Two planets X and Y revolve around the same star in nearly circular orbits. The time periods of revolution are TX=8yr and TY=27yr respectively.
(i) Using an appropriate relation, find the ratio of their orbital radii rYrX. Express your answer to two significant figures.
(ii) Compute the ratio of their linear orbital speeds vYvX. Assume the orbits are circular.
(iii) Comment on whether each planet sweeps out equal areas in equal intervals of time and state the implication for their areal velocities.