Magnitude accuracies in pre-telescopic catalogs

The deviations (or "errors") are tested for dependencies on three different observational influences. The relation between historical and modern magnitudes is found to be linear in all three catalogues which yields a linear conversion of the old magnitudes to the modern scale.

A slight dependency on the colour index (B-V) is shown throughout the data sets and al-Sufi's as well as Brahe's data also give fainter values for stars of lower culmination height (indicating extinction). In all three catalogues, a star's estimated magnitude is influenced by the brightness of its immediate surroundings. After correction for the three effects, the remaining variance within the magnitude errors can be considered as approximate accuracy of the pre-telescopic magnitude estimates.