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You are an astronaut in the space shuttle pursuing a satellitein need of repair. You are in a circular orbit of the same radiusas the satellite (370 km above theEarth), but 20 km behind it.

(a) How long will it take to overtake the satellite if youreduce your orbital radius by 1.0 km?

(b) By how much must you reduce your orbital radius to catch up in7.0 hours?

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