A lithotripsy apparatus (2) comprises an X-ray system (3), with an isocentre (1) arranged in a mid-plane of the X-ray system (3), and a shockwave head (6) that can be oriented with respect to the isocentre (1) and is mounted on a support device (8). A particularly simple and stable mechanism for adjusting the shockwave head is obtained in which the support device (8) has a first adjustment unit (20) that can be moved linearly for horizontal adjustment of the shockwave head (6), a second adjustment unit (24) that can be moved linearly for adjusting the height of the shockwave head (6), and a rotary adjustment unit (22) for rotating the shockwave head (6).
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