A method is disclosed for producing tomographic images relating to different movement phases of a periodically moving object with the use of a tomography unit that includes a recording system that is arranged rotatably about a z-axis of the tomography unit, the recording system including an X-ray tube to which a tube current can be applied and a detector (17, 18) for acquiring projections. In at least one embodiment, the recording system is initially positioned relative to the object at a first z-position, and projections are acquired from a multiplicity of different projection dimensions at this z-position, in a fashion triggered by a movement signal representing the movement of the object, projections relating to a first movement phase of the object being acquired in a prospectively defined first time window and projections relating to at least a second movement phase of the object being acquired in a prospectively defined second time window. In at least one embodiment, a modulation of the tube current is performed in such a way that different tube current values are set in the first and the second time window to attain a prescribable different signal-to-noise ratio in the produced images. The recording system is then positioned sequentially at further z-positions, and respectively corresponding projections are acquired there for the two movement phases until a prescribed examination area is scanned at the desired z-positions. Tomographic images are reconstructed in real time or subsequently on the basis of the obtained projections.