A newly discovered exoplanet has a mass twice that of the Earth. The length of one day on this exoplanet is exactly one-third of an Earth day.
If the radius of a synchronous (geostationary) orbit around the Earth is RRR, what is the radius of a synchronous orbit around this exoplanet?
29R\frac{2}{9} R92R
233R\frac{\sqrt[3]{2}}{3} R332R
633R\frac{\sqrt[3]{6}}{3} R336R
1833R\frac{\sqrt[3]{18}}{3} R3318R