Abstract: A digitally indexed reciprocating linear actuator includes a frame and a servomotor mounted to the frame. A crank is gear-coupled with integer gear ratio to the servomotor for unidirectional rotation. An actuator slide with a non-home index point is slideably-mounted to the frame for linear motion. A connecting rod couples the crank to the actuator slide. The actuator also includes means, including a sensor, for detecting the index point at two angular positions of the crank. A wrapping machine for wrapping a plurality of articles has repeated cycles of article-handling operations and a plurality of carriages, each carriage capable of moving at least one article for wrapping. The wrapping machine includes at least one digitally indexed reciprocating linear actuator having a crank, and an actuator slide with a non-home index point. The wrapping machine records first and second servomotor angular positions on detecting the index point at first and second angular positions of the crank.