Suppose Earth's surface temperature is $T_e$ and temperature of the atmosphere is $T_a$. One can account for greenhouse gas effect for Earth's temperature in simple energy balance model in following manner.Īssume that fraction $f$ of longwave radiation emitted by Earth's surface is captured by green house gases in the atmosphere. I'm simply looking for equations that dictate the temperature based on a given/constant composition of the atmosphere. Climate change is more about how the atmospheric composition is changing (namely GHG increases). Please note I'm not really asking about climate change calculations. I'm looking for an equation that takes into account atmospheric composition and probably the rotation rate of Earth (or whatever body), and of course the solar insolation. I'm really hoping someone can shed some light on this.
BLACKBODY RADIATION FRACTION CALCULATOR F HOW TO
I've been searching for how to calculate the warming due to GHGs, but no luck. As a result, the Earth's actual average surface temperature is about 288 K (15 ☌), which is higher than the 255 K effective temperature, and even higher than the 279 K temperature that a black body would have.Īnd there were only 2 cites that only cited the fact that H 2O, CO 2, and CH 4 are greenhouse gases. Since the emissivity with greenhouse effect (weighted more in the longer wavelengths where the Earth radiates) is reduced more than the absorptivity (weighted more in the shorter wavelengths of the Sun's radiation) is reduced, the equilibrium temperature is higher than the simple black-body calculation estimates. However, long-wave radiation from the surface of the earth is partially absorbed and re-radiated back down by greenhouse gases, namely water vapor, carbon dioxide and methane. Then the article basically states what the real values are without presenting any more equations or explaining how to calculate it. Then to account for the albedo of Earth, the effective temperature is calculated at $255 K = −18 ☌ = -0.4 ☏$. It shows how to get a value of $279 K = 6 ☌ = 43 ☏$ for the plain Earth with no atmosphere. What I did find was the Stefan–Boltzmann Law, and that wiki article has good equations about black body radiation.
I've been struggling to find equations that express how many degrees of warming greenhouse gases contribute, given the composition of an atmosphere (and solar insolation).
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