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Stellar physics · L = 4π R² σ T⁴

Stellar Luminosity (Stefan–Boltzmann)

A star's total power output, from its radius and surface temperature by the Stefan–Boltzmann law. Doubling the temperature raises luminosity sixteenfold.

Luminosity1L☉

Formula: L = 4π R² σ T⁴

Worked example

With the default inputs, stellar luminosity (stefan–boltzmann) evaluates to 1 L☉ — Sun (1 R☉, 5772 K) → 1 L☉. The validator recomputes this against the known value on every build, so the formula is checked, not asserted.

Highlights

  • Sun: 1 L☉

Knowledge connections

Sources

The primary and reference sources this topic draws on.

  • NASANational Aeronautics and Space Administration

    Mission data, planetary science, space telescopes, and public-domain imagery.

    Most NASA-produced imagery is in the public domain; individual items are checked for usage terms before publication.