Magnetic Mirror Calculator

Calculate magnetic mirror confinement and particle trapping

About Magnetic Mirrors

Magnetic mirrors confine charged particles using converging magnetic field lines. Particles with sufficient perpendicular velocity are reflected, while those in the "loss cone" escape along field lines.

Key Formulas:

  • sin²αL = Bmin/Bmax = 1/R (loss cone)
  • μ = mv⊥²/(2B) = const (adiabatic invariant)
  • sin²α ∝ B (pitch angle evolution)

Examples:

  • Earth's Van Allen belts (R ~ 2-5)
  • Mirror fusion machines
  • Solar magnetic loops