How do we map topology?

Since H =Total Energy= K.E. + P.E then we can write H = mB + qU for this region, where U is the electrostatic potential, B is magnetic field.
Then all trapped orbits conserve H, and contour maps of H delimit the trapping regions.
Once we have a model for (B, U) all the energies can be analyzed for trapping by adjusting m.
This mapping transformation with GUI at:
- ../../UBK/

Since H =Total Energy= K.E. + P.E then we can write H = mB + qU for this region, where U is the electrostatic potential, B is magnetic field.