A geocentric object orbits around the Earth. There are several classifications, one of which is based on the objects altitude.
Altitude
Term for Earth Orbit
Abbreviation
160 to 2,000 km
(100 to 1,240 miles)
low
LEO
2,000 to 35,786 km
(1,240 to 22,236 miles)
medium (intermediate circular)
MEO
> 35,786 km
(> 22,240 miles)
high
HEO
The height cutoff between MEO and HEO (35,786 km or 22,236 miles) allows for a geosynchronous orbit. A geosynchronous orbit completes one full orbit of the earth per sidereal day (relative to distant stars). Its orbit may (a) follow the equator or (b) deviate north and south of the equator.
A geostationary orbit is a subset of geosynchronous orbit. This stays exactly above the equator.
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