A synchronous orbit around the earth is called geosynchronous. “Geo-” means
Earth, and it’s from Greek, so purists insist that the word for a synchronous
orbit around some other body must follow that body’s Greek name. Mars has
areosynchronous, for example.
A synchronous orbit around asteroid 2201 Oljato would be unstable. And that’s
a good thing—what’s Greek for Oljato? English could stand some central
planning.