Consider the two orbits around the sun shown below. Orbit \mathrm{P} is circular with radius R, orbit \mathrm{Q} is elliptical such that the farthest point \mathrm{b} is between 2 R and 3 R, and the nearest point a is between R / 3 and R / 2. Consider the magnitudes of the velocity of the circular orbit v_{c}, the velocity of the comet in the elliptical orbit at the farthest point v_{b}, and the velocity of the comet in the elliptical orbit at the nearest point v_{a}. Which of the following rankings is correct?
Answer Choices
A. v_{b}>v_{c}>2 v_{a}
B. 2 v_{c}>v_{b}>v_{a}
C. 10 v_{b}>v_{a}>v_{c}
D. v_{c}>v_{a}>4 v_{b}
E. 2 v_{a}>\sqrt{2} v_{b}>v_{c}
