Third-order secular Solution of the variational equations of motion of a satellite in orbit around a non-spherical planet

Details Third-order secular Solution of the variational equations of motion of a satellite in orbit around a non-spherical planet Third-order secular Solution of the variational equations of motion of a satellite in orbit around a non-spherical planet

Apr 2012

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012ap%26ss.tmp..143a&link_type=abstract

Astrophysics and Space Science, Online First

Astronomy and Astrophysics

Astrophysics

Satellite Earth Orbit, Orbit Perturbation, Lagrange Equations Of Motion, Earth Oblateness, Secular Variations

Scientific paper

We constructed an analytical theory of satellite motion up to the third
order relative to the oblateness parameter of the Earth (J
2). Equations of secular variations was developed for the
first three orbital elements (a, e, i) of an artificial satellite. The
secular variations are solved in a closed form.

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