Expansion theory for elliptic motion of arbitrary eccentricity and semi-major axis. IX - Elliptic expansions in terms of the sectorial variables for the thirteenth, fourteenth, fifteenth, and sixteenth categories

Details Expansion theory for elliptic motion of arbitrary eccentricity and semi-major axis. IX - Elliptic expansions in terms of the sectorial variables for the thirteenth, fourteenth, fifteenth, and sixteenth categories Expansion theory for elliptic motion of arbitrary eccentricity and semi-major axis. IX - Elliptic expansions in terms of the sectorial variables for the thirteenth, fourteenth, fifteenth, and sixteenth categories

Aug 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986ap%26ss.125..259a&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 125, no. 2, Aug. 1986, p. 259-298.

Statistics

Computation

6

Computational Astrophysics, Elliptical Orbits, Orbital Mechanics, Eccentricity, Orbit Perturbation, Recursive Functions, Series Expansion, Trigonometric Functions

Scientific paper

Elliptic expansions in terms of the sectorial variable thetaj exp (i) of Sharaf (1982) which regularize the highly oscillatory perturbation force of orbital systems are analytically and computationally derived for the 13th, 14th, 15th, and 16th categories according to a previous scheme (Sharaf, 1983). Literal analytic expressions for the coefficients of the trigonometric series representation of the elliptic expansions belonging to a category are obtained, and recurrence formulas which are satisfied by these coefficients are derived to facilitate their computation. Numerical results are included to provide test examples for developing computational algorithms.

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