The Millennium Falcon is trying to stay in the Death Star’sblind spot by following a geosynchronous orbit above it. The Falconis 2.1x10^5m above the surface of the Death Star,
which has a radius of 80 km. The Death Star has a mass of2.3x10^18 kg and it makes one full rotation about its central axisevery 22 hours. What speed does the Falcon need to maintain inorder to stay in geosynchronous orbit with the Death Star ?
(Note: there is enough information given in this problem tosolve it via two different, independent methods. Try to figure bothof them out! They both give the same correct answer.)
