Gyroradius

The gyroradius (also known as radius of gyration, Larmor radius or cyclotron radius) is the radius of the circular motion of a charged particle in the presence of a uniform magnetic field. In SI units, the non-relativistic gyroradius is given by $r_{g}={\frac {mv_{\perp }}{|q|B}}$ where $m$ is the mass of the particle, $v_{\perp }$ is the component of the velocity perpendicular to the direction of the magnetic field, $q$ is the electric charge of the particle, and $B$ is the magnetic field flux density.^[1]

The angular frequency of this circular motion is known as the gyrofrequency, or cyclotron frequency, and can be expressed as $\omega _{g}={\frac {|q|B}{m}}$ in units of radians/second.^[1]

^ ^a ^b Chen, Francis F. (1983). Introduction to Plasma Physics and Controlled Fusion, Vol. 1: Plasma Physics, 2nd ed. New York, NY USA: Plenum Press. p. 20. ISBN 978-0-306-41332-2.

[Chen-1] Chen, Francis F. (1983). Introduction to Plasma Physics and Controlled Fusion, Vol. 1: Plasma Physics, 2nd ed. New York, NY USA: Plenum Press. p. 20. ISBN 978-0-306-41332-2.

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