A satellite is in a circular orbit very close to the surface of a planet of uniform density \(\rho\). What is the period (in hours) of the satellite's orbit around the planet?

**Details and Assumptions**

- \(G = 6.67 \times {10}^{-11} N\cdot{m}^{2}/{kg}^{2}\)
- \(\rho = 4.5 \frac{g}{{cm}^{3}}\)

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