Abstract: A stabilizing unit for stabilizing a track has a vibration generator with rotating shafts that are orientated parallel to one another and have unbalanced masses for generating an impact force with an adjustable direction. Flange wheels and pressure rollers transmit the impact force onto a track panel, that has sleepers and rails secured thereon, of the track to be stabilized. Each flange wheel is rotatably mounted about a wheel axle and has a running surface with a wheel diameter. The rotating shafts are arranged to generate the impact force in a horizontal effective plane such that the horizontal effective plane of the impact force lies no more than 300 mm, in particular no more than 260 mm, above a rolling plane of the flange wheels. The sunken horizontal effective plane prevents interfering tilting torques during a stabilization process.