Relativistic Case
The formula for the gyroradius also holds for relativistic motion. In that case, the velocity and mass of the moving object has to be replaced by the relativistic momentum :
For rule-of-thumb calculations in accelerator and astroparticle physics, the physical quantities can be expressed in proper units, which results in the simple numerical formula
where
-
- is the charge of the moving object in elementary units.
Read more about this topic: Gyroradius
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