673 5	-0.007 6
832	1.154 3	-0.571 5	2.663 3	-0.011 4
896	0.413 8	-0.846 4	2.659 7	-0.012 8
960	0.623 1	-0.768 7	2.669 8	-0.009 0
1 024	0.009 8	-1.003 6	2.654 0	-0.014 9

Table 3

Fig. 6

Table 4

Fig. 7

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相对频率偏差设定值	相对频率偏差估计值	相对误差
2.694 1×10^-10	2.685 8×10^-10	-0.003 066 79
2.694 1×10^-11	1.575 26×10^-11	-0.415 301 23
2.694 1×10^-12	-3.506 1×10^-13	-1.130 141 66

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Correcting frequency of a spaceborne atomic clock using X-ray observations of Crab pulsar

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Figures/Tables 11

References 30

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