According to Wikipedia, a statite is

a hypothetical type of artificial satellite that employs a solar sail to continuously modify its orbit in ways that gravity alone would not allow. Typically, a statite would use the solar sail to "hover" in a location that would not otherwise be available as a stable geosynchronous orbit.

The article notes that Robert L. Forward came up with the idea and filed a patent in 1989, but doesn't say when the word was first used. Presumably it's from "static" + "satellite".

One reason I think it's worth mentioning is that a lot of sf writers don't realize that you can get a geostationary orbit only directly above the equator, unless you use a statite.