Alphymus

There is a ring outside of Saturn. In order to distinguish if the ring is actually a part of Saturn or is instead part of the satellites of Saturn, we need to know the relation between the velocity $v$ of each layer in the ring and the distance $R$ of the layer to the center of Saturn. Which of the following statements is correct?

(A) If $v ∝ R$, then the layer is part of Saturn.
(B) If $v^2 ∝ R$, then the layer is part of the satellites of Saturn.
(C) If $v ∝ 1/R$, then the layer is part of Saturn.
(D) If $v^2 ∝ 1/R$, then the layer is part of Saturn.
(E) If $v ∝ R^2$ , then the layer is part of the satellites of Saturn.