Calculateur de Température de Surface Planétaire
Calculez la température de surface d'une planète.
Température effective
254.59 K
Effective Temperature vs Star Luminosity
Formule
## Estimating a Planet's Surface Temperature By balancing the incoming stellar radiation with the outgoing thermal emission, we get the equilibrium temperature. ### Formula **T = [ L (1 - A) / (16 pi sigma d squared) ]^(1/4)** - *L* = stellar luminosity - *A* = bond albedo (fraction reflected) - *sigma* = Stefan-Boltzmann constant 5.67 x 10 to the minus 8 - *d* = orbital distance This neglects the greenhouse effect, which can raise the actual surface temperature significantly.
Exemple Résolu
Earth-like planet: L = 3.828e26 W, A = 0.3, d = 1.496e11 m.
- 01T = [L(1-A) / (16 pi sigma d squared)]^0.25
- 02Numerator = 3.828e26 * 0.7 = 2.680e26
- 03Denominator = 16 * pi * 5.67e-8 * (1.496e11)^2 = 6.39e16
- 04Ratio = 4.194e9
- 05T = (4.194e9)^0.25 = 254.5 K = -18.6 C
Questions Fréquentes
Why is the result for Earth below freezing?
This is the equilibrium temperature without the greenhouse effect. Earth's atmosphere traps heat, raising the actual average surface temperature to about 288 K (15 C).
What is the bond albedo?
The fraction of total incoming radiation that a planet reflects back into space across all wavelengths. Earth's is about 0.30.
Can this formula be used for exoplanets?
Yes, provided you know the host star's luminosity and the planet's orbital distance. The albedo is usually estimated or assumed.