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Research ArticleOriginal Article
Open Access

Real-Time Precise GPS Orbit and Clock Estimation With a Quasi-Orbit-Fixed Solar Radiation Pressure Model

Peizhao Liu and Junping Chen
NAVIGATION: Journal of the Institute of Navigation December 2022, 69 (4) navi.549; DOI: https://doi.org/10.33012/navi.549
Peizhao Liu
Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai, China
University of Chinese Academy of Sciences, Beijing, China
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Junping Chen
Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai, China
University of Chinese Academy of Sciences, Beijing, China
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  • For correspondence: [email protected]
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  • FIGURE 1
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    FIGURE 1

    Geometric relationship between Sun-Earth-satellite triplet and orientation of SRP reference frame

  • FIGURE 2
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    FIGURE 2

    Determination of optimal process noises for SRP parameters; all process noise values are in units of m/s2.

  • FIGURE 3
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    FIGURE 3

    Distribution of the 60-station network for experiments

  • FIGURE 4
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    FIGURE 4

    Accuracy comparison for experiments with different SRP models considering the GPS constellation as a whole

  • FIGURE 6
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    FIGURE 6

    Satellite-specific accuracy comparison for experiments with different SRP models

  • FIGURE 7
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    FIGURE 7

    Daily accuracy time series for individual satellites (color dots) and constellation mean (black lines) in experiment circ

  • FIGURE 5
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    FIGURE 5

    Accuracy comparison for experiments with different SRP models considering non-eclipsing satellites as a whole

  • FIGURE 8
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    FIGURE 8

    Statistics of epoch execution time

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    TABLE 1

    Error Sources in Measurement Modeling

    ItemStrategyTreatment
    Sagnac effectEquation (19.07) in Hauschild (2017)Corrected in data reduction
    Periodic relativistic effectEquation (19.16) in Hauschild (2017)Corrected in data reduction
    Shapiro effectEquation (19.14) in Hauschild (2017)Corrected in data reduction
    Wind-up effectWu et al. (1993)Corrected in data reduction
    Satellite antenna PCO/PCV

    igs14_wwww.atx

    Yaw-steering satellite attitude model

    Corrected in data reduction
    Receiver antenna PCO/PCVigs14_wwww.atxCorrected in data reduction
    Tidal displacements

    Solid Earth tides

    Ocean loading

    Pole tides

    Refer to Petit and Luzum (2010)

    Corrected in data reduction
    Tropospheric delay (dry)

    Zenith path delay: global pressure temperature (GPT) model + Saastamoinen model

    Dry mapping function: global mapping function (GMF) model

    Corrected in data reduction
    Ionospheric delay (1st-order)IF linear combinationEliminated
    Ionospheric delay (higher-order)NoneIgnored
    Tropospheric delay (wet)Wet mapping function: GMF modelEstimated in data filtering
    Satellite state errorDynamical model in Section 2.2Estimated in data filtering
    Satellite clock errorEpoch-wise parameterEstimated in data filtering
    Receiver clock errorEpoch-wise parameterEstimated in data filtering
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    TABLE 2

    Processing Strategies in Orbit Modeling

    ItemStrategyComments
    Geopotential

    EGM2008 model

    Truncation up to degree and order 12

    IERS Conventions 2010

    IERS Conventions 2010

    Tidal potentials

    Solid Earth tides

    Pole tides

    Ocean tides ignored

    IERS Conventions 2010
    Third-bodyMoon, Sun, and all other major planetsJPL DE405
    Relativistic correctionSchwarzschild term considered onlyIERS Conventions 2010
    Solar radiation pressure

    The new SRP model in Section 2.3

    Reduced ECOM model

    Quasi-orbit-fixed frame

    Satellite-fixed frame

    Satellite attitudeNominal yaw-steering model
    Satellite eclipseCylindrical model for Earth/Moon shadowR⊕ = 6371 km, Embedded Image
    Numerical integratorRunge-Kutta fourth-order methodStep size 30 s
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    TABLE 3

    Filter Parameterization and Tuning

    Parameter typeCountInitial noiseProcess noise (30 s)
    Satellite position3 × nsat = 96100 m0 m
    Satellite velocity3 × nsat = 96100 m/s0 m/s
    SRP dynamical parameters
       1. The new SRP model7 × nsat = 224100 m/s210−13 m/s2
       2. Reduced ECOM model5 × nsat = 160100 m/s210−12 m/s2
    Satellite clock offset1 × nsat = 32108 m108 m
    Receiver clock offset1 × nsta = 60108 m108 m
    Tropospheric zenith delay1 × nsta = 60100 m10−4 m
    Ambiguity10 × nsta = 600108 m10−3 m
    Total
       1. The new SRP model1168
       2. Reduced ECOM model1104
    • Note: nsat = 32 and nsta = 60.

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    TABLE 4

    Processing Configurations in Experiments

    ItemStrategy
    Time spanFrom 10-01-2019 to 12-31-2019
    Satellite systemGPS
    Number of stations60 (Distribution in Figure 3)
    Observable

    C1C / L1C / C2W / L2W

    Undifferenced

    IF linear combination

    Elevation mask15°
    Weighting strategy

    Pseudorange: 5.0 m

    Carrier-phase: 0.01 m

    Elevation-dependent with sin2(e)

    Cycle-slip detection

    MMW: 5 cycles

    MGF: 0.3 m

    Residual screen

    Pseudorange: 10.0 m

    Carrier-phase: 0.05 m

    Data sample rate30 s
    Orbit update rate30 s
    Orbit/Clock output30 s in SP3-c format

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NAVIGATION: Journal of the Institute of Navigation: 69 (4)
NAVIGATION: Journal of the Institute of Navigation
Vol. 69, Issue 4
Winter 2022
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Real-Time Precise GPS Orbit and Clock Estimation With a Quasi-Orbit-Fixed Solar Radiation Pressure Model
Peizhao Liu, Junping Chen
NAVIGATION: Journal of the Institute of Navigation Dec 2022, 69 (4) navi.549; DOI: 10.33012/navi.549

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Real-Time Precise GPS Orbit and Clock Estimation With a Quasi-Orbit-Fixed Solar Radiation Pressure Model
Peizhao Liu, Junping Chen
NAVIGATION: Journal of the Institute of Navigation Dec 2022, 69 (4) navi.549; DOI: 10.33012/navi.549
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    • 1 INTRODUCTION
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Keywords

  • clock
  • GNSS
  • GPS
  • orbit
  • real-time
  • solar radiation pressure

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