Planet Surface Temperature Rechner — Formel
## 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.
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.
Lösungsbeispiel
Earth-like planet: L = 3.828e26 W, A = 0.3, d = 1.496e11 m.
- T = [L(1-A) / (16 pi sigma d squared)]^0.25
- Numerator = 3.828e26 * 0.7 = 2.680e26
- Denominator = 16 * pi * 5.67e-8 * (1.496e11)^2 = 6.39e16
- Ratio = 4.194e9
- T = (4.194e9)^0.25 = 254.5 K = -18.6 C