Computer Science – Numerical Analysis
Scientific paper
Jan 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982cemec..26...97k&link_type=abstract
(Conference on Analytical Methods and Ephemerides: Theory and Observations of the Moon and Planets, Namur, Belgium, July 28-31,
Computer Science
Numerical Analysis
13
Earth Orbits, Fourier Series, Moon, Oblate Spheroids, Orbit Calculation, Orbit Perturbation, Coordinates, Eccentric Orbits, Ephemerides, Numerical Analysis, Secular Variations, Moon, Perturbations, Oblateness, Earth, Motion, Analysis, Longitude, Mathematical Models, Coordinates, Data, Latitude, Acceleration
Scientific paper
Perturbations in the lunar motion due to the earth's oblateness and the indirect effect of the planets are computed by a Fourier series method based on Delaunay's analytical solution of the main problem. The effects of the earth's oblateness is obtained to second order. Several terms are obtained both in longitude and in latitude whose coefficient differs from the current lunar ephemeris based on Brown's by about 0.01 arcsec. As for the indirect effect of the planets, several periodic terms in the current ephemeris appear to have errors reaching 0.05 arcsec. The effect of secular changes in the eccentricity of the earth's orbit and in the obliquity of the ecliptic is also examined.
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