Fast evaluation of Fourier series

Astronomy and Astrophysics – Astronomy

Scientific paper

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Fourier Series, Navigation, Celestial Mechanics, Closure Law, Coefficients, Lunar Effects, Mathematical Tables, Satellite Orbits

Scientific paper

An automated program is developed, whereby a Fourier series is generated from a table of integer vectors and numeric coefficients. The addition theorem for trigonometric functions is filed in a recursive manner, permitting the existence of a stand-alone program by which the Fourier series can be evaluated. Reference is made to classical celestial mechanics as it pertains to navigation.

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