Meriam, Kraige & Bolton — Kinetics of Particles: Problem 3_235

3/235 Two satellites B and C are in the same circular orbit of altitude 500 miles. Satellite B is 1000 mi ahead of satellite C as indicated. Show that C can catch up to B by "putting on the brakes." Specifically, by what amount \(\Delta v\) should the circular-orbit velocity of C be reduced so that it will rendezvous with B after one period in its new elliptical orbit? Check to see that C does not strike the earth in the elliptical orbit.