行星表面温度计算器
使用此行星表面温度计算器快速获得准确的计算结果。
有效温度
254.59 K
Effective Temperature vs Star Luminosity
公式
## 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.
计算示例
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
常见问题
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.