Magnitude to luminance conversions and visual brightness of the night sky

@article{Bara2020MagnitudeTL,
  title={Magnitude to luminance conversions and visual brightness of the night sky},
  author={Salvador Bar'a and Martin Aub'e and John C. Barentine and Jaime Zamorano},
  journal={Monthly Notices of the Royal Astronomical Society},
  year={2020}
}
The visual brightness of the night sky is not a single-valued function of its brightness in other photometric bands, because the transformations between photometric systems depend on the spectral power distribution of the skyglow. We analyse the transformation between the night sky brightness in the Johnson–Cousins V band (mV, measured in magnitudes per square arcsecond, mpsas) and its visual luminance (L, in SI units cd m−2) for observers with photopic and scotopic adaptation, in terms of… 

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