Atmospheric Science

The Physics of Weather, Climate, and Planetary Atmospheres

Course Overview

Atmospheric science is the study of Earth's atmosphere and its processes, including weather, climate, and air quality. This interdisciplinary field combines physics, chemistry, and mathematics to understand atmospheric phenomena from local weather to global climate change.

100 km

Atmosphere Height

5.15ร—10ยนโธ

kg Total Mass

78%

Nitrogen (Nโ‚‚)

21%

Oxygen (Oโ‚‚)

Atmospheric Layers

๐ŸŒก๏ธ Troposphere (0-12 km)

Contains 80% of atmospheric mass. All weather occurs here. Temperature decreases with altitude (~6.5ยฐC/km). Ends at the tropopause.

๐Ÿ›ก๏ธ Stratosphere (12-50 km)

Contains the ozone layer. Temperature increases with altitude due to UV absorption. Very stable with little vertical mixing.

โ˜„๏ธ Mesosphere (50-85 km)

Temperature decreases with altitude. Meteors burn up here. Coldest temperatures in atmosphere (~-90ยฐC at mesopause).

โšก Thermosphere (85-600 km)

Temperature increases dramatically due to solar radiation absorption. Contains ionosphere. Aurora occur here.

Course Contents

Key Equations

Ideal Gas Law

$$p = \rho R_d T$$

Pressure, density, gas constant, temperature

Hydrostatic Equation

$$\frac{\partial p}{\partial z} = -\rho g$$

Pressure decreases with altitude

Geostrophic Wind

$$\vec{V}_g = \frac{1}{\rho f}\hat{k} \times \nabla p$$

Balance of Coriolis and pressure gradient

First Law of Thermodynamics

$$c_p dT - \frac{1}{\rho}dp = dQ$$

Energy conservation in the atmosphere

Prerequisites

Physics

  • โ€ข Classical mechanics
  • โ€ข Thermodynamics
  • โ€ข Fluid dynamics basics

Mathematics

  • โ€ข Calculus (multivariable)
  • โ€ข Differential equations
  • โ€ข Vector calculus

Chemistry

  • โ€ข General chemistry
  • โ€ข Photochemistry basics
  • โ€ข Chemical kinetics