Publications related to the GRACE Missions (no abstracts)

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Reduced–Dynamic Orbit Determination of Low–Orbit Satellites Taking into Account GNSS Attitude Errors

Liu, Liang, Liu, Yuhao, Chen, Yibiao, and Qian, Chuang, 2026. Reduced–Dynamic Orbit Determination of Low–Orbit Satellites Taking into Account GNSS Attitude Errors. Remote Sensing, 18(2):373, doi:10.3390/rs18020373.

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BibTeX

@ARTICLE{2026RemS...18..373L,
       author = {{Liu}, Liang and {Liu}, Yuhao and {Chen}, Yibiao and {Qian}, Chuang},
        title = "{Reduced-Dynamic Orbit Determination of Low-Orbit Satellites Taking into Account GNSS Attitude Errors}",
      journal = {Remote Sensing},
     keywords = {nominal attitude, attitude quaternion, GRACE-FO, eclipse season, reduced-dynamic orbit determination},
         year = 2026,
        month = jan,
       volume = {18},
       number = {2},
          eid = {373},
        pages = {373},
     abstract = "{What are the main findings? This study quantifies the differences
        between nominal yaw-steering attitudes and analysis-center
        attitude-quaternion yaw angles for GNSS satellites during
        eclipse seasons and demonstrates how these discrepancies
        propagate into satellite antenna phase center offset (PCO) and
        phase wind-up corrections. A simplified reduced-dynamic precise
        orbit determination (POD) strategy for Low Earth Orbit (LEO)
        satellites that consistently applies GNSS attitude quaternions
        is implemented and validated using GRACE-FO onboard GPS
        observations. For day-of-year (DOY) 90─109 of 2023, the
        quaternion-based strategy reduces the ionosphere-free carrier-
        phase residual RMS by 3.6\% (GRACE-C) and 3.9\% (GRACE-D) and
        improves the 3D orbit overlap RMS by 7.3\% and 4.5\%,
        respectively, relative to the nominal-attitude strategy. This
        study quantifies the differences between nominal yaw-steering
        attitudes and analysis-center attitude-quaternion yaw angles for
        GNSS satellites during eclipse seasons and demonstrates how
        these discrepancies propagate into satellite antenna phase
        center offset (PCO) and phase wind-up corrections. A simplified
        reduced-dynamic precise orbit determination (POD) strategy for
        Low Earth Orbit (LEO) satellites that consistently applies GNSS
        attitude quaternions is implemented and validated using GRACE-FO
        onboard GPS observations. For day-of-year (DOY) 90─109 of 2023,
        the quaternion-based strategy reduces the ionosphere-free
        carrier-phase residual RMS by 3.6\% (GRACE-C) and 3.9\%
        (GRACE-D) and improves the 3D orbit overlap RMS by 7.3\% and
        4.5\%, respectively, relative to the nominal-attitude strategy.
        What are the implications of the main findings? The results
        indicate that user─product inconsistencies in GNSS eclipse-
        season attitude handling (e.g., neglecting or mismodeling yaw
        maneuvers relative to the processing of precise orbits/clocks)
        can introduce decimeter-level range errors through PCO and phase
        wind-up corrections, degrading LEO POD during eclipse seasons.
        Ensuring the consistent use of GNSS attitude quaternion products
        in precise orbit determination is essential to maintain
        centimeter-level LEO orbit accuracy during eclipsing and to
        improve the reliability of gravity field missions and other
        GNSS-LEO integrated applications. The results indicate that
        user─product inconsistencies in GNSS eclipse-season attitude
        handling (e.g., neglecting or mismodeling yaw maneuvers relative
        to the processing of precise orbits/clocks) can introduce
        decimeter-level range errors through PCO and phase wind-up
        corrections, degrading LEO POD during eclipse seasons. Ensuring
        the consistent use of GNSS attitude quaternion products in
        precise orbit determination is essential to maintain centimeter-
        level LEO orbit accuracy during eclipsing and to improve the
        reliability of gravity field missions and other GNSS-LEO
        integrated applications. Satellite attitude is critical for both
        satellite antenna phase center offset and phase wind-up
        correction. However, during the eclipse season, the nominal
        satellite attitude is almost impossible to maintain, and the
        satellite attitude variability affects the geometric distance
        correction of GNSS-LEO satellites, which ultimately affects the
        orbital accuracy of LEO satellites. To explore the impact of
        neglecting eclipsing attitude models on LEO satellite orbit
        determination, this study utilizes the attitude quaternion
        products provided by CNES to analyze the discrepancies between
        nominal attitude yaw angles and attitude quaternion-derived yaw
        angles. It also examines the variations in phase center offset
        and phase wind-up corrections, caused by neglecting eclipsing
        attitude models. The model is validated through orbit
        determination tests using onboard GRACE-FO data from days 90 to
        109 of 2023. Based on these analyses, a simplified reduced-
        dynamic orbit determination model for LEO satellites using
        attitude quaternion is proposed. It is found that the phase
        residuals of GRACE-C and GRACE-D under the attitude quaternion
        strategy are reduced by 3.6\% and 3.9\%, respectively, and the
        orbital accuracies of GRACE-C and GRACE-D are improved by 7.3\%
        and 4.5\%, respectively, compared with the nominal attitude.}",
          doi = {10.3390/rs18020373},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2026RemS...18..373L},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

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