(Figure 1) shows a a geosynchronous satellite, which is
a satellite that goes around the Earth once every 24
hours. If a geosynchronous satellite is in an equatorial
orbit, its position appears stationary with respect to a
ground station, and it is known as a geostationary
satellite.
Find the radius $R$ of the orbit of a geosynchronous satellite that circles the Earth. (Note that $R$ is measured from the center
of the Earth, not the surface of the Earth.) Use the following values if needed in this problem:
* The universal gravitational constant $G$ is $6.67 \times 10^{-11} \text{ N m}^2/\text{kg}^2$.
* The mass of the earth is $5.98 \times 10^{24} \text{ kg}$.
* The radius of the earth is $6.38 \times 10^{6} \text{ m}$.
Express your answer numerically in meters to three significant figures.
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