A satellite that is in a circular orbit 230 km above the surface of the planet Zeeman-474 has an orbital period of 89 min. The radius of Zeeman-474 is 6.38 x 10⁶ m. What is the mass of this planet? (G = 6.67 x 10⁻¹¹ N m²/kg²)

a) 5.0 x 10²⁴ kg
b) 5.5 x 10²⁴ kg
c) 6.0 x 10²⁴ kg
d) 6.5 x 10²⁴ kg