The space shuttle is in a 250 km high circular orbit. It needs to reach a 610 km high circular orbit to catch the Hubble telescope for repairs. The shuttle's mass is 75000 kg. How much energy is required to boost it to the new orbit?
The Attempt at a Solution
I keep coming up with answer that is twice the answer in the back of my book
Uf= E + Ui
(-6.67E-11)(5.98E24kg)(75000kg)/(610000m+6.37E6) = E + (-6.67E-11)(5.98E24)(75000kg)/(250000m+6.37E6)
E= 2.33E11 J
book gives 1.17E11