Ganymede is the largest of Jupiter’s moons, with a mass of 1.48 × 10²³ kg. It orbits Jupiter with an orbital radius of 1.07 × 10⁶ km and it rotates on its own axis with a period of 7.15 days. It has been suggested that to monitor an unmanned landing craft on the surface of Ganymede a geostationary satellite should be placed in orbit around Ganymede.

a. Calculate the orbital radius of the proposed geostationary satellite.

b. Suggest a difficulty that might be encountered in achieving a geostationary orbit for this moon.