Abstract
Earth rotation parameters (ERPs) are susceptible to absorbing the spurious effects from global navigation satellite system constellation characteristics and orbit modeling deficiencies, especially the deficiencies in the solar radiation pressure (SRP) models. This study investigates the impact of SRP modeling on the ERP estimation derived from BeiDou Navigation Satellite System (BDS). The adjusted optical properties are adopted in an a priori box-wing model and jointly used with the extended CODE orbit model (ECOM) for BDS ERP estimation. The BDS-derived ERPs are assessed by comparing them with International Earth Rotation and Reference Systems Service (IERS) 14C04 product. Our processing results of 3 years (2019–2021) show that the mean offsets of BDS-derived ERPs are nearly not affected by the a priori SRP model. However, the standard deviation (STD) is improved by approximately 20% for pole coordinates and their rates when considering an a priori box-wing model together with the ECOM1 (5 parameters). The a priori bow-wing model mitigates most spurious signals in the pole coordinate spectrum. It is noticeable that the BDS-derived ERPs are also affected by the system-specific spurious signals. The visible signals at the 3rd harmonics of draconitic year in the pole coordinates are related to the 3-plane constellations. The signal at the 2nd harmonics of the draconitic year for BDS-derived excess length of day (∆LOD) estimates is significantly larger than that of the GPS-derived. Additionally, the extension of the orbital arc in the BDS processing from 1 to 3 day is beneficial for the ERP quality. When switching to a 3-day arc length, the improvement of the ERP quality is about 28, 15 and 50 for X-pole, Y-pole coordinates and ∆ LOD, respectively. The STD is more than 3 times better than that of 1-day arc solutions for pole coordinate rates. The STD of the 3-day arc length BDS-derived ERPs with respect to the IERS 14C04 product reaches about 40 μas, 100 μas/day, 9 μs for pole coordinates, pole coordinate rates and ∆ LOD, respectively.
Similar content being viewed by others
Data availability
The GNSS data of MGEX are provided by the IGS and can be achieved through https://cddis.nasa.gov.
References
Arnold D, Meindl M, Beutler G, Dach R, Schaer S, Lutz S, Prange L, Sośnica K, Mervart L, Jäggi A (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
Bizouard C, Lambert S, Gattano C, Becker O, Richard J (2019) The IERS EOP 14C04 solution for earth orientation parameters consistent with ITRF 2014. J Geod 93(5):621–633. https://doi.org/10.1007/s00190-018-1186-3
Boehm J, Niell A, Tregoning P, Schuh H (2006) Global mapping function (GMF): a new empirical mapping function based on numerical weather model data. Geophys Res Lett 33(7):L07304. https://doi.org/10.1029/2005GL02554
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
Bury G, Zajdel R, Sośnica K (2019) Accounting for perturbing forces acting on Galileo using a box-wing model. GPS Solutions 23(3):74. https://doi.org/10.1007/s10291-019-0860-0
Bury G, Sośnica K, Zajdel R, Strugarek D (2020) Towards 1-cm galileo orbits-challenges in modeling of perturbing forces. J Geod 96(2):16. https://doi.org/10.1007/s00190-020-01342-2
Dilssner F, Springer T, Enderle W, 2011. GPS IIF yaw attitude control during eclipse season. In: AGU Fall Meeting, San Francisco. http://acc.igs.org/orbits/yaw-IIF_ESOC_agu11.pdf
Dilssner F, Laufer G, Springer T, Schönemann E, Enderle W, 2018. The BeiDou attitude model for continuous yawing MEO and IGSO spacecraft. In: EGU 2018, Vienna. http://navigation-office.esa.int/attachments_29393052_1_EGU2018_Dilssner_Final.pdf.
Duan B, Hugentobler U, Selmke I, Marz S, Killian M, Rott M (2022) BeiDou satellite radiation force models for precise orbit determination and geodetic applications. IEEE Trans Aerosp Electron Syst. https://doi.org/10.1109/TAES.2021.3140018
Griffiths J, Ray J (2013) Sub-daily alias and draconitic errors in the IGS orbits. GPS Solut 17(3):413–422. https://doi.org/10.1007/s10291-012-0289-1
Gross R, Fukumori I, Menementlis D (2003) Atmospheric and oceanic excitation of the earth’s wobbles during 1980–2000. J Geophys Res Solid Earth 108(B8):2370. https://doi.org/10.1029/2002JB002143
Johnston G, Riddell A, Hausler G (2017) The international GNSS service. In: Teunissen PJG, Montenbruck O (eds) Springer handbook of global navigation satellite systems. Springer International Publishing, Berlin, pp 967–982. https://doi.org/10.1007/978-3-319-42928-1
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
Lutz S, Meindl M, Steigenberger P, Beutler G, Sośnica K, Schaer S, Dach R, Arnold D, Thaller D, Jaggi A (2016) Impact of the arc length on GNSS analysis results. J Geod 90(4):365–378. https://doi.org/10.1007/s00190-015-0878-1
Lyard F, Lefevre F, Letellier T, Francis O (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
Montenbruck O 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
Petit G, Luzum B, 2010. IERS Conventions (2010). Frankfurt am Main: Verlag des Bundesamts für Kartographie und Geodäsie, 2010. 179 pp, ISBN 3–89888–989–6
Ray R, Steinberg D, Chao B, Cartwright D (1994) Diurnal and semidiurnal variations in the earth’s rotation rate induced by ocean tides. Science 264:830–832. https://doi.org/10.1126/science.264.5160.830
Rebischung P, Schmid R, 2016. IGS14/igs14.atx: a new framework for the IGS Products. In: American geophysical union fall meeting 2016 San Francisco,USA. https://mediatum.ub.tum.de/doc/1341338/file.pdf
Rodriguez-Solano C, Hugentobler U, Steigenberger P (2012a) Adjustable box-wing model for solar radiation pressure impacting GPS satellites. Adv Space Res 49(7):1113–1128. https://doi.org/10.1016/j.asr.2012.01.016
Rodriguez-Solano C, Hugentobler U, Steigenberger P, Lutz S (2012b) Impact of Earth radiation pressure on GPS position estimates. J Geod 86(5):309–317. https://doi.org/10.1007/s00190-011-0517-4
Rodriguez-Solano C, Hugentobler U, Steigenberger P, Blossfeld M, Fritsche M (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 (1972) Contribution to the theory of atmospheric refraction. B Geod 105(1):279–298. https://doi.org/10.1007/BF02521844
Scaramuzza S, Dach R, Beutler G, Arnold D, Sušnik A, Jäggi A (2018) Dependency of geodynamic parameters on the GNSS constellation. J Geod 92(1):93–104. https://doi.org/10.1007/s00190-017-1047-5
Springer T, Beutler G, Rothacher M (1999) Improving the orbit estimates of GPS satellites. J Geod 73(3):147–157. https://doi.org/10.1007/s001900050230
Steigenberger P, Thoelert S, Montenbruck O (2018) GNSS satellite transmit power and its impact on orbit determination. J Geod 92:609–624. https://doi.org/10.1007/s00190-017-1082-2
Steigenberger P, Thoelert S, 2020. Initial BDS-3 transmit power analysis (with BDS-2 gain pattern). https://files.igs.org/pub/station/general/igs_satellite_metadata.snx
Thaller D, Krügel M, Rothacher M, Tesmer V, Schmid R, Angermann D (2007) Combined Earth orientation parameters based on homogeneous and continuous VLBI and GPS data. J Geod 81(6–8):529–541. https://doi.org/10.1007/s00190-006-0115-z
Tianhe X, Sumei Y, Li J (2014) Earth rotation parameters determination using BDS and GPS data based on MGEX network. In: Sun J, Jiao W, Haitao W, Mingquan L (eds) China satellite navigation conference (CSNC) 2014 proceedings: volume III. Springer, Berlin, Heidelberg, pp 289–299. https://doi.org/10.1007/978-3-642-54740-9_26
Wang C, Guo J, Zhao Q, Ge M (2022) Improving the orbits of the BDS-2 IGSO and MEO satellites with compensating thermal radiation pressure parameters. Remote Sens 14(3):641. https://doi.org/10.3390/rs14030641
Wanninger L, Beer S (2015) BeiDou satellite-induced code pseudorange variations: diagnosis and therapy. GPS Solut 19(4):639–648. https://doi.org/10.1007/s10291-014-0423-3
Yang Y, Mao Y, Sun B, 2020. Basic performance and future developments of BeiDou global navigation satellite system. Satell Navig, 1,1 https://doi.org/10.1186/s43020-019-0006-0
Zajdel R, Sosnica K, Bury G, Dach R, Prange L, 2020. System-specific systematic errors in earth rotation parameters derived from GPS, GLONASS, and Galileo. GPS Solut, 24(3). https://doi.org/10.1007/s10291-020-00989-w
Zajdel R, Sosnica K, Bury G, 2021. Geocenter coordinates derived from multi-GNSS: a look into the role of solar radiation pressure modeling. GPS Solut, 25(1):1 https://doi.org/10.1007/s10291-020-01037-3
Zhao Q, Guo J, Wang C, Lv Y, Xu X, Yang C, Li J, 2022. Precise orbit determination for BDS satellites. Satell Navig, 3, 2 https://doi.org/10.1186/s43020-021-00062-y
Zou X, Li Z, Wang Y, Deng C, Li Y, Tang W, Ruinan F, Cui J, Liu J (2021) Multipath error fusion modeling methods for Multi-GNSS. Remote Sens 13(15):2925. https://doi.org/10.3390/rs13152925
Acknowledgements
Thanks for the data support of IGS and IERS. This study is partially supported by the National Natural Science Foundation of China (41931075, 41904021). The numerical calculations in this paper have been done on the supercomputing system in the Supercomputing Center of Wuhan University.
Funding
National Natural Science Foundation of China, 41904021, Xiaolei Dai, 41931075.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Peng, Y., Lou, Y., Dai, X. et al. Impact of solar radiation pressure models on earth rotation parameters derived from BDS. GPS Solut 26, 126 (2022). https://doi.org/10.1007/s10291-022-01316-1
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10291-022-01316-1