Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987ap%26ss.129...19s&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 129, no. 1, Jan. 1987, p. 19-38.
Astronomy and Astrophysics
Astrophysics
3
Axes Of Rotation, Eccentric Orbits, Elliptical Orbits, Expansion, Orbit Perturbation, Periodic Functions, Fourier Series, Orbit Calculation, Oscillations, Series Expansion
Scientific paper
In a series of previous communications, the author has proposed a regularization approach based on the idea of orbit segmentation in sectors to regularize the highly oscillating perturbation forces of some orbital systems. In this paper, the basic expansions presented previously are applied to expand the fundamental functions of celestial mechanics in terms of the sectorial variables. The literal analytical expressions for the Fourier expansion of one such function are explored, and computational developments are considered. The basic method and recurrence formulas needed for constructing effective computational algorithms for this function are developed.
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