Aurora

Plasma Physics · Part 7

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Table of Contents

  1. 1.3.1 Field-Aligned Currents (Birkeland Currents)
  2. 2.3.2 The Knight Relation
  3. 3.3.3 Auroral Emission Physics
  4. 4.3.4 Ionospheric Electrodynamics
  5. 5.3.5 Auroral Substorm Dynamics

Key Equations

$$\frac{\partial j_\parallel}{\partial s} + \nabla_\perp \cdot \mathbf{j}_\perp = 0$$
$$\frac{1}{2}m_e v_{\parallel,i}^2 + \frac{1}{2}m_e v_{\perp,i}^2 = \frac{1}{2}m_e v_{\parallel,m}^2 + \frac{1}{2}m_e v_{\perp,m}^2 + e\Phi_\parallel$$
$$R(E_0) = \frac{4.57 \times 10^{-6}}{E_0^{-1.75}}\;\text{kg/m}^2$$
$$v_{ix} = \frac{eE_x}{m_i\nu_{in}} \cdot \frac{\nu_{in}^2}{\nu_{in}^2 + \Omega_i^2} + \frac{eE_y}{m_i\nu_{in}} \cdot \frac{\Omega_i\nu_{in}}{\nu_{in}^2 + \Omega_i^2}$$

Equations are rendered with MathJax in the PDF with professional LaTeX typesetting.

Course Context

This PDF is part of the Plasma Physics course on CoursesHub.World. Comprehensive study of the fourth state of matter. Covers single-particle motion, kinetic theory, MHD, waves and instabilities, collisional processes, magnetic and inertial confinement fusion, space a...

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