Calculadora de Temperatura Superficial Planetária
Calcule a temperatura superficial de planetas com base na radiação estelar.
Temperatura Efetiva
254.59 K
Effective Temperature vs Star Luminosity
Formula
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)
This neglects the greenhouse effect, which can raise the actual surface temperature significantly.
Exemplo Resolvido
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
Perguntas Frequentes
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.