Abstract
During 2016–2018, satellite metadata/information including antenna parameters, attitude laws and physical characteristics such as mass, dimensions and optical properties were released for Galileo and QZSS (except for the QZS-1 optical coefficients). These metadata are critical for improving the accuracy of precise orbit and clock determination. In this contribution, we evaluate the benefits of these new metadata to orbit and clock in three aspects: the phase center offsets and variations (PCO and PCV), the yaw-attitude model and solar radiation pressure (SRP) model. The updating of Galileo PCO and PCV corrections, from the values estimated by Deutsches Zentrum für Luft- und Raumfahrt and Deutsches GeoForschungsZentrum to the chamber calibrations disclosed by new metadata, has only a slight influence on Galileo orbits, with overlap differences within only 1 mm. By modeling the yaw attitude of Galileo satellites and QZS-2 spacecraft (SVN J002) according to new published attitude laws, the residuals of ionosphere-free carrier-phase combinations can be obviously decreased in yaw maneuver seasons. With the new attitude models, the 3D overlap RMS in eclipse seasons can be decreased from 12.3 cm, 14.7 cm, 16.8 cm and 34.7 cm to 11.7 cm, 13.4 cm, 15.8 cm and 32.9 cm for Galileo In-Orbit Validation (IOV), Full Operational Capability (FOC), FOC in elliptical orbits (FOCe) and QZS-2 satellites, respectively. By applying the a priori box-wing SRP model with new satellite dimensions and optical coefficients, the 3D overlap RMS are 5.3 cm, 6.2 cm, 5.3 cm and 16.6 cm for Galileo IOV, FOCe, FOC and QZS-2 satellites, with improvements of 11.0%, 14.7%, 14.0% and 13.8% when compared with the updated Extended CODE Orbit Model (ECOM2). The satellite laser ranging (SLR) validation reveals that the a priori box-wing model has smaller mean biases of − 0.4 cm, − 0.4 cm and 0.6 cm for Galileo FOCe, FOC and QZS-2 satellites, while a slightly larger mean bias of − 1.0 cm is observed for Galileo IOV satellites. Moreover, the SLR residual dependencies of Galileo IOV and FOC satellites on the elongation angle almost vanish when the a priori box-wing SRP model is applied. As for satellite clocks, a visible bump appears in the Modified Allan deviation at integration time of 20,000 s for Galileo Passive Hydrogen Maser with ECOM2, while it almost vanishes when the a priori box-wing SRP model and new metadata are applied. The standard deviations of clock overlap can also be significantly reduced by using new metadata.
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References
Altamimi Z, Rebischung P, Métivier L et al (2016) ITRF2014: a new release of the International Terrestrial Reference Frame modeling nonlinear station motions. J Geophys Res Solid Earth 121(8):6109–6131. https://doi.org/10.1002/2016JB013098
Arnold D, Meindl M, Beutler G et al (2015) CODE’s new solar radiation pressure model for GNSS orbit determination. J Geod 89(8):775–791. https://doi.org/10.1007/s00190-015-0814-4
Bar-Sever Y (1994) New GPS attitude model. In: IGSMAIL-0591. IGS Central Bureau, Pasadena
Bar-Sever Y, Kuang D (2004) New empirically derived solar radiation pressure model for global positioning system satellites. IPN progress report pp 42–159, Nov 15, 2004
Becker M, Zeimetz P, Schönemann E (2010) Anechoic chamber calibrations of phase center variations for new and existing GNSS signals and potential impacts in IGS processing. In: IGS workshop 2010, Newcastle
Beutler G, Brockmann E, Gurtner W et al (1994) Extended orbit modeling techniques at the CODE processing center of the international GPS service for geodynamics(IGS): theory and initial results. Manuscr Geod 19(6):367–386
Boehm J, Niell A, Tregoning P et al (2006) Global Mapping Function (GMF): a new empirical mapping function based on numerical weather model data. Geophys Res Lett. https://doi.org/10.1029/2005gl025546
Boehm J, Heinkelmann R, Schuh H (2007) Short note: a global model of pressure and temperature for geodetic applications. J Geod 81(10):679–683. https://doi.org/10.1007/s00190-007-0135-3
Dach R, Schaer S, Arnold D et al (2016) CODE analysis center technical report 2015. In: Jean Y, Dach R (eds) International GNSS service: technical report 2015, (AIUB), IGS Central Bureau and University of Bern, Bern Open Publishing, pp 25–44, June 2016. https://doi.org/10.7892/boris.80307
de Selding PB (2014) ESA proceeding with Galileo launches despite in-orbit satellite issues. SpaceNews. http://spacenews.com/41616esa-proceeding-with-galileo-launches-despite-in-orbitsatellite-issues. Accessed 10 May 2016
Dell’Agnello SD et al (2010) Creation of the new industry-standard space test of laser retroreflectors for the GNSS and LAGEOS. Adv Space Res 47(5):822–842. https://doi.org/10.1016/j.asr.2010.10.022
Dilssner F (2010) GPS IIF-1 satellite, antenna phase center and attitude modeling. Inside GNSS 5(6):59–64
Dilssner F, Springer T, Gienger G et al (2011) The GLONASS-M satellite yaw-attitude model. Adv Space Res 47(1):160–171. https://doi.org/10.1016/j.asr.2010.09.007
Dow JM, Neilan R, Rizos C (2009) The International GNSS Service in a changing landscape of global navigation satellite systems. J Geod 83(3–4):191–198. https://doi.org/10.1007/s00190-008-0300-3
European GNSS Service Centre (EGSC) (2017) Galileo satellite metadata. https://www.gsc-europa.eu/support-to-developers/galileo-satellite-metadata. Accessed 10 Jan 2018
Fliegel HF, Gallini TE, Swift ER (1992) Global positioning system radiation force model for geodetic applications. J Geophys Res 97(B1):559–568. https://doi.org/10.1029/91JB02564
Folkner WM, Williams JG, Boggs DH (2009) The planetary and lunar ephemeris DE 421. Technical report IPN progress report, pp 42–178. Jet Propulsion Laboratory
Guo J, Chen G, Zhao Q et al (2016) Comparison of solar radiation pressure models for BDS IGSO and MEO satellites with emphasis on improving orbit quality. GPS Solut 21(2):511–522. https://doi.org/10.1007/s10291-016-0540-2
Hauschild A, Steigenberger P, Rodriguez-Solano C (2012) Signal, orbit and attitude analysis of Japan’s first QZSS satellite Michibiki. GPS Solut 16:127–133. https://doi.org/10.1007/s10291-011-0245-5
Ikari S, Ebinuma T, Funase R et al (2013) An evaluation of solar radiation pressure models for QZS-1 precise orbit determination. In: Proceedings of ION GNSS. ION, Nashville, pp 1234–1241
Ishijima Y, Inaba N, Matsumoto A et al (2009) Design and development of the first Quasi-Zenith Satellite attitude and orbit control system. In: 2009 IEEE aerospace conference. IEEE, pp 1–8. https://doi.org/10.1109/aero.2009.4839537
Kogure S (2012) QZSS antenna coordinates; eMail to Montenbruck O, 2012/07/20
Kouba J (2008) A simplified yaw-attitude model for eclipsing GPS satellites. GPS Solut 13(1):1–12. https://doi.org/10.1007/s10291-008-0092-1
Kouba J (2013) Noon turns for deep eclipsing Block IIF GPS satellites, a note prepared for IGS ACs, dated 19 Dec 2013 [IGS-ACS-930 Mail]
Liu J, Ge M (2003) PANDA software and its preliminary result of positioning and orbit determination. Wuhan Univ J Nat Sci 8(2B):603–609. https://doi.org/10.1007/BF02899825
Lyard F, Lefevre F, Letellier T et al (2006) Modelling the global ocean tides: modern insights from FES2004. Ocean Dyn 56(5–6):394–415. https://doi.org/10.1007/s10236-006-0086-x
Meindl M, Beutler G, Thaller D et al (2013) Geocenter coordinates estimated from GNSS data as viewed by perturbation theory. Adv Space Res 51(7):1047–1064. https://doi.org/10.1016/j.asr.2012.10.026
Mendes VB, Pavlis EC (2004) High-accuracy zenith delay prediction at optical wavelengths. Geophys Res Lett. https://doi.org/10.1029/2004gl020308
Montenbruck O, on behalf of the IGS Multi-GNSS Working Group (2017) IGS white paper on satellite and operations information for generation of precise GNSS orbit and clock products. Version 2017/10/21
Montenbruck O, Steigenberger P, Khachikyan R et al (2014) IGS-MGEX: preparing the ground for multi-constellation GNSS science. Inside GNSS 9(1):42–49
Montenbruck O, Schmid R, Mercier F et al (2015a) GNSS satellite geometry and attitude models. Adv Space Res 56:1015–1029. https://doi.org/10.1016/j.asr.2015.06.019
Montenbruck O, Steigenberger P, Hugentobler U (2015b) Enhanced solar radiation pressure modeling for Galileo satellites. J Geod 89(3):283–297. https://doi.org/10.1007/s00190-014-0774-0
Montenbruck O, Steigenberger P, Prange L et al (2017) The multi-GNSS experiment (MGEX) of the international GNSS service (IGS): achievements, prospects and challenges. Adv Space Res 59(7):1671–1697. https://doi.org/10.1016/j.asr.2017.01.011
Pavlis NK, Holmes SA, Kenyon SC et al (2012) The development and evaluation of the earth gravitational model 2008 (EGM2008). J Geophys Res Solid Earth 117:B04406. https://doi.org/10.1029/2011JB008916
Pearlman MR, Degnan JJ, Bosworth JM (2002) The international laser ranging service. Adv Space Res 30(2):135–143. https://doi.org/10.1016/S0273-1177(02)00277-6
Petit G, Luzum B (2010) IERS conventions 2010. No. 36 in IERS technical note, Verlag des Bundesamts für Kartographie und Geodäsie, Frankfurt am Main, Germany
Prange L, Dach R, Lutz S et al (2016) The CODE MGEX orbit and clock solution. In: Rizos C, Willis P (eds), IAG 150 years, international association of geodesy symposia, vol 143. Springer, pp 767–773. https://doi.org/10.1007/1345_2015_161
Prange L, Orliac E, Dach R et al (2017) CODE’s five-system orbit and clock solution: the challenges of multi-GNSS data analysis. J Geod 91(4):345–360. https://doi.org/10.1007/s00190-016-0968-8
Rodríguez-Solano C, Hugentobler U, Steigenberger P et al (2014) Reducing the draconitic errors in GNSS geodetic products. J Geod 88(6):559–574. https://doi.org/10.1007/s00190-014-0704-1
Saastamoinen J (1973) Contributions to the theory of atmospheric refraction. Bull Géod 107(1):13–34. https://doi.org/10.1007/BF02522083
Schmid R, Rothacher M, Thaller D et al (2005) Absolute phase center corrections of satellite and receiver antennas: impact on global GPS solutions and estimation of azimuthal phase center variations of the satellite antenna. GPS Solut 9(4):283–293. https://doi.org/10.1007/s10291-005-0134-x
Schmid R, Steigenberger P, Gendt G et al (2007) Generation of a consistent absolute phase-center correction model for GPS receiver and satellite antennas. J Geod 81(12):781–798. https://doi.org/10.1007/s00190-007-0148-y
Schmid R, Dach R, Collilieux X et al (2015) Absolute IGS antenna phase center model igs08.atx: status and potential improvements. J Geod 90(4):343–364. https://doi.org/10.1007/s00190-015-0876-3
Sośnica K, Prange L, Kaźmierski K et al (2017) Validation of Galileo orbits using SLR with a focus on satellites launched into incorrect orbital planes. J Geod 92(12):131–148. https://doi.org/10.1007/s00190-017-1050-x
Springer TA, Beutler G, Rothacher M (1999) A new solar radiation pressure model for GPS satellites. GPS Solut 3(2):50–62. https://doi.org/10.1007/PL00012757
Steigenberger P, Montenbruck O (2016) Galileo status: orbits, clocks, and positioning. GPS Solut 21(2):319–331. https://doi.org/10.1007/s10291-016-0566-5
Steigenberger P, Dach R, Prange L et al (2015) Galileo satellite antenna modeling. In: Geophys research abstract, vol 17, EGU2015-10772-1
Steigenberger P, Fritsche M, Dach R et al (2016) Estimation of satellite antenna phase center offsets for Galileo. J Geod 90(8):773–785. https://doi.org/10.1007/s00190-016-0909-6
Steigenberger P, Thoelert S, Montenbruck O et al (2017) GNSS satellite transmit power and its impact on orbit determination. J Geod 92(6):609–624. https://doi.org/10.1007/s00190-017-1082-2
The Cabinet Office Government of Japan (2017) QZS-1 satellite information (SPI-QZS1) http://qzss.go.jp/en/technical/qzssinfo/khp0mf0000000wuf-att/spi_qzs1.pdf?t=1528617014169. Accessed 31 May 2018
The Cabinet Office Government of Japan (2018) QZS-2/3/4 satellite information (SPI-QZS2_B/SPI-QZS3_A/SPI-QZS4_B) http://qzss.go.jp/en/technical/qzssinfo/khp0mf0000000wuf-att/spi-qzs2_b.pdf?t = 1528617014170; http://qzss.go.jp/en/technical/qzssinfo/khp0mf0000000wuf-att/spi-qzs3_a.pdf?t=1528682820729; http://qzss.go.jp/en/technical/qzssinfo/khp0mf0000000wuf-att/spi-qzs4_b.pdf?t=1528682820729. Accessed 31 May 2018
Wu J, Wu S, Hajj G et al (1993) Effects on antenna orientation on GPS carrier phase. Manuscr Geod 18(2):91–98
Zhao Q, Chen G, Guo J et al (2017) An a priori solar radiation pressure model for the QZSS Michibiki satellite. J Geod 92(8):1–13. https://doi.org/10.1007/s00190-017-1048-4
Acknowledgements
We are very grateful to the International GNSS Service (IGS) and the International Laser Ranging Service (ILRS) for providing GNSS and SLR observation data. This study is financially supported by the National Natural Science Foundation of China (Grant No. 41774030), the Hubei Province Natural Science Foundation of China (Grant No. 2018CFA081) and the National Youth Thousand Talents Program.
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Li, X., Yuan, Y., Huang, J. et al. Galileo and QZSS precise orbit and clock determination using new satellite metadata. J Geod 93, 1123–1136 (2019). https://doi.org/10.1007/s00190-019-01230-4
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DOI: https://doi.org/10.1007/s00190-019-01230-4