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SRIF–based integrated precise orbit determination for GPS and LEO constellations: impact analysis of ground–station and LEO configurations

Fan, Lei, Huo, Chenshu, Guo, Shiwei, Fang, Xinqi, Wang, Xuanran, and Shi, Chuang, 2026. SRIF–based integrated precise orbit determination for GPS and LEO constellations: impact analysis of ground–station and LEO configurations. Measurement Science and Technology, 37(3):036304, doi:10.1088/1361-6501/ae319e.

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BibTeX

@ARTICLE{2026MeScT..37c6304F,
       author = {{Fan}, Lei and {Huo}, Chenshu and {Guo}, Shiwei and {Fang}, Xinqi and {Wang}, Xuanran and {Shi}, Chuang},
        title = "{SRIF-based integrated precise orbit determination for GPS and LEO constellations: impact analysis of ground-station and LEO configurations}",
      journal = {Measurement Science and Technology},
     keywords = {LEO, GPS, SRIF, precise orbit determination, convergence time},
         year = 2026,
        month = jan,
       volume = {37},
       number = {3},
          eid = {036304},
        pages = {036304},
     abstract = "{High-precision real-time satellite orbit products are prerequisite for
        achieving high-performance navigation and positioning services.
        This study develops an integrated precise orbit determination
        approach that combines GPS and low Earth orbit (LEO) satellites
        using the square root information filtering algorithm to improve
        the convergence time and accuracy of GPS real-time satellite
        orbits. By collecting data from varying numbers of global ground
        stations and LEO satellites (Sentinel-3A/B, GRACE-C/D,
        Swarm-A/B/C), GPS and LEO satellite orbits were determined
        synchronously. Orbit convergence time and accuracy were
        evaluated against the official reference products. Results show
        that, with 9 ground stations, adding 7 LEO satellites decreases
        the GPS orbit convergence time in the along-track, cross-track,
        and radial directions from 28.0, 28.3, and 21.8 h to 1.9, 3.9,
        and 14.3 h, respectively, achieving remarkable improvements of
        93\%, 86\%, and 34\%. Increasing the number of ground stations
        to 79 further reduces the convergence time to 0.7, 1.4, and 10.9
        h in the three directions. For LEO satellites, increasing ground
        stations from 9 to 79 decreases the average convergence time
        across all three directions by 44\%─70\%. In terms of GPS orbit
        accuracy after convergence, the configuration of 7 LEO
        satellites with 9 ground stations reaches accuracies of 6.5,
        3.8, and 3.0 cm in the along-track, cross-track, and radial
        directions, which is improved by 64\%, 66\%, and 48\%,
        respectively, compared to the results without LEO satellites.
        When 79 ground stations are used, the GPS orbit accuracy is
        further improved to 5.0, 2.5, and 2.6 cm in the three
        directions. Notably, the three-dimensional GPS orbit accuracy
        reaches 6.8 cm with 19 ground stations and 7 LEO satellites,
        which outperforms the accuracy level of 7.4 cm obtained
        utilizing only 79 ground stations. These results indicate that
        the optimal deployment of LEO satellites can effectively
        compensate for ground network limitations while maintaining
        high-precision real-time orbit determination.}",
          doi = {10.1088/1361-6501/ae319e},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2026MeScT..37c6304F},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

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