The present disclosure is directed to systems and methods for rotating a drill string to overcome issues related to static friction during drilling. An embodiment includes a drive system configured to rotate the drill string through variable angular displacements and at variable rotation speeds based on control signals received by the drive system, and a control system configured transmit the control signals to the drive system, wherein the control system is configured to generate the control signals based on pipe characteristics within the drill string and friction values associated with the drill string to establish a rotation pattern of the drive system to approach a desired effective reach of surface torque generated by the drive system on the drill string.