Abstract
A two-way adaptive Kalman filter is proposed by combining a two-way filter with an adaptive filter for orbit determination of a maneuvered GEO satellite. A method of using Newton’s high-resolution differential formula and polynomial fitting for modeling the thrust force of a maneuvered GEO satellite is developed. The adaptive factor, which balances the contributions of the measurements and the dynamic model information, is determined by using a two-segment function and predicted residual statistics. Simulations with a maneuvered GEO satellite tracked by the Chinese ground tracking network were conducted to verify the performance of the proposed orbit determination technique and the method of thrust force modeling. The results show that refining the thrust force model is beneficial for the orbit determination of a maneuvered GEO satellite; the two-way adaptive Kalman filter can efficiently control the influence of the dynamic model errors on the orbit state estimate.
Similar content being viewed by others
References
Carolipio E, Pandya N. GEO orbit determination via covariance analysis with a known clock error. ION GPS 2001, Salt Lake City, UT, 2001. 2360–2365
Grewal M. Comparison of GEO and GPS orbit determination. ION GPS 2002, Portland, OR, 2002. 790–799
Guo R, Hu X G, Tang B, et al. Precise orbit determination for geostationary satellites with multiple tracking techniques. Chin Sci Bull, 2010, 55(8): 687–692
He K F, Xu T H. Kinematic orbit determination of GEO satellite based on Kalman filtering. J Geod Geodyn, 2009, 29(6): 109–114
Huang Y, Hu X G, Huang C, et al. Precise orbit determination of a maneuvered GEO satellite using CAPS ranging data. Sci China Ser G-Phys Mech Astron, 2009, 52(6): 346–352
Yang Y X, Wen Y L. Synthetically adaptive robust filtering for satellite orbit determination. Sci China Ser D-Earth Sci, 2004, 47(7): 585–592
Su H. Precise Orbit Determination of Global Navigation Satellite System of Second Generation (GNSS-2)-Orbit Determination of IGSO, GEO and MEO Satellites. Dissertation for the Doctoral Degree. Munich: University of Bundswehr, 2000
Yang Y X, He H B, Xu G C. Adaptively robust filtering for kinematic geodetic positioning. J Geod, 2001, 75(2): 109–116
Yang Y X, Gao W G. Influence comparison of adaptive factors on navigation results. J Navigation, 2005, 58(3): 471–478
Xu T H, Yang Y X. An improved sage adaptive filtering. Sci Surveying Mapping, 2000, 25(3): 22–25
Yang Y X, Gao W G. A new learning statistic for adaptive filter based on predicted residuals. Prog Nat Sci, 2006, 16(8): 833–837
Montenbruck O, Gill E. Satellite Orbits: Models, Methods and Applications. Heidelberg: Springer, 2000
Qiao L, Samsung L, Chris R, et al. A multiple GNSS-based orbit determination algorithm for geostationary satellites. IGNSS Symposium 2009, Australia, 1–3 December, 2009
Yang Y X, Xu T H. An adaptive Kalman filter based on Sage windowing weights and variance components. J Navigation, 2003, 56(2): 231–240
Reubelt T, Austen G, Grafarend E W. Harmonic analysis of the Earth’s gravitational field by means of semi-continuous ephemeredes of a low Earth orbiting GPS-tracked satellite. Case study: CHAMP. J Geod, 2003, 77(3): 257–278
Xu T H. An applied numerical differential formula to calculate the velocity and acceleration of the satellite. J Xi’an Res Inst Surveying Mapping, 2003, 22(3): 1–4
Xu T H, Yang Y X. Recovering the gravitational potential model from the Ephemerides and accelermeter of CHAMP. Acta Geod Cartogr Sin, 2004, 33(2): 95–99
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Xu, T., He, K. & Xu, G. Orbit determination and thrust force modeling for a maneuvered GEO satellite using two-way adaptive Kalman filtering. Sci. China Phys. Mech. Astron. 55, 738–743 (2012). https://doi.org/10.1007/s11433-012-4670-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11433-012-4670-4