Earth takes 365days to revolve once around the Sun at an average orbital radius of 1AU. Mars orbits the Sun at an average radius of 1.52AU.
(a) Using an appropriate relationship, obtain an expression that connects the orbital periods of Earth and Mars with their orbital radii.
(b) Hence calculate the orbital period of Mars in Earth days, giving your answer correct to the nearest day.
(c) Express the result also in Earth years (to two significant figures).