A rotor turning system, comprising: a rotor; a rotary driver including a rotating drive element; a removable rotor grasping element configured to frictionally grasp at least a portion of a substantially smooth exterior circumference of a portion of the rotor; and a drive linkage coupling the rotating drive element to the rotor grasping element to impart a torque to the rotor grasping element to turn the rotor, wherein the rotor grasping element includes: at least one grasping member (130, 130A, 130B) configured to surround the at least a portion of the substantially smooth exterior circumference of the rotor, each grasping member including a band body having a coupler for coupling adjacent ends thereof together and a friction element on an inner surface thereof to frictionally grasp a portion of the rotor; a plurality of sprocket members (140A, 140B) configured to collectively surround the at least a portion of the substantially smooth exterior circumference of the rotor, each sprocket member (140A, 140B) including a coupler for coupling with an adjacent sprocket member (140A, 140B); and a plurality of member couplers for coupling at least one grasping member to at least one sprocket member, wherein each member coupler includes a mating female-male element circumferentially affixing a position of a respective sprocket member with a corresponding grasping member. a rotor; a rotary driver including a rotating drive element; a removable rotor grasping element configured to frictionally grasp at least a portion of a substantially smooth exterior circumference of a portion of the rotor; and a drive linkage coupling the rotating drive element to the rotor grasping element to impart a torque to the rotor grasping element to turn the rotor, wherein the rotor grasping element includes: at least one grasping member (130, 130A, 130B) configured to surround the at least a portion of the substantially smooth exterior circumference of the rotor, each grasping member including a band body having a coupler for coupling adjacent ends thereof together and a friction element on an inner surface thereof to frictionally grasp a portion of the rotor; a plurality of sprocket members (140A, 140B) configured to collectively surround the at least a portion of the substantially smooth exterior circumference of the rotor, each sprocket member (140A, 140B) including a coupler for coupling with an adjacent sprocket member (140A, 140B); and a plurality of member couplers for coupling at least one grasping member to at least one sprocket member, wherein each member coupler includes a mating female-male element circumferentially affixing a position of a respective sprocket member with a corresponding grasping member. at least one grasping member (130, 130A, 130B) configured to surround the at least a portion of the substantially smooth exterior circumference of the rotor, each grasping member including a band body having a coupler for coupling adjacent ends thereof together and a friction element on an inner surface thereof to frictionally grasp a portion of the rotor; a plurality of sprocket members (140A, 140B) configured to collectively surround the at least a portion of the substantially smooth exterior circumference of the rotor, each sprocket member (140A, 140B) including a coupler for coupling with an adjacent sprocket member (140A, 140B); and a plurality of member couplers for coupling at least one grasping member to at least one sprocket member, wherein each member coupler includes a mating female-male element circumferentially affixing a position of a respective sprocket member with a corresponding grasping member.