A 1000 kg satellite travels with an orbital speed of 500 m/s around a planet at an orbital radius of 8000 km.  What is the mass of the planet?

The satellite revolves in a circular orbit and has a centripetal acceleration. This centripetal acceleration is caused by the gravitational attraction force  of the planet.m = mass of satellite            M mass of planet      R radius of the orbitV linear velocity tangential to the orbit                   G = gravitational constantCentripetal force = m V² / R                           =  gRGravitational Force = G Mm / R²So,  V² = G M/RSo,   M =  V² R / G        =  500²  * 8000 * 1000 / 6.67 * 10^-11             = 2.998 * 10^22  Kg