a) The dwarf planet, Ixion, has an orbit that ranges from 30.091AU out to 49.269 AU. Use Kepler's Laws of Planetary Motion to calculate the orbital period of Ixion.
b) Using the same technique, compute the maximum distance from the Sun of a long-period comet that has an orbital period of 1,500,000 years and a perihelion at 0.5 A.U. (Hint for a) and b): Remember that the semi-major axis is the average of the distance at perihelion and aphelion.)