NASA has sent a satellite to a new planet with an unknown mass. They place the satellite in geosynchronous orbit at a distance of 4000 km from the center of the planet and measure the period to be 2.0 earth days. a. What is the mass of the planet? b. What would be the radius of the orbit if a second satellite with twice the mass and the same period add the first one were placed in geosynchronous orbit about the same planet?