We extend the method introduced by Cinzano et al. to map the artificial sky
brightness in large territories from DMSP satellite data, in order to map
the naked-eye star visibility and telescopic limiting magnitudes. For these
purposes we take into account the altitude of each land area from GTOPO30
world elevation data, the natural sky brightness in the chosen sky directio
n, based on Garstang modelling, the eye capability with the naked eye or a
telescope, based on the Schaefer and Garstang approach, and the stellar ext
inction in the visual photometric band. For near-zenith sky directions we a
lso take into account screening by terrain elevation. Maps of naked-eye sta
r visibility and telescopic limiting magnitudes are useful for quantifying
the capability of the population to perceive our Universe, evaluating the f
uture evolution, making cross-correlations with statistical parameters, and
recognizing areas where astronomical observations or popularization can st
ill acceptably be made. We present, as an application, maps of naked-eye st
ar visibility and total sky brightness in the V band in Europe at the zenit
h with a resolution of approximately 1 km.