What is horizontal velocity needed to inform

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What is horizontal velocity would have to inform the projectile so that he circled the earth three parallel to its surface without an atmosphere? What would be the period of rotation of the shell around the Earth? Consider that the satellite´s height above the Earth´s surface is much smaller than its radius.

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Task 10562. Detailed solution with a short recording conditions, laws and formulas used in the decision, the withdrawal of the calculation formula and the answer.
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