Analytical solution to the perturbed J2 motion of artificial satellite in terms of Euler parameters.

Details Analytical solution to the perturbed J2 motion of artificial satellite in terms of Euler parameters. Analytical solution to the perturbed J2 motion of artificial satellite in terms of Euler parameters.

Jan 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995em%26p...69....1e&link_type=abstract

Earth, Moon, Planets, Vol. 69, No. 1, p. 1 - 12

Mathematics

Complex Variables

Artificial Satellites: Perturbation Theory, Artificial Satellites: Geopotential

Scientific paper

An analytical solution for the differential equations governing the motion of an artificial satellite under the influence of the oblateness of the Earth is developed. The authors start with the differential equations in terms of Euler parameters. To compact algebra, they introduce the Cayley-Klein type complex variables. Comparison between numerical and analytical final states with J2 are given for a test case.

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