Geosynchronous orbits exist at approximately 3.60 104 km above the Earth's surface. The radius of the Earth and the mass of the Earth are RE = 6.37 103 km and ME = 5.97 x 1024 kg, respectively. The gravitational constant is G = 6.67 x 10-11 m/(kg.s). Consider a 415 kg satellite in a circular orbit at a distance of 3.16 x 104 km above the Earth's surface. What is the minimum amount of work W the satellite's thrusters must do to raise the satellite to a geosynchronous orbit? Assume the change in mass of the satellite is negligible. W = J