The moon is not in a geosynchronous orbit; its orbital period is about 28 siderial days (as opposed to 1, which is the definition of a geosynchronous orbit.)
isnt that geostationary?
-a confuzzled grim[/quote]
No.
Err isn't geostationary orbit a contratiction in terms?
Not really, note the "geo" part, it just means a satellite that is in orbit over the equator and orbiting at the same speed that the earth turns, which keeps it over the same spot, or "geographic location". To an observer standing on the earth it would appear to be stationary in the sky.
That is what it is.
To expand on Bongo's definitions, a geostationary orbit is a special kind of geosynchronous orbit. A geosynchronous orbit has a period of one siderial day (the time it takes the "fixed" stars to make one full trip around the sky; also, the true rotationary period of the Earth). However, its orbital plane might be inclined to the Earth's equatorial plane, and so it wouldn't stay in the same position in the sky (most notably, it might move north and south).
A geostationary orbit, aside from having a period of one siderial day, orbits in the same plane as the Earth rotates -- the equatorial plane. So if you put a pole in the ground pointing up at the satellite, the pole's top end and the satellite are following essentially the same orbit (just at different heights). The pole will always point at the satellite, whereas in the geosynchronous case, the pole would point at the satellite only once every siderial day (but always at the same time).
-Erasmus