Piste grooming apparatus for a motor vehicle, in particular a track-laying vehicle

Piste grooming apparatus for a motor vehicle for use in a forward direction of travel of the motor vehicle, with a cutter support which can be adjusted relative to the motor vehicle about a plurality of axes and which has a cutting shaft arrangement arranged rotatably in an impact housing, and with a smoothing mechanism which, relative to the forward direction, is arranged behind the cutting shaft arrangement and is held in an adjustable manner by means of at least one adjusting means, wherein the impact housing and the cutting shaft arrangement are pivotally mounted on the cutter support about a pivot axis which, relative to the forward direction, lies behind an axis of rotation of the cutting shaft arrangement, and wherein the smoothing mechanism is supported by a support unit having supporting arms mounted on support extensions of a cross member, the support extensions being rigidly connected to the cross member, and the supporting arms being movable to a limited extent in the manner of a rocker about a pivot axis extending parallel to the forward direction of travel of the motor vehicle when the cutter is oriented rectilinearly during the driving mode.