Fast evaluation of Fourier series

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Fortran, Fourier Series, Lunar Orbits, Minicomputers, Orbit Calculation, Satellite Orbits, Computer Programs, Data Processing, Nutation, Orbital Mechanics

Scientific paper

The paper presents a rapid evaluation of the multivariate Fourier series representing the orbit or the altitude of a celestial body by tabulation and storage in the form of disk or tape sequential data. It is shown how such files can be converted by computer into data structures and coded automatically for immediate insertion in subroutines; this operation consists of replacing the file of angular multiples by a navigation table and evaluating the cosine and the sine integer combination of angles. As an example of such fully automatic conversion of a semianalytical theory into an ephemeris subroutine, the Brown-Eckers Improved Ephemeris (1967, 1968) is treated in detail.

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