(Solved): An undiscovered planet, many light-years from Earth, has one moon, which has a nearly circular peri ...

An undiscovered planet, many light-years from Earth, has one moon, which has a nearly circular periodic orbit. If the distance from the center of the moon to the surface of the planet is $2.090\times 10^5\mathrm{km}$ and the planet has a radius of $3275\mathrm{km}$ and a mass of $6.55\times 10^{22}\mathrm{kg}$, how long (in days) does it take the moon to make one revolution around the planet? The gravitational constant is $6.67\times 10^{?11}\mathrm{N}?{\mathrm{m}}^2/{\mathrm{kg}}^2$ $T=$