Typically, a statite would use the solar sail to "hover" in a location that would not otherwise be available as a stable geosynchronous orbit.
Statites have been proposed that would remain in fixed locations high over Earth's poles, using reflected sunlight to counteract the gravity pulling them down.
The concept of the statite was invented independently and at about the same time by Robert L. Forward[1] (who coined the term "statite") and Colin McInnes, who used the term "halo orbit"[2] (not to be confused with the type of halo orbit discovered by Robert Farquhar).
No statites have been deployed to date, as solar sail technology remains in its infancy.
NASA's cancelled Sunjammer solar sail mission had the stated objective of flying to an artificial Lagrange point near the Earth/Sun L1 point, to demonstrate the feasibility of the Geostorm[3] geomagnetic storm warning mission concept proposed by NOAA's Patricia Mulligan.