Other
Scientific paper
Nov 1974
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974cemec..10..253e&link_type=abstract
Celestial Mechanics, vol. 10, Nov. 1974, p. 253-276.
Other
2
Disturbing Functions, Lunar Gravitational Effects, Orbital Elements, Satellite Perturbation, Solar Position, Harmonic Functions, Hill Lunar Theory, Many Body Problem, Numerical Integration, Tables (Data), Trigonometric Functions
Scientific paper
The disturbing function of the moon (sun) is expanded as a sum of products of two harmonic functions, one depending on the position of the satellite and the other on the position of the moon (sun). The harmonic functions depending on the position of the perturbing body are developed into trigonometric series with the ecliptic elements l, l prime, F, D and Gamma of the lunar theory which are nearly linear with respect to time. Perturbation of elements are in the form of trigonometric series with the ecliptic lunar elements and the equatorial elements omega and Omega of the satellite, so that analytic integration is simple and the results are accurate over a long period of time.-
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