1. The problem statement, all variables and given/known data 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. 2. Relevant equations 3. The attempt at a solution I used Kepler's 3rd law to get that R^3=period^2 which equals 4pi^2R^2/v^2. Simplifying I get R is proportional to 1/v^2 assuming that the layer will be a satellite of Saturn. However this is not an answer choice, what am I doing wrong?