01The calculation
For kinetic energy T and rest energy mc² = 0.9382720813 GeV, proton momentum pc = √[T(T + 2mc²)] in GeV. Magnetic rigidity Bρ = p / 0.299792458 in T·m for a singly charged proton. Radius ρ = Bρ/B assumes velocity perpendicular to a uniform magnetic field.
02Read the limits
A smaller radius does not directly imply a specified dose reduction. The tool omits real coil geometry, particle directions, material interactions, secondary radiation, angular acceptance and exposure time. It cannot size a protective envelope or determine crew safety.
03How this informs the next model
Use the scale to select numerical domains and benchmark a trajectory solver. The next engineering model must integrate trajectories through a computed three-dimensional field and then perform radiation transport. Do not interpret a chosen field value as an achievable ARLO operating point.