Empirical regularities in the moon's motion

Astronomy and Astrophysics – Astronomy

Scientific paper

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Earth Orbits, Lunar Trajectories, Polar Coordinates, Radial Velocity, Three Body Problem, Celestial Mechanics, Equations Of Motion, Parallax

Scientific paper

Data on the moon's parallax over a number of years are used to derive empirical formulas for the radial and areal velocity of the moon as a function of its polar coordinates. The analysis enables a special formulation of the law of areas which is valid for both the two-body problem and the three-body problem. Some notions are expressed regarding the possibility of calculating the moon's trajectory by empirical means.

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