Have a personal or library account? Click to login
A Comparison Between Numerical Differentiation and Kalman Filtering for a Leo Satellite Velocity Determination Cover

A Comparison Between Numerical Differentiation and Kalman Filtering for a Leo Satellite Velocity Determination

By: M.A. Sharifi,  M.R. Seif and  M.A. Hadi  
Open Access
|Aug 2013

References

  1. [1] L. Richard, J. Burden, F. Douglas, Numerical Analysis (7th Ed), Brooks, Cole, 2000.
  2. [2] T. Reubelt, G. Asusten, E.W. Grafarend, Harmonic analysis of the Earth’s gravitational field by means of semi-continuous ephemerides of a low Earth orbiting GPS-tracked satellite. Case study: CHAMP. J Geod 77 (2003) (5-6):257-278. DOI : 10.1007/s00190-003-0322-9
  3. [3] L. Foldvary, D. Svehla, Ch. Gerlach, M. Wermuth, Th Gruber, R. Rummel, M. Rothacher, B. Frommknecht, Th. Peters, P. Steigenberger, Gravity model TUM-2sp based on the energy balance approach and kinematic CHAMP orbits, Earth Observation with CHAMP - Results from Three Years in Orbit (Ed. Reigber Ch, Lühr H, Schwintzer P et al.), Springer, Berlin, 13-18, 2004.10.1007/3-540-26800-6_2
  4. [5] P.S. Maybeck, Stochastic Models, Estimation, and Control. Volume 1, Academic Press, Inc, 1979.
  5. [4] M. Hanke, O. Scherzer, Inverse problems light: numerical differentiation. Amer. Math. Monthly, 108 (2001) 512-5211.10.1080/00029890.2001.11919778
  6. [6] A. Gelb, Applied Optimal Estimation. MIT Press, Cambridge, MA, 1974.
  7. [7] R.G. Brown, P.Y.C Hwang, Introduction to Random Signals and Applied Kalman Filtering: With MATLAB Exercises and Solutions, 3rd ed., Wiley, New York, 1997.
  8. [8] L. Foldavary, Analysis of Numerical Differentiation methods Applied for Determination of Kinematic Velocities for LEOs, Per. Pol. Civil Eng., 51/1 17-24, 2007.10.3311/pp.ci.2007-1.03
  9. [9] W.H. Press, B.P. Flannery, S.A. Teukolsky, W.T. Vetterling, Numerical Recipes in FORTRAN. The Art of Scientific Computing, 2nd ed, Cambridge University Press, Cambridge, 1992.
  10. [10] R.E. Kalman, A new approach to linear filtering and prediction problems. Transactions of the ASME, Ser. D, Journal of Basic Engineering, 82 (1960) 34-45.
  11. [11] D.A. Vallado, Fundamentals of Astrodynamics and Applications. Third Edition. Published Jointly By Microcosm and Springer, New York, 2007.
  12. [12] B.D. Tapley, B.E. Schutz, G.H. Born, Statistical Orbit Determination. Elsevier Academic Press, New York, 200410.1016/B978-012683630-1/50020-5
  13. [13] F.G. Lemoine, et al., The development of the joint NASA GSFC and the National Imagery Mapping Agency (NIMA) geopotential model EGM96. NASA Technical Report NASA/TP-1998-206861, Goddard Space Flight Center, Greenbelt, Maryland, 1998.
  14. [14] M. Chapront-Touze, J. Chapront, The lunar ephemeris ELP 2000, Astronomy and Astrophysics, 190 (1988) 342-352.
  15. [15] O. Montenbruck, Practical Ephemeris Calculations, Springer Verlag, Heidelberg, 1989.
  16. [16] J.M. Picone, A.E. Hedin, D.P. Drob, A.C. Aikin, NRLMSISE-00 empirical model of the atmosphere: Statistical comparisons and scientific issues. J. Geophys. Res., 107 (2002). doi:10.1029/2002JA009430, 2002.10.1029/2002JA009430
  17. [17] O. Montenbruck, E. Gill, Satellite orbits-models, methods, and applications. Springer, Berlin, 2000.10.1007/978-3-642-58351-3
  18. [18] D.D. McCarthy, G. Petit, IERS Conventions, IERS Tech. Note, vol. 32. Verlag des Bundesamts fur Kartogr. und Geod., Frankfurt am Main, Germany, 2004. Available at: http://www.iers.org/iers/publications/tn/tn32
  19. [19] Z. Kang, B. Tapley, S. Bettadpur, J. Ries, P. Nagel, R. Pastor, Precise orbit determination for the GRACE mission using only GPS data, J. Geod 80 (2006)322-331.10.1007/s00190-006-0073-5
  20. [20] K. Case, G. Kruizinga, S. Wu, GRACE level 1B Data Product User Handbook Version 1.2, 2004.
DOI: https://doi.org/10.2478/arsa-2013-0009 | Journal eISSN: 2083-6104 | Journal ISSN: 1509-3859
Language: English
Page range: 103 - 110
Published on: Aug 13, 2013
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2013 M.A. Sharifi, M.R. Seif, M.A. Hadi, published by Polish Academy of Sciences, Space Research Centre
This work is licensed under the Creative Commons License.