Impact of Earth Radiation Pressure Physical Analytical Model on Satellite Laser Ranging Orbit Determination

Hao Yang

1. Astro-Geodynamics Research Center, Shanghai Astronomical Observatory, Chinese Academy of Sciences,
Shanghai, 200030, China
2. University of Chinese Academy of Sciences, Beijing, 100049, China

Xiaoya Wang

1. Astro-Geodynamics Research Center, Shanghai Astronomical Observatory, Chinese Academy of Sciences,
Shanghai, 200030, China
2. University of Chinese Academy of Sciences, Beijing, 100049, China
3. Shanghai Key Laboratory of Space Navigation and Positioning Techniques, Shanghai, 200030, China

Yabo Li

Astro-Geodynamics Research Center, Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai, 200030, China

DOI: https://doi.org/10.36956/eps.v3i1.967

Received: 24 October 2023; Received in revised form: 27 December 2023; Accepted: 15 January 2024; Published: 28 January 2024

Copyright © 2024 Author(s). Published by Nan Yang Academy of Sciences Pte. Ltd.

Creative Commons LicenseThis is an open access article under the Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) License.


Abstract

SLR (Satellite Laser Ranging) is a kind of important space geodesy technique for the establishment of a Terrestrial Reference Frame (TRF) and determination of EOP (Earth Orientation Parameters). It determines the origin and scale factor of TRF. The accuracy of future TRF is 1 mm. This requires improving the SLR data processing accuracy and importing higher accuracy SLR satellite data. The Earth Radiation Pressure (ERP) is an important perturbation force for SLR satellites. The traditional Earth radiation pressure model for SLR satellites is the simple Cannon Ball model. This paper establishes the Box-Wing physical Earth radiation pressure model for SLR satellites and takes Lageos-1 as an example to evaluate the physical analytical model. The Lageos-1 is divided into two blocks: metal shell and corner reflectors. The area and optical characteristics of each block are analyzed according to the requirements of three kinds of Earth albedo and emissivity models of point source, experience and grid models. The results show that after importing the physical analytical Earth radiation pressure model, the empirical force acceleration in the T direction is significantly reduced and the orbit overlap arc precision is about 3 mm smaller than that of the original model. The orbit prediction results show that the prediction accuracy of the new Earth radiation pressure model has generally improved significantly. The maximum improvement percentage of the physical analytical model is 12%, 16%, 28% and 25% respectively in the prediction arc length of 1 day, 3 days, 5 days and 7 days. The physical grid model performs the best with the increase of prediction arc length.

Keywords: Satellite laser ranging, Earth radiation pressure, Precision orbit determination, Physical analytical model


References

[1] Li, J.S., 1995. Satellite precision orbit determination. PLA Press: Beijing. pp. 117–124. (in Chinese).

[2] Zhao, Q.H., 2017. Research on high precision solar radiation pressure model determination for BeiDou Satellites. Shanghai Astronomical Observatory, Chinese Academy of Sciences: Shanghai. (in Chinese).

[3] Rodriguez-Solano, C.J., Hugentobler, U., Steigenberger, P., 2012. Impact of albedo radiation on GPS satellites. Geodesy for planet earth. Springer: Berlin, Heidelberg. pp. 113–119. DOI: https://doi.org/10.1007/978-3-642-20338-1_14

[4] Fliegel, H.F., Gallini, T.E., Swift, E.R., 1992. Global positioning system radiation force model for geodetic applications. Journal of Geophysical Research: Solid Earth. 97(B1), 559–568. DOI: https://doi.org/10.1029/91JB02564

[5] Rodriguez-Solano, C., Hugentobler, U., Steigenberger, P. (editors), 2011. Earth radiation pressure model for GNSS satellites. EGU General Assembly; Vienna, Austria.

[6] Rodriguez-Solano, C.J., Hugentobler, U., Steigenberger, P., 2012. Adjustable box-wing model for solar radiation pressure impacting GPS satellites. Advances in Space Research. 49(7), 1113–1128. DOI: https://doi.org/10.1016/j.asr.2012.01.016

[7] Rodriguez-Solano, C.J., Hugentobler, U., Steigenberger, P., et al., 2012. Impact of Earth radiation pressure on GPS position estimates. Journal of Geodesy. 86, 309–317. DOI: https://doi.org/10.1007/s00190-011-0517-4

[8] Zhao, Q.H., Wang, X.Y., Hu, X.G., et al., 2018. Research on the earth radiation pressure modelling for Beidou Satellites. Progress in Astronomy. 36(1), 70–82. (in Chinese).

[9] Bloßfeld, M., Rudenko, S., Kehm, A., et al., 2018. Consistent estimation of geodetic parameters from SLR satellite constellation measurements. Journal of Geodesy. 92, 1003–1021. DOI: https://doi.org/10.1007/s00190-018-1166-7

[10] Sosnica, K., Rodriguezsolano, C.J., Thaller, D., et al. (editors), 2013. Impact of Earth radiation pressure on LAGEOS orbits and on the global scale. 18th International Workshop on Laser Ranging; 2013 Nov 11–15; Fujiyoshida, Japan.

[11] Martin, C.F., Rubincam, D.P., 1996. Effects of Earth albedo on the LAGEOS I satellite. Journal of Geophysical Research: Solid Earth. 101(B2), 3215–3226. DOI: https://doi.org/10.1029/95JB02810

[12] Pearlman, M., Arnold, D., Davis, M., et al., 2019. Laser geodetic satellites: A high-accuracy scientific tool. Journal of Geodesy. 93, 2181–2194. DOI: https://doi.org/10.1007/s00190-019-01228-y

[13] Rubincam, D.P., Weiss, N.R., 1986. Earth albedo and the orbit of LAGEOS. Celestial Mechanics. 38, 233–296. DOI: https://doi.org/10.1007/BF01231110

[14] Vokrouhlický, D., 2006. Yarkovsky effect on a body with variable albedo. Astronomy & Astrophysics. 459(1), 275–282. DOI: https://doi.org/10.1051/0004-6361:20065451

[15] Feltens, J., 1988. Several aspects of solar radiation pressure. GPS-techniques applied to geodesy and surveying. Springer: Berlin, Heidelberg. pp. 487–502. DOI: https://doi.org/10.1007/BFb0011361

[16] Wang, C., Guo, J., Zhao, Q., et al., 2018. Empirically derived model of solar radiation pressure for BeiDou GEO satellites. Journal of Geodesy. 93(6), 791–807. (in Chinese).

[17] Shao, F., 2019. Research on high precision SLR and its astronomical and geodetic applications. Shanghai Astronomical Observatory, Chinese Academy of Sciences: Shanghai. (in Chinese).

[18] Zhao, G., Wang, X.Y., Wu, B., 2012. Effect analysis of system-dependent center-of-mass correction on precision of SLR orbit determination. Acta Geodaetica et Cartographica Sinica. 41(2), 165–170. (in Chinese).

[19] Li, Z., Ziebart, M., Grey, S., et al. (editors), 2017. Earth radiation pressure modeling for BDS IGSO satellite. The 8th China Satellite Navigation Academic Conference; 2017 May 23–25; Shanghai, China.

[20] Rodriguez-Solano, C.J., 2009. Impact on albedo modelling on GPS orbits [Master's thesis]. München: Technische Universität München.