Posted by **Sarah** on Thursday, March 8, 2012 at 9:12pm.

You are in a space shuttle traveling in the circular orbit, which is 380 km above the Earth. Your friend is in another space shuttle traveling on the same circular orbit with you, but he is 20 km ahead of you.

(a) How long will it take you to catch up with your friend if you reduce your orbital radius by 1.1 km? ("Catch up" here means to lie along a line that passes through the center of the earth.)

(b) By how much must you reduce your orbital radius to catch up in 6 hours?

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