The Fundamental Plane for early-type galaxies: dependence on the magnitude range

Studying three samples of early-type galaxies, which include approximately 8800 galaxies and cover a relatively ample magnitude range ( M 5.5 mag), we find that the coefficients as well as the intrinsic dispersion of the Fundamental Plane depend on the width and brightness of the magnitude range within which the galaxies are distributed. We analyse this dependence, and the results show that it is due to the fact that the distribution of galaxies in the space defined by the variables log(r e ), e and log( 0 ) depends on the luminosity.