Paritian

Science

Star Luminosity Calculator

Luminosity of a star in solar units and watts, its peak colour, absolute magnitude and the flux reaching us.

Results

Luminosity 1.000000 L☉
Power 3.828e+26 W
Wavelength 502.04 nm
Absolute magnitude 4.8300
Flux received 0.000000018873 W/m²

What this tool does

Two things set how much light a star pours out: how big it is and how hot. Temperature dominates because it enters to the fourth power — a star only twice as hot as the Sun shines sixteen times brighter at the same size. That is why a red giant a hundred times the Sun's radius can still be outshone by a small blue star.

Formula

L ÷ L☉ = (R ÷ R☉)² × (T ÷ T☉)⁴

Variables

SymbolMeaningUnit
rRadiusR☉
tSurface temperatureK
dDistancely
LLuminosityL☉
LWPowerW
WLWavelengthnm
AMAbsolute magnitude
FLFlux receivedW/m²

Worked example

  • Radius1 R☉
  • Surface temperature5772 K
  • Distance4.2465 ly
  • Luminosity1.000000 L☉
  • Power3.828e+26 W
  • Wavelength502.04 nm
  • Absolute magnitude4.8300
  • Flux received0.000000018873 W/m²

Limitations

  • The formula assumes ideal conditions: no friction losses, no air resistance and no efficiency losses unless you enter them.
  • The default values are typical reference figures, not measurements of your situation. Replace them with your own data whenever you have it.