A new solution to the main problem of lunar theory

Details A new solution to the main problem of lunar theory A new solution to the main problem of lunar theory

May 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979cemec..19..337h&link_type=abstract

Celestial Mechanics, vol. 19, May 1979, p. 337-355.

Mathematics

23

Earth Orbits, Earth-Moon System, Hill Lunar Theory, Orbital Mechanics, Truncation Errors, Mass Ratios, Orbit Perturbation, Tables (Data), Three Body Problem, Two Body Problem, Mathematical Models, Moon, Motion, Mass, Equations Of Motion, Data, Models, Earth-Moon-Sun System

Scientific paper

The full main problem in lunar theory is expressed in terms of the variables dL, DP, and dQ in order to compute an analytical solution in these variables. Truncation errors in the intermediate results are analyzed, and a formal accuracy of 2.5 x 10 to the -10th is estimated. Numerical values for the mean motions of perigee and nodes as well as the partial derivatives with respect to the primary constants are obtained with allowance for the corrections due to the mass ratios.

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