A track maintenance machine comprises a machine frame, a track scanning unit adjustable connected to the machine frame and having flanged rollers for moving the track scanning unit along the track, a satellite receiver connected to the machine frame, the satellite receiver having an antenna with an antenna center, a measuring device for monitoring the position of the antenna center relative to the track scanning unit with respect to the following parameters: transverse track tilting (beta), transverse track displacement (d) perpendicular to a longitudinal extension of the machine frame, and vertical distance (a), and a computer for a computed repositioning of the antenna center relative to a reference point of the track scanning unit. |