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Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 267875, 16 pages
Analysis of Filtering Methods for Satellite Autonomous Orbit Determination Using Celestial and Geomagnetic Measurement
1School of Instrumentation Science & Opto-electronics Engineering, Bei Hang University (BUAA), Beijing 100191, China
2Science and Technology on Inertial Laboratory, Beijing 100191, China
3Fundamental Science on Novel Inertial Instrument & Navigation System Technology Laboratory, Beijing 100191, China
Received 15 July 2011; Revised 30 September 2011; Accepted 5 October 2011
Academic Editor: Silvia Maria Giuliatti Winter
Copyright © 2012 Xiaolin Ning et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
- D.-J. Lee and K.T. Alfriend, “Precise real-time satellite orbit estimation using the unscented kalman filter,” AAS/AIAA Space Flight Mechanics Symposium AAS 03-230, pp. 853–1872, Advances in the Astronautical Sciences, Ponce, Puerto Rico, 2003.
- P. C. P. M. Pardal, H. K. Kuga, and R. V. de Moraes, “Recursive least squares algorithms applied to satellite orbit determination, using GPS signals,” in Proceedings of the 8th International Conference on Signal Processing, Robotics and Automation, pp. 167–172, World Scientific and Engineering Academy and Society, Cambridge, UK, 2009.
- O. Montenbruck and P. Ramos-Bosch, “Precision real-time navigation of LEO satellites using global positioning system measurements,” GPS Solutions, vol. 12, no. 3, pp. 187–198, 2008.
- B. Maurizio, L. J. John, S. J. Peter, and T. Denver, “Advanced stellar compass: onboard autonomous orbit determination, preliminary performance,” Annals of the New York Academy of Sciences, vol. 1017, pp. 393–407, 2004.
- D.-J. Lee and K. T. Alfriend, “Sigma point filters for efficient orbit estimation,” in Proceedings of the AAS/AIAA Astrodynamics Conference, vol. 116, pp. 349–372, Advances in the Astronautical Sciences, Big Sky, Mont, USA, August 2003.
- P. C. P. M. Pardal, H. K. Kuga, and R. V. de Moraes, “Nonlinear sigma point Kalman filter applied to orbit determination using GPS measurement,” in Proceedings of the 22nd International Meeting of the Satellite Division of The Institude of Navigation, Savannah, Ga, USA, September 2009.
- D.-J. Lee and T. A. Kyle, “Adaptive sigma point filtering for state and parameter estimation,” in Proceedings of the AIAA/AAS Astrodynamics Specialist Conference and Exhibit, Providence, Rhode Island, USA, August 2004.
- S. J. Julier and J. K. Uhlmann, “A new extension of the Kalman filter to nonlinear systems,” in Proceedings of the International Society for Optical Engineering (SPIE '97), vol. 3, no. 1, pp. 182–193, April 1997.
- S. Julier, J. Uhlmann, and H. F. Durrant-Whyte, “A new method for the nonlinear transformation of means and covariances in filters and estimators,” Institute of Electrical and Electronics Engineers. Transactions on Automatic Control, vol. 45, no. 3, pp. 477–482, 2000.
- M. S. Arulampalam, S. Maskell, N. Gordon, and T. Clapp, “A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking,” IEEE Transactions on Signal Processing, vol. 50, no. 2, pp. 174–188, 2002.
- D. Watzenig, M. Brandner, and G. Steiner, “A particle filter approach for tomographic imaging based on different state-space representations,” Measurement Science and Technology, vol. 18, no. 1, pp. 30–40, 2007.
- R. van der Merwe, A. Doucet, N. de Freitas, and E. Wan, “The unscented particle filter,” Tech. Rep. CUED/F-INFENG/TR 380, Cambridge University Engineering Department, Cambridge, UK, 2000.
- O. Payne and A. Marrs, “An unscented particle filter for GMTI tracking,” in Proceedings of the IEEE Aerospace Conference, vol. 3, pp. 1869–1875, March 2004.
- M. L. Psiaki, L. Huang, and S. M. Fox, “Ground tests of magnetometer-based autonomous navigation (MAGNAV) for low-earth-orbiting spacecraft,” Journal of Guidance, Control, and Dynamics, vol. 16, no. 1, pp. 206–214, 1993.
- H. Jung and M. L. Psiaki, “Tests of magnetometer-sun-sensor orbit determination using flight data,” in Proceedings of the AIAA Guidance, Navigation, and Control Conference and Exhibit, Montreal, Canada, August 2001.
- C. J. Gramling and A. C. Long, “Autonomous navigation using the TDRSS Onboard Navigation System (TONS),” Advances in Space Research, vol. 16, no. 12, pp. 77–80, 1995.
- A. C. Long, D. Leung, D. Folta, and C. Gramling, “Autonomous navigation of high-earth satellites using celestial objects and Doppler measurements,” in Proceedings of the AIAA/AAS Astrodynamics Specialist Conference, Denver, Colo, USA, August 2000.
- G. M. Levine, “A method of orbital navigation using optical sightings to unknown landmarks,” AIAA Journal, vol. 4, no. 11, pp. 1928–1931, 1966.
- W. L. Brogan and J. L. Lemay, “Orbit navigation with known landmark tracking,” in Proceedings of the Joint Automatic Control Conference of American Automatic Control Council, Institute of Electrical and Electronics Engineers, New York, NY, USA, 1968.
- S. I. Sheikh, The use of variable celestial X-Ray sources for spacecraft navigation, Ph.D. thesis, University of Maryland, College Park, Maryland, 2005.
- A. A. Emadzadeh and J. E. Speyer, Navigation in Space by X-Ray Pulsar, Springer, New York, NY, USA, 2011.
- G. Welch and G. Bishop, “An introduction to the Kalman filter,” Tech. Rep. TR95-041, University of North Carolina, Chapel Hill, NC, USA, 1995.
- E. A. Wan and R. van der Merwe, “The unscented Kalman filter for nonlinear estimation,” in Proceedings of the IEEE Adaptive Systems for Signal Processing, Communications, and Control Symposium, pp. 153–158, 2000.
- S. J. Julier and J. K. Uhlmann, “A general method for approximating nonlinear transformations of probability distributions,” Tech. Rep. RRG, Department of Engineering Science, University of Oxford, 1996.
- D. A. Vallado, Fundamentals of Astrodynamics and Applications, Springer, New York, NY, USA, 3rd edition, 2007.
- R. H. Battin, An Introduction to the Mathematics and Methods of Astrodynamics, American Institute Aeronautics and Astronautics, New York, NY, USA, 1999.
- X. L. Ning and J. C. Fang, “An autonomous celestial navigation method for LEO satellite based on unscented Kalman filter and information fusion,” Aerospace Science and Technology, vol. 11, no. 2-3, pp. 222–228, 2007.
- I. A. O. Geomagnetism, W. G. V. P. Aeronomy, C. C. Finlay, et al., “International Geomagnetic Reference Field: the eleventh generation,” Geophysical Journal International, vol. 183, no. 3, pp. 1216–1230, 2010.
- S. Mclean, S. Macmillan, and S. Maus, “The US/UK World Magnetic Model for 2005–2010,” Tech. Rep. NESDIS/NGDC-2, NOAA, 2005.
- Satellite Tools Kit Suite Version 8.1.1 Help System, Analytical Graphics, New York, NY, USA, 2007.
- The Hipparcos and Tycho Catalogues (ESA SP-1200) ESA, Noordwijk, The Netherlands, 1997.
- M. N. Filipski and E. J. Abdullah, “Nanosatellite navigation with the WMM2005 geomagnetic field model,” Turkish Journal of Engineering and Environmental Sciences, vol. 30, no. 1, pp. 43–55, 2006.
- S. P. Mertikas, “Error distributions and accuracy measures in navigation: an overview,” Tech. Rep. 113, 1985.