If a space vehicle circled Earth at a distance equal to the Earth–Moon distance, how long would it take for it to make a complete orbit? In other words, what would be its period?
Express your answer as an integer.
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where k is a function of the sqrt of the Kepler's constant and r is the radius of rotation. Notably, T is not a function of mass of the satellite and other parameters. Evidently it will be the same as that of the moon (28.5 days approx).
