Satellite and moon. Which travels faster, the moon or a satellite traveling around the earth at a radius just greater than the radius of the earth? What is the ratio of the speeds in terms of the ratio of the radii? What is the ratio of the periods? From the facts that the moon has a period of about 27 days and a radius of orbit 240,000 mi and that the radius of the earth is 4000 mi, find the period of the satellite.