Energy of Circular Orbits Practice Problems

A satellite of mass 250,000 kg is in a circular orbit of height 550 km above the surface of the earth. It needs to be moved to an orbit that's at a height of 1500 km from the surface of earth. How much energy will be required for this transition?

A spacecraft with a mass of 4500 kg is in a circular orbit 200 km above Jupiter's surface. The spacecraft must use its thrusters to transition to a higher circular orbit, 600 km above the surface. Given that Jupiter has a radius of 69,911 km and a mass of 1.89 × 10²⁷ kg, calculate the amount of work required for the thrusters to move the spacecraft from its initial orbit to the higher orbit.