A satellite that goes around the earth once every 24 hours is called a geosynchr

Question

A satellite that goes around the earth once every 24 hours is called a geosynchronous satellite. 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 of the orbit of a geosynchronous satellite that circles the earth. (Note that is measured from the center of the earth, not the surface.) You may use the following constants:
The universal gravitational constant is .
The mass of the earth is .
The radius of the earth is .
Give the orbital radius in meters to three significant figures. Please answer.

Explanation / Answer

mg = mw^2R m's cancel, rearrange to get R = g/w^2 where w is the angular frequency = 2*pi/T. Plug in the numbers

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