Computer Science – Numerical Analysis
Scientific paper
Jun 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979aj.....84..889g&link_type=abstract
Astronomical Journal, vol. 84, June 1979, p. 889-899.
Computer Science
Numerical Analysis
7
Ephemerides, Lunar Orbits, Numerical Analysis, Attitude (Inclination), Cartesian Coordinates, Eccentricity, Equations Of Motion, Fourier Series, Mass Ratios, Orbital Elements, Polar Coordinates, Polynomials, Moon, Ephemeris, Eccentricity, Observations, Orbits, Inclination, Distance, Mass, Motion, Sun, Earth, Three Body Problem
Scientific paper
Eckert and Bellesheim have calculated tables for the main problem of lunar theory. The two eccentricities, the inclination of the moon's orbit, and the ratio of the mean distances were treated as literal parameters, while the ratio of the mean motions and the two ratios of the masses appeared as numerical parameters. The resulting extensive tables have been used in the present study to calculate a lunar ephemeris, called the ELE. The Cartesian coordinates of the moon with respect to the earth were obtained immediately as Fourier series in the four important frequencies. The major effort consisted of transforming these series to polar coordinates, in order to compare ELE with the two other modern ephemerides, ALE and SALE, due to Deprit and Henrard.
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