Computer Science – Numerical Analysis
Scientific paper
Aug 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978stin...8022389e&link_type=abstract
"A seminumerical procedure for the calculation of geostationary orbit perturbations caused by the Sun and the Moon Transl. into
Computer Science
Numerical Analysis
Geosynchronous Orbits, Numerical Analysis, Orbit Perturbation, Perturbation Theory, Equinoxes, Fourier Analysis, Lunar Effects, Numerical Integration, Subroutines
Scientific paper
A simplified semi-numerical perturbation method was developed for the special case of nearly geostationary satellites for orbits perturbed by the Sun and Moon. Whereas the analytical form of the perturbation terms can be derived from geometrical considerations, the coefficients are determined by multiple Fourier analysis of the perturbation equations. The perturbations are expressed in terms of equinoctial elements to avoid singularities for zero eccentricity and inclination. The expressions generated by the computer program are presented in the form of subprograms.
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