Astrophysics

    

The Huygens Formula is Exact for a Very Large Angle: The Moon-Earth System as a Gigantic Pendulum Clock

Authors: Espen Gaarder Haug

In this paper, we look at the Earth and Moon as a gigantic pendulum clock. To find its periodicity, we used Huygens pendulum periodic calculations. The Huygens formula should supposedly only hold for a very small angle, but remarkably, we find it to be accurate for a very large angle clock, namely 360 degrees. The Huygens formula predicts the orbital period of the Moon to be approximately 27.42 days, which is only about 0.3\% off from the official number of the Moon's orbital period. Actually, the Huygens formula is exact for a very large angle, which is equal to 360 degrees.

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[v1] 2020-06-15 14:03:42

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