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gyroradius

n. (context physics English) The radius of the circular motion of a charged particle in the presence of a uniform magnetic field.

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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 gyroradius is given by


$$r_{g} = \frac{m v_{\perp}}{|q| B}$$
where m is the mass of the particle, v 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 strength of the magnetic field.

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.