Vesta, a minor planet in the Asteriod Belt between Mars and Jupiter, has a mean radius of 525 km and mass of 2.59 X 10^20 kg. The Dawn Spacecraft (m = 1240 kg) orbited Vesta in 2011 & 2012.

How much energy did the spacecraft expend going from the 2750 km orbit to a 210 km altitude orbit with orbital period of 4.3 hours?

find potential and kinetic energy of each orbit and subtract.