Exploring the Moon's Motion using Fourier Analysis

Details Exploring the Moon's Motion using Fourier Analysis Exploring the Moon's Motion using Fourier Analysis

May 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002aas...200.1311e&link_type=abstract

American Astronomical Society, 200th AAS Meeting, #13.11; Bulletin of the American Astronomical Society, Vol. 34, p.662

Astronomy and Astrophysics

Astronomy

Scientific paper

Contrary to public belief the Moon's motion is very complex. In addition to the three-body problem of the Sun-Earth-Moon, there are additional perturbations on the Moon's motion due to the major planets, with the most significant contribution from Jupiter. Using a General Relativistic, post-Newtonian computer code the motion of the Moon is investigated using Fourier analysis. Newtonian accelerations are included due to figure effects by considering the Moon and Earth as extended bodies. The Earth-Moon distance is computed by solving the Post-Newtonian equations of motion using a seventh order Runge-Kutta-Nystrom method. Performing a power spectrum analysis on the resulting Earth-Moon distance demonstrates the complex nature of the Moon's motion.

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