Mean values of particular functions in the elliptic motion

Astronomy and Astrophysics – Astronomy

Scientific paper

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Artificial Satellites, Elliptical Orbits, Equations Of Motion, Canonical Forms, Kepler Laws

Scientific paper

In the perturbed Keplerian problem, the removal of the mean anomaly l requires computing the quadrature, or the mean value functions depending implicitly on this variable through the true anomaly f. Here, consideration is given to the case where no development in eccentricity is performed. The results are used in a work aimed at the analytical generation of a set of variables describing the secular and long period parts of the artificial satellite motion.

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