The asteroid belt among Mars and Jupiter comprises of many fragments (which a few space scientists think came from a planet which once orbited the Sun however was destroyed).
(i) When the radius of the asteroid belt (where the orbit of the planet would have been) is around three times bigger than the distance between the Sun than the Earth, then how long would it have taken this hypothetical planet to orbit the Sun?
(ii) Can we utilize these data to deduce the mass of the planet?