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## Homework Statement

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?

## Homework Equations

## 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