Interpolation Method Research and Precision Analysis of GPS Satellite Position

Wang Jianmin (), Li Yabo (), Zhu Huizhong () and Ma Tianming ()
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Wang Jianmin: School of Geomatics, Liaoning Technical University, Fuxin123000, China
Li Yabo: School of Geomatics, Liaoning Technical University, Fuxin123000, China
Zhu Huizhong: School of Geomatics, Liaoning Technical University, Fuxin123000, China
Ma Tianming: School of Geomatics, Liaoning Technical University, Fuxin123000, China

Journal of Systems Science and Information, 2018, vol. 6, issue 3, 277-288

Abstract: According to the precise ephemeris has only provided satellite position that is discrete not any time, so propose that make use of interpolation method to calculate satellite position at any time. The essay take advantage of IGS precise ephemeris data to calculate satellite position at some time by using Lagrange interpolation, Newton interpolation, Hermite interpolation, Cubic spline interpolation method, Chebyshev fitting method respectively, which has a deeply analysis in the precision of five interpolations. The results show that the precision of Cubic spline interpolation method is the worst, the precision of Chebyshev fitting is better than Hermite interpolation method. Lagrange interpolation and Newton interpolation are better than other methods in precision. Newton interpolation method has the advantages of high speed and high precision. Therefore, Newton interpolation method has a certain scientific significance and practical value to get the position of the satellite quickly and accurately.

Keywords: precise ephemeris; satellite position; lagrange interpolation; Newton interpolation; hermite interpolation; cubic spline interpolation; Chebyshev fitting (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:bpj:jossai:v:6:y:2018:i:3:p:277-288:n:7

DOI: 10.21078/JSSI-2018-277-12

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