GPS Precision Ephemeris Satellite Orbit Interpolation Using Chebyshev Fitting

This MATLAB implementation provides a computational solution for GPS precise ephemeris satellite orbit interpolation through Chebyshev polynomial fitting. The program features automatic execution when running the chebshev2.mat file, generating interpolation results that are stored in document2.mat for further processing. While designed for straightforward operation, users should possess fundamental MATLAB knowledge to effectively utilize the system. The algorithm employs Chebyshev polynomials to approximate satellite trajectories with high numerical stability, minimizing interpolation errors through orthogonal polynomial properties. The modular code structure permits customization and optimization based on specific requirements, allowing enhancements to fitting orders, error handling mechanisms, or output formats. Key functions include ephemeris data preprocessing, Chebyshev coefficient calculation, and orbit position interpolation with sub-meter accuracy typical for precision applications.