Method for controlling a relative movement between a tool and a workpiece for machining the workpiece using a machine tool , - wherein a machine coordinate system (MKS) is defined in relation to a machine base of the machine tool , - wherein a rotation coordinate system (RKS) is defined in relation to the machine coordinate system (MKS) by: - defining the coordinate point of origin of the rotation coordinate system (RKS) in the machine coordinate system (MKS), - defining the orientation of at least one selected coordinate axis (z') of the rotation coordinate system (RKS) in the machine coordinate system (MKS), - defining an axis of rotation (z') around which the rotation coordinate system (RKS) rotates in the machine coordinate system (MKS), - defining an angular velocity (ω) with which the rotation coordinate system (RKS) rotates around the axis of rotation (z'), - wherein at least one tool path is defined in the rotation coordinate system (RKS), - wherein the relative movement is controlled according to the tool path defined in the rotation coordinate system (RKS), - wherein the axis of rotation (z') is aligned relative to the workpiece such that the axis of rotation lies on a workpiece machining axis (WA) of a workpiece section of the workpiece to be machined by the tool , - characterised in that the workpiece machining axis (WA) is an axis of symmetry of a subsection of the workpiece to be machined, which is at least essentially rotationally symmetrical. - wherein a machine coordinate system (MKS) is defined in relation to a machine base of the machine tool , - wherein a rotation coordinate system (RKS) is defined in relation to the machine coordinate system (MKS) by: - defining the coordinate point of origin of the rotation coordinate system (RKS) in the machine coordinate system (MKS), - defining the orientation of at least one selected coordinate axis (z') of the rotation coordinate system (RKS) in the machine coordinate system (MKS), - defining an axis of rotation (z') around which the rotation coordinate system (RKS) rotates in the machine coordinate system (MKS), - defining an angular velocity (ω) with which the rotation coordinate system (RKS) rotates around the axis of rotation (z'), - defining the coordinate point of origin of the rotation coordinate system (RKS) in the machine coordinate system (MKS), - defining the orientation of at least one selected coordinate axis (z') of the rotation coordinate system (RKS) in the machine coordinate system (MKS), - defining an axis of rotation (z') around which the rotation coordinate system (RKS) rotates in the machine coordinate system (MKS), - defining an angular velocity (ω) with which the rotation coordinate system (RKS) rotates around the axis of rotation (z'), - wherein at least one tool path is defined in the rotation coordinate system (RKS), - wherein the relative movement is controlled according to the tool path defined in the rotation coordinate system (RKS), - wherein the axis of rotation (z') is aligned relative to the workpiece such that the axis of rotation lies on a workpiece machining axis (WA) of a workpiece section of the workpiece to be machined by the tool , - characterised in that the workpiece machining axis (WA) is an axis of symmetry of a subsection of the workpiece to be machined, which is at least essentially rotationally symmetrical. <EOS>