A 50 kg satellite circles the earth in an orbit with a period of 300 min. What minimum energy E is required to change the orbit to one with a period of 510 min? Assume both the initial and fi- nal orbits are circular. The Earth's radius is 6.37×106 m, its mass is 5.98×1024 kg, and the value of the universal gravitational constant is 6.672 × 10-11 N · m2/kg2.