Expansion theory for the elliptic motion of arbitrary eccentricity and semi-major axis

Details Expansion theory for the elliptic motion of arbitrary eccentricity and semi-major axis Expansion theory for the elliptic motion of arbitrary eccentricity and semi-major axis

Jan 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993em%26p...60...47a&link_type=abstract

Earth, Moon, and Planets, Volume 60, Issue 1, pp.47-58

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Scientific paper

In this paper of the series, the time transform and the explicit exact forms of the time will be established in terms of the sectorial variablesθ {/j (i)} introduced in Paper IV (Sharaf, 1982) to regularize the highly oscillating perturbation force. Simple recurrence formulae are given to facilitate the computations. The formulations are general in the sense that they are valid whatever the types and the number of sectors forming the divisions situation of the elliptic orbit may be. Moreover, the constants of integration for the explicit forms of the time are determined in a way that it gives for these forms its generality during any revolution of the body in its Keplerian orbit.

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