An asteroid of mass \(m\) orbits the Sun of mass \(M\) in an elliptical path. At perihelion, the asteroid is at a distance \(r_p\) from the Sun with speed \(v_p\), where its velocity vector is perpendicular to its position vector relative to the Sun. The asteroid travels along an outbound arc to aphelion at a distance \(r_a\) from the Sun, and then returns to perihelion along an inbound arc. Which of the following correctly pairs the speed of the asteroid at aphelion, \(v_a\), with the relationship between the work done by the gravitational force on the asteroid along the outbound arc, \(W_{\text{out}}\), and along the inbound arc, \(W_{\text{in}}\)?