I just want to add that the geosynchronous orbit that stays in one point is the geostationary orbit, a specific kind that is circular and matches the equatorial plane.
But there are other kinds of geosynchronous orbits that don’t stay in one point, instead they do a figure eight with a loop on every hemisphere and the crossing point on the equator. The figure stays in place though that’s why it’s still geosynchronous.
This is because orbits can’t stay at a fixed latitude (other than the equator), they have to cross the equatorial plane periodically.
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