Interpolation of GPS orbit coordinates using radial basis functions

Abstract

The satellite positions computation for many topics related to the astronomy and the satellite geodesy has been crucial. Thisis also one of the core tasks of many GNSS positioning software. In this study, the interpolation methods used in determining the GPS satellite coordinates were researched and the identification of the best suitable method was examined. Generally, different interpolation methods (polynomial, lagrange, trigonometric etc.) was applied for GPS satellite coordinates in the literature. In this study, radial basis functions have been used that produce excellent results for a large number of scattered data points and emerge as a powerful tool for scattered data approximation. For this purpose, satellite coordinate values were calculated with the help of radial basis functions such as linear, gaussian, cubic and multiquadric and results were presented. According to the results, it was observed that cubic, multiquadric, linear and gaussian methods respectively yield better results

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