The repulsor-compensator was a part of a hyperdrive. The Millennium Falcon often flew with a broken one.
After the Battle of Yavin, a shipment of repulsor-compensators was stolen from one of Corellian Technologies' droid freighters. As these components were needed to fulfill an Imperial order for hyperdrives, placed by Darth Vader himself, the company hired an independent strike team to retrieve the shipment.
Repulsor-compensators were also used as component parts of servo slippers. They worked with muscle stimulators and movement servos to allow precise movement in high-gravity environments.
- Galladinium's Fantastic Technology