Astronaut in the space shuttle pursuing a satellite


You are an astronaut in the space shuttle pursuing a satellite in need of repair. You are in a circular orbit of the same radius as the satellite (410 km above the Earth), but 28 km behind it.

How long will it take to overtake the satellite if you reduce your orbital radius by 1.5 km ?

By how much must you reduce your orbital radius to catch up in 5.5 h ?

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Physics: Astronaut in the space shuttle pursuing a satellite
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