A geosynchronous orbit is one where a satellite's orbital period (more or less) matches a planet's rotation period. However, this is distinct from a geostationary orbit, where a satellite must remain over the same spot on the Earth. In an inclined geosynchronous orbit, a satellite would trace out an analemma over the course of a sidereal day. Such an orbit would also slowly decay, requiring adjustment over time.
Since you can have a geosynchronous orbit that is inclined, what is the maximum inclination you can have before it is no longer considered "geosynchronous"?
Asking because I found an interesting paper which considers the possibility of detecting aliens through geosynchronous satellites in orbit around their planets.