ConverterHub

Solar Luminosity to Watt Converter

Enter a value and pick a direction to convert between solar luminosity and watts.

Result

9.570000e+27 W
1 L☉ = 3.8280e+26 W
25.000000 L☉

How it is calculated

The conversion uses one fixed factor, 1 L☉ = 3.828 × 10²⁶ W (the IAU nominal value). Choosing solar luminosities to watts, the tool computes P = L × 3.828e26. Choosing watts to solar luminosities, it computes L = P ÷ 3.828e26. Watt results are written in scientific notation, where e+27 means × 10²⁷. L☉ results use six decimals when they are between 0.01 and one billion, and scientific notation outside that range, so a tiny wattage appears as 2.612330e-25 L☉ instead of 0.000000. The tool also shows the conversion rate and repeats your input in the other unit. The value must be above zero; zero or negative input shows no result.

Worked example

A star has a luminosity of 25 L☉. Select solar luminosities to watts. The power is 25 × 3.828 × 10²⁶ = 95.7 × 10²⁶ = 9.57 × 10²⁷ W, which the tool prints as 9.570000e+27 W. It also repeats the input as 25.000000 L☉ and the factor used, 1 L☉ = 3.8280e+26 W. In the other direction, entering 1e28 W gives 1e28 ÷ 3.828e26 ≈ 26.123302 L☉.

Try this example →

Common mistakes

  • Reading the exponent wrongly. In 9.570000e+27, the part after e is the power of ten, so the number is 9.57 × 10²⁷, not 9.57 plus 27.
  • Choosing the wrong direction. Entering a wattage while "solar luminosities to watts" is selected multiplies it by 3.828e26 again and gives an absurd answer.
  • Typing a number with its power of ten as separate text. Write 3.828e26 or the full number in the field; writing "3.828 x 10^26" is not read as a number.
  • Expecting everyday wattages to give a handy answer. 100 W is only about 2.6e-25 L☉, so the tool is practical for stellar-scale power, not household devices.
  • Mixing luminosity with brightness seen from Earth. L☉ is the total power a star emits, not the flux (W/m²) that a telescope receives.

About this calculator

Solar luminosity (L☉) is a standard astronomical unit for the total power radiated by a star, defined relative to the Sun’s own output so that stellar and galactic luminosities can be expressed as simple multiples rather than unwieldy raw wattages. The IAU’s adopted nominal value fixes the conversion at 1 L☉ = 3.828 × 10²⁶ watts, a standardized figure (distinct from any single measurement’s uncertainty) that astronomers use so luminosity comparisons stay consistent across papers and datasets.

Because stars span an enormous range of brightness — from red dwarfs radiating a small fraction of a solar luminosity to supergiants radiating hundreds of thousands of times the Sun’s output — astrophysicists routinely quote luminosity in L☉ in stellar catalogs, HR diagrams, and exoplanet habitability calculations, only converting to raw watts (SI units) when comparing against other physical quantities like a planet’s absorbed radiation. This calculator converts between solar luminosity and watts in both directions using the fixed IAU value.

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