A satellite in a circular orbit of radius r has period T A satellite in a nearby orbit with radius r r, where r 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...

Solve a Keplers third law for circular orbits is Letting a 4 2 GM the first sa ...

A satellite in a circular orbit of radius r has period T. A satellite in a nearby

Question:

A satellite in a circular orbit of radius r has period T. A satellite in a nearby orbit with radius r + Δr, where Δr << r, has the very slightly different period T + ΔT.
a. Show that ΔT/T = 3/2 Δr/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?