Kepler's Third Law of planetary motion states that the square of a planet's orbital period $T$ is directly proportional to the cube of its semi-major axis $a$ ($T^2 = k a^3$, where $k$ is a constant). If a newly discovered exoplanet orbits its host star at a distance that is $\sqrt{8}$ times the orbital distance of Planet X, determine the orbital period of the exoplanet in terms of Planet X's orbital period $T_0$.