Magnetic mirrors / Fermi acceleration
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(F. F. Chen ~ 2.12, Fermi acceleration of cosmic rays).
A cosmic ray proton is trapped between two moving magnetic mirrors with mirror ratio \(R_m=5\). Initially its energy is \(W=1\) keV and \(v_\perp = v_\parallel\) at the midplane. Each mirror moves toward the midplane with a velocity \(v_m=10\) km/s and the initial distance between the mirrors is \(L=10^{10}\) km.