A method for applying disinfectant to the teats of a dairy livestock, comprises moving a carriage along a track. The carriage carries a robotic arm and the track is adjacent to a stall of a rotary milking platform housing a dairy livestock. The robotic arm comprises a first member pivotally attached to the carriage, a second member pivotally attached to the first member, and a spray tool member pivotally attached to the second member. The method continues by extending the robotic arm between the hind legs of the dairy livestock while the rotary milking platform rotates such that a spray tool of the spray tool member is located at a spray position from which the spray tool may discharge disinfectant to the teats of the dairy livestock.