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A Geosynchronous Orbit (GSO) is any orbit which has a period equal to the earth's rotational period. The Earth takes 23 hours, 56 minutes and 4.09 seconds to rotate on its axis and this is the time a satellite in a geosynchronous orbit takes to complete one round.
Geosynchronous satellites are particularly useful for telecommunications and other remote sensing applications.
Geostationary Orbits fall in the same category as geosynchronous orbits, but the key difference is that geostationary orbits lie on the same plane as the equator while the geosynchronous orbits have a different inclination. Or else we can say that geostationary orbit is a geosynchronous orbit with no inclination.
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