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Does Keplers third law work, for example, for the Moons path around the Earth, or for any satellite of anything in space?

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Does Keplers third law work, for example, for the Moons path around the Earth, or for any satellite of anything in space?

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Yes, Kepler’s laws work for the Moon around the Earth. Kepler’s laws result from Newton’s law of universal gravitation, and are an approximation for the special case of a small mass in orbit around a much larger one. Those conditions hold pretty well for the case of the Moon around the Earth.

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