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Assessment of Several Interpolation Methods for Precise GPS Orbit

Published online by Cambridge University Press:  09 August 2007

Hamad Yousif  and
Ahmed El-Rabbany
Hamad Yousif
Affiliation:
(Ryerson University, Toronto)
Ahmed El-Rabbany*
Affiliation:
(Ryerson University, Toronto)
*
(Email: rabbany@ryerson.ca)
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Abstract

GPS applications such as Precise Point Positioning (PPP) require the availability of precise ephemeris at high rate. To support these applications, several institutions such as the International GNSS Service (IGS) have developed precise orbital service. Unfortunately, however, the data rate of such precise orbits is usually limited to 15 minutes. To overcome this problem, a number of orbital interpolation methods are proposed. This paper examines the performance of four interpolation methods for IGS precise GPS orbits, namely Lagrange, Newton Divided Difference, Cubic Spline and Trigonometric interpolation. In addition, the paper discusses a new approach, which utilizes the residuals between the broadcast and precise ephemeris to generate a high density precise ephemeris. It is shown that the new approach produces better results than previously reported orbital interpolation accuracy.

Keywords

Precise Point PositioningGPSInterpolation
Type
Research Article
Information
The Journal of Navigation , Volume 60 , Issue 3 , September 2007 , pp. 443 - 455
Copyright
Copyright © The Royal Institute of Navigation 2007

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References

REFERENCES:

Feng, Y. and Zheng, Y. (2005). “Efficient Interpolation to GPS Orbits for Precise Wide Area Applications.” GPS Solutions, 9, 4, 273–282.CrossRefGoogle Scholar
Spiegel, M. R. (1999). Mathematical Handbook of Formulas and Tables. McGraw Hill.Google Scholar
Remondi, B. (1991). “NGS Second Generation ASCII and Binary Orbit Formats and Associated Interpolation Studies.” Poster presentation at the 20th General Assembly of the IUGG, Vienna, 11–24 August.Google Scholar
Schenewerk, M. (2003). “A Brief Review Of Basic GPS Orbit Interpolation Strategies.” GPS Solutions, 6, 4, 265–267.CrossRefGoogle Scholar
Schueler, T (1998). “On the interpolation of SP3 orbit files.” IfEN Technical IFEN-TropAC-TN – 002 – 01. Institute of Geodesy and Navigation, University of Federal Armed Forces, Munich.Google Scholar
Press, W. H., Teukolosky, S. A., Vetterling, W. T., Flannery, B. P. (2002). Numerical Recipes in C++: The Art of Scientific Computing. Cambridge University Press.Google Scholar