Publications related to the GRACE Missions (no abstracts)

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Ionospheric reconstruction from LEO–GNSS, LEO–PNT, and ground–GNSS using an information–filter

Schreiter, Lucas, Brack, Andreas, Männel, Benjamin, and Schuh, Harald, 2026. Ionospheric reconstruction from LEO–GNSS, LEO–PNT, and ground–GNSS using an information–filter. Advances in Space Research, 77(6):7240–7256, doi:10.1016/j.asr.2026.01.078.

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@ARTICLE{2026AdSpR..77.7240S,
       author = {{Schreiter}, Lucas and {Brack}, Andreas and {M{\"a}nnel}, Benjamin and {Schuh}, Harald},
        title = "{Ionospheric reconstruction from LEO-GNSS, LEO-PNT, and ground-GNSS using an information-filter}",
      journal = {Advances in Space Research},
     keywords = {Ionosphere reconstruction, LEO-PNT, Kalman-Filter},
         year = 2026,
        month = mar,
       volume = {77},
       number = {6},
        pages = {7240-7256},
     abstract = "{This paper presents a theoretical study on ionospheric reconstruction
        using GNSS data obtained from Low Earth Orbit (LEO) satellites
        in a PNT (Position, Navigation, and Timing) configuration, where
        the LEO satellites not only receive but also transmit GNSS
        signals, which can be tracked by ground or mobile receivers. The
        study is intended to pave the way for incorporating slant Total
        Electron Content (TEC) data from ESA's upcoming LEO-PNT into
        ionospheric reconstructions. We generate synthetic slant TEC for
        three observation scenarios: Ground-GNSS, ground-LEO, and LEO-
        GNSS links. As ground-truth, the IRI-20 model with the Ozhogin
        plasmasphere extension is used. An inversion to recover the
        electron density from slant TEC observations is performed using
        an Extended Kalman Filter (EKF) in the information-filter
        formulation for all possible combinations of observation
        scenarios. As the LEO constellation, we will utilize existing
        LEO satellites that were available in May 2020, including Swarm,
        COSMIC-2, GRACE-FO, Jason-3, Sentinel-1, Sentinel-2, and
        Sentinel-3, as well as several Spire satellites. They cover a
        variety of altitudes between 400 km and 1350 km. For this study,
        we assume they could transmit dual-frequency GNSS-like signals
        like a PNT mission, which is not the case for any of the
        satellites mentioned. We only consider relative slant TEC to be
        insensitive to calibration biases that may reach a few TEC
        units. Given a real global ground-station network, LEO and GNSS
        satellites, we show that 15-min reconstruction solutions, only
        containing ground stations, cannot compete with solutions
        including LEO satellites. Furthermore, our results show that the
        joint use of LEO-POD (Precise Orbit Determination Antenna) and
        LEO-PNT (RMSE at 500 km: <mml:math><mml:mrow><mml:mn>0.95</mml:m
        n><mml:mo>{\texttimes}</mml:mo><mml:msup><mml:mrow><mml:mn>10</m
        ml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:mn>4</mml:mn><
        /mml:mrow></mml:msup><mml:mspace></mml:mspace><mml:msup><mml:mro
        w><mml:mtext>cm</mml:mtext></mml:mrow><mml:mrow><mml:mo>-</mml:m
        o><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>
        ) provides superior performance compared to configurations where
        either is substituted by ground-based GNSS (ground-GNSS and PNT:
        <mml:math><mml:mrow><mml:mn>4.03</mml:mn><mml:mo>{\texttimes}</m
        ml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mro
        w><mml:mo>-</mml:mo><mml:mn>4</mml:mn></mml:mrow></mml:msup><mml
        :mspace></mml:mspace><mml:msup><mml:mrow><mml:mtext>cm</mml:mtex
        t></mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:mn>3</mml:mn></mml
        :mrow></mml:msup></mml:mrow></mml:math>; Gound-GNSS and POD <mml
        :math><mml:mrow><mml:mn>1.18</mml:mn><mml:mo>{\texttimes}</mml:m
        o><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><m
        ml:mo>-</mml:mo><mml:mn>4</mml:mn></mml:mrow></mml:msup><mml:msp
        ace></mml:mspace><mml:msup><mml:mrow><mml:mtext>cm</mml:mtext></
        mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:mn>3</mml:mn></mml:mro
        w></mml:msup></mml:mrow></mml:math>). We also show that the
        reconstruction error roughly doubles when radio occultation
        measurements are omitted. The dependency of the error on the
        distribution of the ground stations is also shown. Areas with
        only a few or no ground stations show the lowest correlation
        between IRI-20 and the reconstructions, e.g., near Point Nemo,
        where the correlation drops to 0.5.}",
          doi = {10.1016/j.asr.2026.01.078},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2026AdSpR..77.7240S},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

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