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