Polynomial representation of the numerical satellite ephemerides of artificial earth satellites

Statistics – Computation

Scientific paper

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Earth Orbits, Ephemerides, Orbit Calculation, Polynomials, Satellite Orbits, Chebyshev Approximation, Numerical Integration

Scientific paper

The method of polynomial representation of ephemeris data developed earlier on the basis of Chebyshev expansions is applied to construct numerical ephemerides of earth satellites. The polynomial approximation is performed simultaneously with numerical integration by the INCH method within the framework of a single program complex. It makes it possible to substantially reduce both the memory storage and computation time, in comparison with existing separate procedures for numerical integration and polynomial representation. The method makes it possible to represent the satellite ephemerides compactly and with the same accuracy as for numerical integration results. High accuracy and compactness are achieved by optimum selection of an interval for approximation and the degree of the approximating polynomial.

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