Calculateur de Luminosité d'Eddington — Formule
## The Eddington Luminosity
The maximum luminosity where radiation pressure on infalling matter balances gravitational attraction.
### Formula
**L_Edd = 4π G M c / κ**
Using electron-scattering opacity κ ≈ 0.034 m²/kg for ionised hydrogen. For a solar-mass object, L_Edd ≈ 3.3 × 10⁴ L_sun.
Exceeding L_Edd causes radiation-driven mass loss (stellar winds, super-Eddington outbursts).
The maximum luminosity where radiation pressure on infalling matter balances gravitational attraction.
### Formula
**L_Edd = 4π G M c / κ**
Using electron-scattering opacity κ ≈ 0.034 m²/kg for ionised hydrogen. For a solar-mass object, L_Edd ≈ 3.3 × 10⁴ L_sun.
Exceeding L_Edd causes radiation-driven mass loss (stellar winds, super-Eddington outbursts).
Exemple Résolu
A 1-solar-mass object.
- L_Edd = 4π G M c / κ
- = 4π × 6.674e-11 × 1.989e30 × 2.998e8 / 0.034
- Numerator = 4π × 3.979e28 = 4.988e29
- L_Edd = 4.988e29 / 0.034 ≈ 1.47e31 W ≈ 38 300 L_sun