Expansion theory for the elliptic motion of arbitrary eccentricity and semi-major axis. XII - Time transform and the exact forms of the time in the sectorial regularized theory

Details Expansion theory for the elliptic motion of arbitrary eccentricity and semi-major axis. XII - Time transform and the exact forms of the time in the sectorial regularized theory Expansion theory for the elliptic motion of arbitrary eccentricity and semi-major axis. XII - Time transform and the exact forms of the time in the sectorial regularized theory

Jan 1993

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

Earth, Moon, and Planets (ISSN 0167-9295), vol. 60, no. 1, p. 47-58.

Statistics

Computation

Eccentricity, Ellipticity, Orbital Elements, Orbital Mechanics, Bodies Of Revolution, Computational Astrophysics, Perturbation Theory

Scientific paper

The time transform and the explicit exact forms of the time are established in terms of the sectorial variables introduced earlier 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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