Interpolation and fitting algorithms for GPS satellite orbit

Hui Hu; Lian Fang

doi:10.1117/12.836851

10 July 2009 Interpolation and fitting algorithms for GPS satellite orbit

Hui Hu, Lian Fang

Proceedings Volume 7491, PIAGENG 2009: Remote Sensing and Geoscience for Agricultural Engineering; 749109 (2009) https://doi.org/10.1117/12.836851
Event: International Conference on Photonics and Image in Agriculture Engineering (PIAGENG 2009), 2009, Zhangjiajie, China

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.

Citation Download Citation

Hui Hu and Lian Fang "Interpolation and fitting algorithms for GPS satellite orbit", Proc. SPIE 7491, PIAGENG 2009: Remote Sensing and Geoscience for Agricultural Engineering, 749109 (10 July 2009); https://doi.org/10.1117/12.836851

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