Calculateur de Durée de Vie sur la Séquence Principale — Formule
## Main-Sequence Lifetime
More massive stars burn through their hydrogen fuel much faster because luminosity rises steeply with mass.
### Approximate Formula
**t ≈ 10¹⁰ × (M/M_sun)^(-2.5) years**
This comes from t ∝ M/L and the mass-luminosity relation L ∝ M^3.5 for main-sequence stars.
More massive stars burn through their hydrogen fuel much faster because luminosity rises steeply with mass.
### Approximate Formula
**t ≈ 10¹⁰ × (M/M_sun)^(-2.5) years**
This comes from t ∝ M/L and the mass-luminosity relation L ∝ M^3.5 for main-sequence stars.
Exemple Résolu
A star with 2 solar masses.
- t = 10^10 × 2^(-2.5)
- 2^(-2.5) = 1/√(2^5) = 1/√32 = 0.1768
- t = 10^10 × 0.1768 ≈ 1.77 Gyr
- About 1.77 billion years on the main sequence.