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Statement of a problem № 227

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An artificial satellite of the Moon revolves in a circular orbit whose radius exceeds the radius of the Moon rl 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 = av^2, where a is a constant, find how long the satellite will stay in orbit until it falls onto the Moon's surface.

Solution:
An artificial satellite of the Moon revolves in a circular orbit whose radius ex

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