ABSTRACT. We extend the study of Han (1989, AJ, 94, 213) to angles as small as 7 arcsec. To investigate the relation between the relative-image motion and the separation of two stars in astrometric observations, we analyzed star-trail plates taken with the CFHT by Christian and Racine (1985, PASP, 97, 1215). The result shows that on Mauna Kea the rms relative-image motion for 1 s of integration time is given by