Analytical developments concerning the inverse of a distance in celestial mechanics

Details Analytical developments concerning the inverse of a distance in celestial mechanics Analytical developments concerning the inverse of a distance in celestial mechanics

Jan 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975a%26a....38...57a&link_type=abstract

Astronomy and Astrophysics, vol. 38, no. 1, Jan. 1975, p. 57-66. In French.

Computer Science

Numerical Analysis

22

Celestial Mechanics, Distance, Disturbing Functions, Laplace Transformation, Legendre Functions, Numerical Analysis, Eccentricity, Expansion, Planetology, Polynomials, Truncation Errors

Scientific paper

Two new methods of calculating the inverse of the distance between two planets, as well as powers of the inverse, are presented. The first uses Laplace coefficients, while the second employs Legendre polynomials. Computer solution of the problem via these techniques is detailed. The first method is examined more thoroughly; it provides a precise determination of the ratio of the semi-major axes.

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