---
date: '2024-02-26'
description: greenhouse effect toy model relating surface temperature to atmospheric layers through radiative equilibrium.
id: Heating Cooling GH effect
modified: 2026-06-05 15:08:33 GMT-04:00
tags:
  - astron2e03
title: Heating, Cooling, and the Greenhouse Effect
created: '2024-02-26'
published: '2024-02-26'
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slug: thoughts/university/twenty-three-twenty-four/astron-2e03/Heating-Cooling-GH-effect
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---
Ref: [[thoughts/university/twenty-three-twenty-four/astron-2e03/06_HeatingCooling_GHeffect_2024.pdf|slides]]

### toy modal.

eq: $T_{\text{surf}} ~ 1.32 \times T_{\text{atm, 2}}$

> \[!note\] General form of `T_{\text{surf}}` with `n` atmospheric layers
>
> $$
> T_{\text{surf}} = {\lbrack \frac{(n+1)S}{\omega} \rbrack}^{\frac{1}{4}} = (n+1)^{\frac{1}{4}} \times T_{\text{atm, n}}
> $$