Magnetosphere

Plasma Physics · Part 7

287 KB8 sections4 key equationsLaTeX typeset

Table of Contents

  1. 1.2.1 The Geomagnetic Dipole
  2. 2.2.2 The Magnetopause: Chapman–Ferraro Model
  3. 3.2.3 The Bow Shock
  4. 4.2.4 Magnetic Reconnection at the Magnetopause
  5. 5.2.5 The Dungey Cycle
  6. 6.2.6 The Magnetotail
  7. 7.2.7 Radiation Belts & Trapped Particles
  8. 8.2.8 Magnetospheric Substorms

Key Equations

$$B_r = -\frac{2\mu_0 M_E}{4\pi r^3}\cos\theta, \qquad B_\theta = -\frac{\mu_0 M_E}{4\pi r^3}\sin\theta$$
$$\left[\rho v_n^2 + p + \frac{B_t^2}{2\mu_0}\right] = 0 \qquad \text{(normal momentum)}$$
$$v_{in}^2 = \frac{v_A \eta}{L} \quad \Rightarrow \quad \boxed{\frac{v_{in}}{v_A} = \frac{1}{\sqrt{R_m}} = \frac{1}{\sqrt{S}}}$$
$$J_y = \frac{1}{\mu_0}\frac{dB_x}{dz} = \frac{B_0}{\mu_0 \delta}\text{sech}^2\left(\frac{z}{\delta}\right)$$

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...