Consider the two orbits around the sun shown below. Orbit \( P \) is circular with radius \( R \), orbit \( Q \) is elliptical such that the farthest point b is between \( 2R \) and \( 3R \), 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?
Note: This problem appeared on the 2012 F = ma exam.