Computer Science – Numerical Analysis
Scientific paper
Sep 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977stin...7829130e&link_type=abstract
Unknown
Computer Science
Numerical Analysis
Geosynchronous Orbits, Numerical Analysis, Orbit Perturbation, Perturbation Theory, Equinoxes, Fourier Analysis, Lunar Effects, Numerical Integration, Subroutines
Scientific paper
The general analytical expressions of lunar-solar perturbations on satellite orbits are very lengthy and complicated. In order to take advantage of possible simplifications in the special case of geostationary orbits, a semi-numerical method was applied to develop a perturbation theory for nearly geostationary satellites. Whereas the analytical form of the perturbation terms can be derived by geometrical considerations, the coefficients are determined by multiple Fourier analysis of the perturbation equations. The perturbations are expressed in terms of equinoxial elements to avoid singularities for zero eccentricity and inclination. The final expressions generated by the computer program are printed and punched on cards in the form of program subroutines.
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