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Higher-order ionospheric effects in GPS time and frequency transfer

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Abstract

In high-precision geodetic time and frequency transfer, which requires precise modeling of code and carrier phase GPS data, the ionosphere-free combinations P 3 and L 3 of the codes and carrier phases, made on the two GPS frequencies, are used to remove the first-order ionospheric effect. We quantify the impact of the residual second- and third-order ionospheric effects on geodetic time and frequency transfer solutions for continental and intercontinental baselines. All time transfer computations are done using the ATOMIUM software, developed at the Royal Observatory of Belgium. In order to avoid contamination by some imperfect modeling of the second- and third-order ionospheric effects in the satellite clock products, only single-difference, common-view processing is used, based on code and carrier phase measurements. The results are shown for weak and strong solar activity, as well as for particular epochs of ionospheric storms. Second-order ionospheric delays can lead to corrections up to about 10 ps in the common-view clock solution of intercontinental baselines with very different longitudes. However, realistic values of the geomagnetic field in the ionosphere are required to assess the amplitude of second-order ionospheric effects in time and frequency transfer during an ionospheric storm.

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Acknowledgments

This work has been supported by the Solar and Terrestrial Center of Excellence (STEC, http://www.stce.be/index.php). The authors acknowledge the IGS for their GNSS data and products (ftp://igscb.jpl.nasa.gov/). The authors thank the Solar Influences Data Analysis Center (SIDC, http://www.sidc.be/, hosted by the Royal Observatory of Belgium) for their space weather weekly bulletin products (http://www.sidc.be/products/bul/index.php, bulletins 307 and 314) and for their archives on solar events and related indexes, since those provide great insight on space weather correlations. The authors are also in debt to the Niemegk Observatory (GeoForschungsZentrum, Potsdam, Germany, at http://www.gfz-potsdam.de) for their geomagnetic field data provided around days October 30, 2003, and March 11, 2007, used to illustrate stormy variations of the true geomagnetic field.

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Pireaux, S., Defraigne, P., Wauters, L. et al. Higher-order ionospheric effects in GPS time and frequency transfer. GPS Solut 14, 267–277 (2010). https://doi.org/10.1007/s10291-009-0152-1

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