A satellite is placed into a circular orbit about the planet Saturn at an altitude of 2100 mi. The satellite describes its orbit with a velocity of 54.7 × 103 mi/h. Knowing that the radius of the orbit about Saturn and the periodic time of Atlas, one of Saturn's moons, are 85.54 × 103 mi and 0.6017 days, respectively, determine

(a) The radius of Saturn,

(b) The mass of Saturn. (The periodic time of a satellite is the time it requires to complete one full revolution about the planet.)