Geosynchronous satellites orbit the Earth at an altitude of about 3.58×107 m. Given that the Earth's radius is 6.38×106 m and its mass is 5.97×1024 kg, what is the magnitude of the gravitational acceleration at the altitude of one of these satellites?

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Nestor RutherfordLv2

14 Aug 2019

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A satellite that goes around the earth once every 24 hours iscalled a geosynchronous satellite. If a geosynchronous satellite isin an equatorial orbit, its position appears stationary withrespect to a ground station, and it is known as a geostationarysatellite.

Find the radius of the orbit of a geosynchronous satellite thatcircles the earth. (Note that is measured from the center of theearth, not the surface.) You may use the following constants:
The universal gravitational constant is . 6.67 x 10^-11 N *m^2/kg^2
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Synchronous communications satellites are placed in a circular orbit that is 3.59 107 m above the surface of the earth. What is the magnitude of the acceleration due to gravity at this distance?

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Geosynchronous satellites orbit the Earth at an altitude of about 3.58×107 m. Given that the Earth's radius is 6.38×106 m and its mass is 5.97×1024 kg, what is the magnitude of the gravitational acceleration at the altitude of one of these satellites?

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