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