A satellite that goes around the earth once every 24 hours is called a geosynchr
ID: 1321121 • Letter: A
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 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.) You may use the following constants:
The universal gravitational constant G is 6.6710^?11N?m^2/kg^2.
The mass of the earth is 5.9810^24 kg.
The radius of the earth is 6.3810^6 m.
Give the orbital radius in meters to three significant figures.
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 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.) You may use the following constants: The universal gravitational constant G is 6.67 10^?11N?m^2/kg^2. The mass of the earth is 5.98 10^24 kg. The radius of the earth is 6.38 10^6 m. Give the orbital radius in meters to three significant figures.Explanation / Answer
T = 2*pi*R^(3/2)/ sqrt(GM)
(24*60*60) = (2*3.14*r^(3/2))/(sqrt(6.67e-11*5.98e24))
R = 4.22*10^7 m
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