Analytical solution to the perturbedJ 2 motion of Artificial Satellite in terms of Euler parameters

Details Analytical solution to the perturbedJ 2 motion of Artificial Satellite in terms of Euler parameters Analytical solution to the perturbedJ 2 motion of Artificial Satellite in terms of Euler parameters

Jan 1995

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

Earth, Moon, and Planets, Volume 69, Issue 1, pp.1-12

Mathematics

Complex Variables

1

Scientific paper

In this paper an analytical solution for the differential equations governing the motion of Artificial Satellite under the oblateness of the earth will be developed. We start with the differential equations in terms of Euler parameters. To compact algebra, we introduce the Cayley-Klein type complex variables. Comparison between numerical and analytical final states withJ 2 will be given for a test case.

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