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

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

Aug 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981ap%26ss..78..359s&link_type=abstract

Astrophysics and Space Science, vol. 78, no. 2, Aug. 1981, p. 359-400. Research sponsored by the Science Research Council.

Mathematics

9

Elliptical Orbits, Fourier Series, Functions (Mathematics), Orbital Elements, Orbital Mechanics, Series Expansion, Algorithms, Astronomical Models, Eccentricity, Ellipticity, Tables (Data)

Scientific paper

In this paper of the series, literal analytical expressions for the coefficients of the Fourier series representation of G will be established for any x~; with n, N positive integers and ~ < 1 for i = 1,2,.. . n. Moreover, the recurrence formulae satisfied by these coefficients will also be established. Illustrative analytical examples and a full recursive computational algorithm, with its numencal results, are included. The applications of the recurrence formulae are also illustrated by their stencils. As by-products of the analyses are two important periodic integrals developed analytically and computationally

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