A tomography system with a beam source and a detector that is adapted to carry out a scan. While the beam source is guided along a circular or helical first trajectory about an orbital axis, a rectangular sensor surface of the detector is guided at a distance from the beam source along a circular or helical second trajectory about the orbital axis. During the scan, a yaw angle between a perpendicular bisector of the sensor surface and the plane of rotation in which the beam source is currently located has a value of greater than 0° and simultaneously smaller than 90°.