Question: An artificial satellite of the Moon revolves in a circular orbit whose radius exceeds the radius of the Moon times. In the process of motion

An artificial satellite of the Moon revolves in a circular orbit whose radius exceeds the radius of the Moon η times. In the process of motion the satellite experiences a slight resistance due to cosmic dust. Assuming the resistance force to depend on the velocity of the satellite as F = av2, where a is a constant, find how long the satellite will stay in orbit until it falls onto the Moon's surface.

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