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🌌 Night Sky Brightness Calculator

Convert night sky brightness between magnitudes per square arcsecond and linear luminance, a standard measure used in astronomy and light pollution studies.

mag/arcsec²

What this measures

Night sky brightness describes how bright the night sky glows, usually due to a mix of natural airglow, starlight, and artificial light pollution. It is commonly reported in magnitudes per square arcsecond, a logarithmic astronomical brightness scale.

The formula

This calculator uses the standard conversion (used by sky quality meters and light-pollution researchers) from magnitude per square arcsecond to linear luminance in nanolamberts: nL = 34.08 × e(20.7233 – 0.92104m), where m is the sky brightness in mag/arcsec². A darker sky corresponds to a higher magnitude number and a lower nanolambert value.

This is a widely used approximate conversion for general astronomy and light-pollution reference; exact readings depend on instrument calibration.

Last reviewed August 2026