Simplified Orbit Determination Algorithm for Low Earth Orbit Satellites Using Spaceborne GPS Navigation Sensor

Open access


In this paper, the main work is focused on designing and simplifying the orbit determination algorithm which will be used for Low Earth Orbit (LEO) navigation. The various data processing algorithms, state estimation algorithms and modeling forces were studied in detail, and simplified algorithm is selected to reduce hardware burden and computational cost. This is done by using raw navigation solution provided by GPS Navigation sensor. A fixed step-size Runge-Kutta 4th order numerical integration method is selected for orbit propagation. Both, the least square and Extended Kalman Filter (EKF) orbit estimation algorithms are developed and the results of the same are compared with each other. EKF algorithm converges faster than least square algorithm. EKF algorithm satisfies the criterions of low computation burden which is required for autonomous orbit determination. Simple static force models also feasible to reduce the hardware burden and computational cost.

If the inline PDF is not rendering correctly, you can download the PDF file here.

  • [1] Amaral J. Kuga H. Souza M. “Real time multisatellite orbit determination for constellation maintenance” Proceedings of COBEM. NAVSTAR GPS user equipment introduction US Government chapter 7 2007.

  • [2] Bock H. Hugentobler U. Springer T and Beutlerl G. "Efficient precise orbit determination of LEO satellites using GPS" Advances in Space Research30(2) pp.295-300 2002.

  • [3] Chiaradia A. Kuga H and Prado A. "Onboard and Real-Time Artificial Satellite Orbit Determination Using GPS" Mathematical Problems in Engineering Hindawi Publishing Corporation 2013.

  • [4] Choi E. Yoon J. Lee B. Park S. Choi K."Onboard orbit determination using GPS observations based on the unscented Kalman filter"Advances in Space Research 46pp. 1440-1450 2010 [5] Degnan J. and Pavlis “Laser Ranging to GPS Satellites with Centimeter Accuracy” E.C.(1994): GPS World pp. 62-70 September 1994.

  • [6] Gomes V. Kuga H. Chiaradia A. “Real-Time orbit determination solution using GPS Navigation Solution” J. Braz. Soc. Mech. Sci. & Eng. 29(3) pp. 274-278 2007.

  • [7] Grewal M. Weill L. Andrews A. “Global Positioning System Inertial Navigation and Integration” A John Wiley and Sons Inc Publication 37 2007.

  • [8] Pardal P. Kuga H and deMoraes R. “Implications of the application of recursive least squares algorithms to satellite orbit determination using GPSmeasurements”WSEAS Transactions on Systems vol. 8 no. 3 pp. 334-343 2009.

  • [9] Parkinson B. Spilker J. “Global Positioning System: theory and Applications” AIAA Vol.1 Progress in Astronautics and Aeronautica 163 1996.

  • [10] Taply B. Schutz B. and Born G “Statistical orbit determination” Elsevier Academic Press USA 2004.

  • [11] Vallado D. McClain W. “Fundamentals of astrodynamics and applications” 3rd ed. Microcosm press Ca2007.

  • [12] Xu G. “GPS Theory Algorithm and Applications” 2nd Edition Springer 2007.

  • [13] Yunck T. Bertiger W. Wu S. Bar-Sever Y. Christiansen E. Haines B. Lichten S. Muellerschoen R. and Willis P. “First Assessment of GPS-Based Reduced Dynamic Orbit Determination on TOPEX/Poseidon” Geophys. Res. Let. V.21 pp. 541-544 1994.

  • [14] Zarchan P. “ Fundamentals of Kalman Filtering: A Practical Approach” 2nd Edition by AIAA 2005.

Journal information
Impact Factor

CiteScore 2018: 0.61

SCImago Journal Rank (SJR) 2018: 0.211
Source Normalized Impact per Paper (SNIP) 2018: 0.728

Cited By
All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 435 266 5
PDF Downloads 293 246 27