A system for operating a robotic arm comprises a carriage and a robotic arm. The carriage is mounted on a track adjacent to a rotary milking platform having a substantially circular perimeter and a stall for a dairy livestock. The carriage moves along a substantially straight portion of the track tangent to and outside the perimeter of the rotary milking platform at a rate based at least in part upon a speed of rotation of the rotary milking platform. The carriage moves in a direction corresponding to the direction of rotation of the rotary milking platform and such movement of the carriage is independent of any physical coupling between the carriage and the rotary milking platform. The robotic arm extends between the legs of the dairy livestock.