Particle Gyroradius Calculator

Calculate Larmor radius and cyclotron motion of charged particles

About Particle Gyration

Charged particles in a magnetic field follow helical paths, spiraling around field lines. The gyroradius determines the scale of this motion and is fundamental to plasma physics and particle accelerators.

Key Formulas:

  • rL = γmv⊥/(qB) = p⊥/(qB) (relativistic gyroradius)
  • ωc = qB/(γm) (relativistic cyclotron frequency)
  • Bρ = p/q (magnetic rigidity)

Applications:

  • Cyclotrons and synchrotrons
  • Magnetic confinement fusion
  • Van Allen radiation belts
  • Mass spectrometry
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Editorial Note

MyCalcBuddy Editorial Team

This page is maintained as an educational calculator reference.

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Formula Source: University Physics

by Young & Freedman

🔄Last reviewed: May 2026
✓Formula checks are based on standard references and internal QA review.