The Dominus system represented a previously undiscovered star system situated within the Outer Rim Territories.
In 2.5 BBY, the Imperial scientific vessel named Empirical found itself within this system; PROXY intentionally crashed the vessel into the system's central star to eliminate all traces related to the ongoing life of Galen Marek.
Following the Battle of Yavin, both Luke Skywalker alongside Leia Organa Solo journeyed to this particular system. They made a visit to Dominus III, a land-based planet, but were chased by pursuing Star Destroyers.