The adaptor unit provides the mechanical interface for mounting various instruments including EFOSC2 on to the telescope. The unit also hosts the Guide Camera and calibration units. The NTT has two rotators, one on each Nasmyth focus. For an Alt-Az telescope such as the NTT, the rotator must continuously move to keep the instrument with the same alignment on sky.
The rotator can move between -270 and 270 degrees (although the operating range is a little less than these physical limits), giving a range near 180 degrees that can be reached from two directions. When tracking an object and passing through 180 degrees (ie approaching the end of the rotator range), the observer can pause (between exposures) and rotate through 360 degrees, giving the same orientation on sky but with the tracking then taking the rotator away from the limits, as shown in the diagram below. The telescope operator will take care of this, but the astronomer does need to warn the operator when taking particularly long sequences so one does not come up against the end of the rotator track unexpectedly.

Changing the relative orientation of the sky and the CCD is an important function of the adaptor; this is achieved by rotating the adaptor by a fixed offset before continuing to track to keep that orientation.
The default image orientation is North up and East right (i.e. flipped compared to the North up and East left seen on the sky). The slit orientation is parallel to the x-axis, i.e. East-West in the default orientation. To change this orientation (e.g. to put a slit along a specific angle) one applies an offet to the rotator. The offset definition used by ESO telescopes is "non-standard" in that it does not follow the usual Position Angle definition (positive angle subtended from North through East in the range 0 - 180 degrees). The ESO convention does occasionally lead to confusion, error and consequent observing time loss and so a few minutes of consideration is recommended. One should understand the difference between the following angle definitions:
The Rotator Offset Angle specifies the angle that the rotator (and therefore instrument) rotate; objects in the field will appear to rotate in the opposite direction. Positive Rotator Offset Angles mean a clockwise rotation of the instrument, and therefore stars appear to rotate anti-clockwise on the real-time display. Negative angles move the instrument anti-clockwise, and stars clockwise.
The position angle of the slit is 90 degrees in the default orientation, and at other orientations is given by
Position Angle = Rotator Offset Angle + 90 degrees
To align the slit along a specific Position Angle, one specifies the Rotator Offset Angle in the aquisition template in P2PP. It is found by
Rotator Offset Angle = Position Angle - 90 degrees
This diagram demonstrates the above points:

One specifies the required rotator offset in P2PP by setting the parameter "Rotator Offset Angle" in the acquisition template. In spectroscopy templates one has the option of either :