Abstract
Atmospheric drag is the main source of error in the determination and prediction of the orbit of low Earth orbit (LEO) satellites; however, empirical models that are used to account for this often have density errors of around 15%–30%. Atmospheric density determination has thus become an important topic for researchers. Based on the relationship between the atmospheric drag force and the decay of the semi-major axis of the orbit, we derived atmospheric density along the trajectory of challenging mini-satellite payload (CHAMP) satellite with its rapid science orbit (RSO) data. Three primary parameters—the ratio of cross-sectional area to mass, the drag coefficient, and the decay of the semi-major axis caused by atmospheric drag—were calculated. We also analyse the source of the error and made a comparison between the GPS-derived and reference density. The result for December 2, 2008, showed that the mean error of the GPS-derived density could be decreased from 29.21% to 9.20%, if the time span adopted for the process of computation was increased from 10 min to 50 min. The result for the entire month of December indicated that a density precision of 10% could be achieved, when the time span meets the condition that the amplitude of the decay of the semi-major axis is much greater than its standard deviation.
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References
Jacchia L. New Static Models of the Thermosphere and Exosphere with Empirical Temperature Profiles. SAO Special Report #313, 1970
Hedin A E. MSIS-86 thermospheric model. J Geophys Res, 1987, 92: 4649–4662
Picone J M, Hedin A E, Drob D P, et al. NRLMSISE-00 empirical model of the atmosphere: Statistical comparisons and scientific issues. J Geophys Res, 2002, 107: SIA 15–1–SIA 15–16
Bowman B R, Kent Tobiska W, Marcos F A, et al. The JB2006 empirical thermospheric density model. J Atmos Sol-Terrestrial Phys, 2008, 70: 774–793
Storz M F, Bowman B R, Branson M J I, et al. High accuracy satellite drag model (HASDM). Adv Space Res, 2005, 36: 2497–2505
King-Hele D G. Methods of determining air density from satellite orbits. Ann Geophys, 1966, 22: 40–52
King-Hele D G. Satellite Orbits in an Atmosphere: Theory and Application. London: Blackie, 1987
Bowman B R, Marcos F A, Kendra M J. A method for computing accurate daily atmospheric density values from satellite drag data. In: Space Flight Mechanics Meeting. Maui, 2004
Hoots F R, Roehrich R L. Models for Propagation of NORAD Element Sets. Spacetrack Report 3, Alexandria, 1988
Picone J M, Emmert J T, Lean J L. Thermospheric densities derived from spacecraft orbits: Accurate processing of two-line element sets. J Geophys Res, 2005, 110: A03301
Lean J L, Picone J M, Emmert J T, et al. Thermospheric densities derived from spacecraft orbits: Application to the Starshine satellites. J Geophys Res, 2006, 111: A04301
Cefola P J, Proulx R J, Nazarenko A I, et al. Atmospheric density correction using two line element sets as the observation data. Adv Astronaut Sci, 2003, 116: 1953–1978
Doornbos E, Klinkrad H, Visser P. Use of two-line element data for thermosphere neutral density model calibration. Adv Space Res, 2008, 41: 1115–1122
Keating G M, Tolson R H, Bradford M S. Evidence of long term global decline in the Earth’s thermospheric densities apparently related to anthropogenic effects. Geophys Res Lett, 2000, 27: 1523–1526
Emmert J T, Picone J M, Lean J L, et al. Global change in the thermosphere: Compelling evidence of a secular decrease in density. J Geophys Res, 2004, 109: A02301
Emmert J T, Picone J M, Meier R R. Thermospheric global average density trends, 1967–2007, derived from orbits of 5000 near-Earth objects. Geophys Res Lett, 2008, 35: L05101
Vallado D A. Fundamentals of Astrodynamics and Applications. New York: Spring, 2007
Cook G E. Satellite drag coefficients. Planet Space Sci, 1965, 13: 929–946
Moe M M, Wallace S D, Moe K. Recommended drag coefficients for aeronomic satellites. Geophys Monogr Ser, 1995, 87: 349–356
Bowman B R. True satellite ballistic coefficient determination for HASDM. In: AIAA/AAS Astrodynamics Specialist Conference and Exhibit. Monterey, 2002, 774–793
Emmert J T, Meier R R, Picone J M, et al. Thermospheric density 2002–2004: TIMED/GUVI dayside limb observations and satellite drag. J Geophys Res, 2006, 111: A10S16
Maley P D, Moore R G, King D J. Starshine: A student tracked atmospheric research satellite deployed from the space shuttle, IAF-99-P.1.01. In: Proceeding of the 50th International Astronautical Federation Congress. Amsterdam, 1999
Bowman B R, Moe K. Drag coefficient variability at 175–500 km from the orbit decay analysis of spheres, AAS 2005–257. In: AAS/AIAA Astrodynamics Specialist Conference. Lake Tahoe, 2005
Ren T, Miao J, Liu S, et al. Research on thermospheric densities derived from two-line element sets (in Chinese). Chin J Space Sci, 2014, 34: 426–433
Bettadpur S. GRACE Product Specification Document, Rev 4.2. Technical Report. Austin: Centre for Space Research, The University of Texas at Austin, 2004
Sang J, Bennett J C, Smith C H. Estimation of ballistic coefficients of low altitude debris objects from historical two line elements. Adv Space Res, 2013, 52: 117–124
Sang J, Smith C, Zhang K. Towards accurate atmospheric mass density determination using precise positional information of space objects. Adv Space Res, 2012, 49: 1088–1096
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Ren, T., Miao, J. & Liu, S. Atmospheric density determination using high-accuracy satellite GPS data. Sci. China Technol. Sci. 61, 204–211 (2018). https://doi.org/10.1007/s11431-016-9096-6
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DOI: https://doi.org/10.1007/s11431-016-9096-6