The ELP solution for the main problem of the moon and some applications

Details The ELP solution for the main problem of the moon and some applications The ELP solution for the main problem of the moon and some applications

Jan 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982cemec..26...63c&link_type=abstract

(Conference on Analytical Methods and Ephemerides: Theory and Observations of the Moon and Planets, Namur, Belgium, July 28-31,

Mathematics

9

Earth Orbits, Eccentric Orbits, Fourier Series, Moon, Orbit Calculation, Orbit Perturbation, Numerical Integration, Perigees, Perturbation Theory, Time Dependence, Moon, Main Problem, Motion, Perturbations, Earh-Moon System, Perigee, Oblateness, Mathematical Models, Comparisons, Techniques, Eccentricity

Scientific paper

First derivatives of the ELP 2000 solution to the main problem of the moon's orbital motion have been obtained. The solution to the main problem consists of Fourier series with numerical coefficients. Two sets of coefficients have been obtained using the 1900 and 2000 constants; and the first derivatives of the 1900 coefficients with respect to six parameters have also been constructed. The first derivatives of the ELP 2000 solution are used to compute lunar motion perturbations due to the earth's oblateness and to secular terms in the solar eccentricity and perigee.

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