A method for operating a robotic arm comprises determining a speed of rotation of a rotary milking platform, the rotary milking platform having a stall for a dairy livestock. The method further includes moving a carriage along a track positioned adjacent to the rotary milking platform at a rate that is based at least in part upon the determined speed of rotation of the rotary milking platform. The method further includes extending a robotic arm that is coupled to the carriage between the legs of the dairy livestock.

A spray tool coupled to a robotic arm includes a linear member, a first spray nozzle and a second spray nozzle. The linear member rotates about an axis that is perpendicular to the robotic arm. The linear member has a perimeter that lies within an outer perimeter of the robotic arm when the robotic arm extends between the legs of a dairy livestock. The first spray nozzle is coupled to the linear member proximate a first end of the linear member. The second spray nozzle is coupled to the linear member proximate a second end of the linear member.

A system includes a camera, a controller and a robotic arm. The camera generates an image of an udder of a dairy livestock. The controller determines a position of the udder of the dairy livestock based at least in part upon the image. The controller further determines a spray position based at least in part upon the determined position of the udder of the dairy livestock. Determining the spray position includes processing the accessed image to determine a tangent at the rear of the udder and a tangent at the bottom of the udder. The spray position is a position relative to the intersection of the two tangents. The robotic arm is communicatively coupled to the controller and positions a spray tool at the spray position.