Solved: A satellite in a circular orbit of radius r has

Chapter 13, Problem 13.95

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A satellite in a circular orbit of radius r has period T. A satellite in a nearby orbit with radius r + r, where r V r, has the very slightly different period T + T. a. Show that T T = 3 2 r r b. Two earth satellites are in parallel orbits with radii 6700 km and 6701 km. One day they pass each other, 1 km apart, along a line radially outward from the earth. How long will it be until they are again 1 km apart?

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