1. Sun-grazing comet ISON disintegrated on November, 2013. Observation of the comet suggested an elliptical orbit with period 581,480 years. What would this predict for the distance from the Sun at the orbit’s aphelion, the farthest point from the Sun? Express your answer in AU
2. Estimate the speed with which the comet would have been moving relative to the Sun at perihelion when it collapsed. You may assume perihelion occurred at a distance of 1.86e6 km from the center of the Sun, and neglect the comet's kinetic energy at aphelion (so assume it would come to rest at the distance from the Sun you found above). Express your answer in km/s.
1) 13933.27AU
from 2*(a/1AU)=2*(P/1yr)^2/3
2) 377km/s