# A comet orbiting the Sun has a perihelion distance of 1 AU. At aphelion, it is at 69 AU. What is the ratio of its speed at perihelion to its speed at aphelion?

v = sqrt($\mu$(2/r $-$ 1/a).
Perihelion = a( 1 $-$ e) and aphelion = a( 1 + e). Required ratio simplifies to the ratio aphelion/perihelion.