Free Luminosity Calculator

Calculate the luminosity of a star from its flux and distance using L = 4 pi d^2 F.

W/m²
m

Luminosity

382,764,080,942,341,600,000,000,000.000 W

In Solar Luminosities0.9999 L_sun

Luminosity vs Observed Flux

Luminosity from Flux and Distance

Luminosity is the total power output of a star. If we measure the flux (power per unit area) at a known distance:

L = 4π d² F

The Sun's luminosity is 3.828 × 10²⁶ W, and its flux at 1 AU is about 1361 W/m² (the solar constant).

Example Calculation

The Sun: flux = 1361 W/m² at 1 AU (1.496e11 m).

  1. 01L = 4π d² F
  2. 02d² = (1.496e11)² = 2.238e22
  3. 034π d² = 2.812e23 m²
  4. 04L = 2.812e23 × 1361 = 3.827e26 W ≈ 1.0 L_sun

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