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A second large programme (LP) for the physical studies of TNOs and Centaurs,started at ESO Cerro Paranal on October 2006 to obtain high-quality data, hasrecently been concluded. In this paper we present the spectra of these pristinebodies obtained in the visible range during the last two semesters of the LP.We investigate the spectral behaviour of the TNOs and Centaurs observed, and weanalyse the spectral slopes distribution of the full data set coming from thisLP and from the literature. We computed the spectral slope for each observedobject, and searched for possible weak absorption features. A statisticalanalysis was performed on a total sample of 73 TNOs and Centaurs to look forpossible correlations between dynamical classes, orbital parameters, andspectral gradient. We obtained new spectra for 28 bodies, 15 of which wereobserved for the first time. All the new presented spectra are featureless,including 2003 AZ84, for which a faint and broad absorption band possiblyattributed to hydrated silicates on its surface has been reported. The dataconfirm a wide variety of spectral behaviours, with neutral--grey to very redgradients. An analysis of the spectral slopes available from this LP and in theliterature for a total sample of 73 Centaurs and TNOs shows that there is alack of very red objects in the classical population. We present the results ofthe statistical analysis of the spectral slope distribution versus orbitalparameters. In particular, we confirm a strong anticorrelation between spectralslope and orbital inclination for the classical population. A strongcorrelation is also found between the spectral slope and orbital eccentricityfor resonant TNOs, with objects having higher spectral slope values withincreasing eccentricity.

Visible spectroscopy of the new ESO Large Program on trans-Neptunian objects and Centaurs: final results