Publications related to the GRACE Missions (no abstracts)

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Toward GNSS real-time relative orbit determination for satellite formations using adaptively robust factor graph optimization

Hou, Cong, Jin, Xiaojun, Xiao, Tong, Xu, Zhaobin, and Jin, Zhonghe, 2025. Toward GNSS real-time relative orbit determination for satellite formations using adaptively robust factor graph optimization. Advances in Space Research, 76(1):429–442, doi:10.1016/j.asr.2025.04.031.

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BibTeX

@ARTICLE{2025AdSpR..76..429H,
       author = {{Hou}, Cong and {Jin}, Xiaojun and {Xiao}, Tong and {Xu}, Zhaobin and {Jin}, Zhonghe},
        title = "{Toward GNSS real-time relative orbit determination for satellite formations using adaptively robust factor graph optimization}",
      journal = {Advances in Space Research},
     keywords = {Satellite formations, Real-time relative orbit determination, GNSS, Factor Graph Optimization, Sliding window},
         year = 2025,
        month = jul,
       volume = {76},
       number = {1},
        pages = {429-442},
     abstract = "{Satellite formations have been widely applied in scientific missions
        such as Earth gravity field measurements, where real-time
        relative orbit determination (RTROD) plays a critical role in
        ensuring the success of the mission. Factor graph optimization
        (FGO), which addresses nonlinear problems through multiple
        iterations and re-linearization, has recently gained popularity
        due to its flexibility and superior robustness in challenging
        environments such as urban canyons, compared to the Extended
        Kalman Filter (EKF). In this paper, we propose an FGO-based
        RTROD, which is realized by a priori factor constructed by a
        sliding window in combination with Schur complement. We
        introduce the receiver-differenced time-differenced (RDTD)
        carrier phase in FGO to simultaneously eliminate ambiguity
        effects and GNSS satellite orbit and clock errors, which is
        challenging to achieve for EKF-based methods under real-time
        constraints. In this paper, we newly propose an adaptively
        robust FGO (ARFGO) scheme, which uses equivalent weights to
        mitigate the impact of a maximum outlier in the current
        iteration, introduces an adaptive factor based on kinematic
        RTROD solutions and predictions to address relative dynamics
        anomalies, such as unknown satellite maneuvers, accidental
        collisions, and gas leaks. Experimental results based on GRACE-
        FO data show that the proposed FGO-based RTROD achieves higher
        accuracy compared to the basic EKF implementation under the same
        measurement conditions. The runtime of the RDTD carrier phase-
        based FGO is reduced by 73.4 \% compared to the FGO based on the
        receiver-differenced carrier phase, demonstrating significant
        computational efficiency improvements. Furthermore, the proposed
        equivalent weight effectively reduces the FGO error from 4.125
        cm to 3.795 cm. During satellite maneuvers, schemes without the
        adaptive factor exhibit meter-level deviations, while the
        adaptive factor can stabilize the maximum positioning error
        within 2 dm and the overall error to approximately 5 cm.
        Validation from the K-band ranging (KBR) system, a high-
        precision inter-satellite ranging system, demonstrates that the
        along-track direction accuracy of the proposed ARFGO maintains a
        precision of approximately 3 cm even in the presence of
        satellite maneuvers.}",
          doi = {10.1016/j.asr.2025.04.031},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2025AdSpR..76..429H},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

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