Chebyshev Polynomial Fitting for Satellite Precise Ephemerides

Chebyshev polynomial approximation of satellite precise ephemerides for orbital position and velocity determination, with implementation details and algorithm descriptions.

Function Approximation Using Chebyshev Polynomials

Chebyshev: Approximation of known functions using Chebyshev polynomials. Legendre: Approximation using Legendre polynomials. Pade: Rational fraction approximation via Pade form. lmz: Optimal uniform approximation polynomial determination using Remez algorithm. ZJPF: Best mean square approximation polynomial for known functions. FZZ: Fourier series approximation for continuous periodic functions. DFF: Fourier approximation for discrete periodic data points. SmartBJ: Adaptive piecewise linear approximation. SmartBJ: Adaptive spline approximation (first kind). multifit: Polynomial curve fitting for discrete experimental data. LZXEC: Linear least squares fitting for discrete data points. ZJZXEC: Orthogonal polynomial least squares fitting for discrete experimental data.