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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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User Keith Yong
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2 Answers

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T= k * sqrt (r ^ 3) or umm well it could be 29 days approximately
User Andrew Carreiro
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T = k * sqrt(r ^ 3)

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).
User Phaas
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