Plasma pp 74-75 | Cite as

Conservation of Magnetic Moment

  • D. A. Frank-Kamenetskii


An approximate method for describing the motion of charged particles in a magnetic field as a combination of cyclotron gyration and drift motion is called the adiabatic or drift approximation. In the adiabatic approximation certain quantities can be assumed to be conserved. These quantities are called adiabatic invariants. One of these is the angular momentum Mvr. The angular momentum of the cyclotron gyration is obtained if we substitute the cyclotron radius rc for r:
$$Mv{r_c} = \frac{{M{v^2}}}{{{\omega _c}}} = \frac{{{M^2}{v^2}}}{{Ze\,B}}.$$

Copyright information

© Plenum Press, New York 1972

Authors and Affiliations

  • D. A. Frank-Kamenetskii
    • 1
  1. 1.Kurchatov Institute of Atomic EnergyAcademy of Sciences of the USSRMoscowRussia

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