Final answer:
Spokes in Saturn's rings are not maintained by differential rotation but by the gravitational influence of shepherd moons and other gravitational interactions.
Step-by-step explanation:
The statement that the spokes in Saturn's rings are maintained by differential rotation is False. Saturn's rings, notably the F and E Rings, are influenced by complex gravitational interactions not simply differential rotation. The structure within Saturn's rings, such as the narrow F Ring, features ringlets and strands maintained by the gravitational influence of shepherd moons, like Pandora and Prometheus for the F Ring and an unspecified source of fresh particles for the E Ring.
These shepherd moons act to confine the ring particles to their thin shapes and prevent them from spreading out. The F Ring of Saturn and the Epsilon Ring of Uranus show bends and kinks, suggesting gravitational interactions are at play. In the case of Saturn’s A, B, and C Rings, Kepler's third law could be applied to understand the orbital dynamics of particles within these rings, further showing that the motion of ring particles is largely influenced by the planet's gravity and the moons that shepherd them.