Mean tangential/cross ellipticity components versus satellite distance from the BGG, obtained using satellite shape – BGG position pairs. Top: binned in satellite’s r-band absolute magnitude. Bottom: binned in BGG’s r-band absolute magnitude. Power-law fits with fixed index are over-plotted, with the 1-σ uncertainty on the fit, for the three bins. The grey area covers the radial bins over which we regard the BGG light correction to be too significant, and these scales are not used for our model fitting. Shapes were measured in r-band for r_wf = r_iso.