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SCIENTIA SINICA Informationis, Volume 50 , Issue 12 : 1932(2020) https://doi.org/10.1360/SSI-2019-0279

Compensation for time-tag bias of Doppler measurement from Chang'e-3 probe

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  • ReceivedDec 13, 2019
  • AcceptedFeb 6, 2020
  • PublishedOct 20, 2020

Abstract

Data analysis shows there are periodic systematic errors in the Doppler measurement of the Chang'e-3 lunar probe. According to the Doppler measurement model and orbit information, as well as analysis of the Doppler information, periodic variation in the residuals is related to bias of the time-tag of the measurements. In this paper, self-calibration and differential statistical calibration methods are proposed to compensate this time-tag bias. The time-tag biases of the Jiamusi and Kashi deep space station estimated by these methods were 25 ms and 10 ms, respectively. The root mean square of the Doppler residual was reduced from 1.5 cm/s to 0.3 mm/s after the time-tag bias was compensated. The periodic variation in the residual was removed. In addition, the application of Doppler data in orbit determination was analyzed. Based on the orbit determination of ranging and VLBI data, the position error was only 2.5 m of the orbit determination using the compensated Doppler and VLBI data. The position deviation of the orbit determination obtained using the Doppler and ranging data was 25 m, and the position error of the orbit determination via Doppler data was 200 m.


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  • Figure 1

    Post-fit residuals of orbit determination using ranging, Doppler, and VLBI data. (a) Residuals of ranging data; (b) residuals of Doppler data

  • Figure 2

    Post-fit residuals of orbit determination using ranging + VLBI data and Doppler + VLBI data, respectively. (a) Residuals of ranging data; (b) residuals of Doppler data

  • Figure 3

    Post-fit residuals of orbit determination using ranging data and the Doppler data after the calibration of time-tag bias. (a) Residuals of ranging data; (b) residuals of Doppler data

  • Figure 4

    The difference (a) and time-tag bias (b) of the Doppler data obtained from deep space stations for CE-3 probe in lunar orbit

  • Figure 5

    QQ charts of time-tag bias calibrated by differential statistical method for Doppler data obtained from protectłinebreak (a) Jiamisi and (b) Kashi deep space stations

  • Figure 6

    Post-fit residuals of orbit determination by Doppler data after the calibration of time-tag bias

  • Table 1   Specific description of the measurement data
    Type of measurement Station/baseline Tracking arc
    2013-12-09 04:17$\sim$2013-12-09 05:17
    2013-12-09 06:00$\sim$2013-12-09 07:15
    Range/range rate Jiamusi 2013-12-09 07:59$\sim$2013-12-09 09:12
    2013-12-09 09:56$\sim$2013-12-09 11:10
    2013-12-09 11:54$\sim$2013-12-09 13:07
    Range/range rate Kashi 2013-12-09 13:52$\sim$2013-12-09 15:05
    2013-12-09 15:49$\sim$2013-12-09 17:02
    Time delay/time delay rate Beijing-Kunming 2013-12-09 07:02$\sim$2013-12-09 07:13
    Beijing-Shanghai
    Shanghai-Kunming 2013-12-09 07:59$\sim$2013-12-09 09:07
    Beijing-Urumqi2013-12-09 09:56$\sim$2013-12-09 11:04
    Kunming-Urumqi 2013-12-09 11:54$\sim$2013-12-09 13:02
    Shanghai-Urumqi 2013-12-09 13:52$\sim$2013-12-09 15:00
  • Table 2   Statistics of time-tag bias for Doppler data
    Station Mean $(\mu,\rm{ms})$ Standard deviation $(\sigma,\rm{ms})$ Skewness Kurtosis
    Jiamusi $-$24.76 0.72 0.14560 $-$0.03582
    Kashi $-$10.16 1.27 $-$0.28430 0.05471