A gyro-field-boundary closure scan varies magnetic field across rows and checks whether the gyro radius or frequency closes inside the stated boundary. The arithmetic is exact only for the stated charge, mass, speed, field values, gyro quantities, and rows in the ideal uniform-field plasma model. Real plasmas add collisions, nonuniform fields, distribution functions, boundary/sheath effects, calibration, finite precision, and measurement uncertainty.
Gyro radius, force, and turn rate are scanned across a wide field range. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
The checked field closes radius and force together
With charge two coulombs, speed three meters per second, mass eight kilograms, and field two tesla, the radius is six meters.
r=212=6m
A wide field scan exposes the fractional edge
The same charge, speed, and mass stay fixed. At eight tesla the radius becomes three halves of a meter while force and turn rate rise.
B128r12623qvB61248Ω41212
Tighter radius is paid for by larger magnetic force
The table keeps both sides of the force balance visible: qvB rises with field while the required circular radius falls.