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Stellar Luminosity Calculator

1.00solar luminosities
3.83e26Watts
4.74Approx abs mag

A star luminosity is the total power it radiates in every direction, and the Stefan-Boltzmann law ties it neatly to just two things: how big the star is and how hot its surface is. Luminosity equals four pi times the radius squared, times the Stefan-Boltzmann constant, times the temperature to the fourth power. Because temperature enters as a fourth power, a modest rise in surface heat makes a star vastly brighter. This calculator takes the radius as a multiple of the Sun and the surface temperature in kelvin, then returns the luminosity in watts and in solar luminosities so you can compare it to our own star. Preset stars are one click away. It all computes in your browser.

How to use Stellar Luminosity Calculator

  1. Enter the star radius in meters or solar radii.
  2. Enter its surface temperature in kelvin.
  3. Read the luminosity in watts and in solar luminosities.

Frequently asked questions

What law does this luminosity calculator use?

It applies the Stefan-Boltzmann law, so luminosity scales with radius squared times temperature to the fourth power, capturing both how big and how hot a star is.

Why does temperature matter so much?

Because temperature enters to the fourth power, a modest rise in surface temperature raises output steeply, so a hot star can far outshine a cooler star of the same size.

What units does it report?

It gives the total energy output in watts and as a multiple of the Sun luminosity, so you can compare a star directly to our own.

What is Stellar Luminosity Calculator?

A star luminosity is the total power it radiates in every direction, and the Stefan-Boltzmann law ties it neatly to just two things: how big the star is and how hot its surface is. Luminosity equals four pi times the radius squared, times the Stefan-Boltzmann constant, times the temperature to the fourth power.

Is Stellar Luminosity Calculator free to use?

Yes. Stellar Luminosity Calculator is completely free, with no sign-up and no usage limits.

Does Stellar Luminosity Calculator work in a web browser?

Yes. Stellar Luminosity Calculator runs in any modern web browser. There is nothing to download or install.

Is my data private with Stellar Luminosity Calculator?

Yes. Stellar Luminosity Calculator runs entirely on your device in your browser, so nothing you enter is uploaded to a server.

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