This procedure saves the time associated moving the grating to the imaging position, but it only efficient if the dispersed spectrum can be detected with high signal to noise in short integrations. It's good for standards.
This works if:
-.5 -.3 -.1 +.1 +.3 +.5 arcsec (offsets with respect to starting position)
in that order. The telescope returns to the starting position (0.0) when it finishes.
By examining the signal as a function of the offset, you can easily determine what offsets are required to center the star.