(Solved): Consider a satellite of mass m orbiting at a constant radius r, a body of mass M and radius R (r>R) ...

Consider a satellite of mass m orbiting at a constant radius r, a body of mass M and radius R (r>R). (Assume GM/rc2 << 1.) a. Use Newton's gravitation and centripetal acceleration to find its velocity. b. What is special relativistic time dilation factor of the satellite as seen from a stationary observer on the mass? c. General Relativity shows that time flows at a slower rate when in a gravitational field by a factor of 1-2GM What is the ration of the time flows for the satellite compared to the stationary observer? d. What is the distance of r where these two effects cancel?