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Proceedings Paper

Interpolation and fitting algorithms for GPS satellite orbit
Author(s): Hui Hu; Lian Fang
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Paper Abstract

The paper used the fitting methods of Lagrange interpolation, Chebyshev polynomial fitting and Hermite interpolation to fitting the orbit based on broadcast ephemeris, then compared these results with the orbit of extrapolation, which indicated the Chebyshev polynomial fitting got the best precision, the Lagrange interpolation was inferior and the Hermite Interpolation was worst in the condition of same order. And the most precisions of the three above-mentioned algorithms were amount to the meter levels of 10-6, 10-5, and 10-3 respectively. However in consideration of operating time, the Lagrange Interpolation could get the fastest, the Chebyshev polynomial fitting was inferior and the Hermite interpolation was the slowest. And the average operating time of the three above-mentioned algorithms were 6 seconds, 146 seconds, and 260 seconds respectively.

Paper Details

Date Published: 10 July 2009
PDF: 5 pages
Proc. SPIE 7491, PIAGENG 2009: Remote Sensing and Geoscience for Agricultural Engineering, 749109 (10 July 2009); doi: 10.1117/12.836851
Show Author Affiliations
Hui Hu, East China JiaoTong Univ. (China)
Lian Fang, East China JiaoTong Univ. (China)


Published in SPIE Proceedings Vol. 7491:
PIAGENG 2009: Remote Sensing and Geoscience for Agricultural Engineering
Honghua Tan; Qi Luo, Editor(s)

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