A mote of dust is initially located at distance R from the sun, which has mass M. At this point, the mote has a small tangential velocity v. Which of the following is a good approximation for the distance of closest subsequent approach between the mote and the sun?
Answer Choices
A. \frac{R^{3} v^{4}}{G^{2} M^{2}}
B. \frac{R^{3} v^{4}}{2 G^{2} M^{2}}
C. \frac{R^{2} v^{2}}{2 G M}
D. \frac{R^{2} v^{2}}{G M}
E. \frac{2 R^{2} v^{2}}{G M}
