4.11.3. The rate of the gain in energy and rigidity for the mechanism of acceleration by magnetic pumping

Let the duration of total cycle of magnetic field variations be

The mean rate of the gain in the kinetic energy (in the non-relativistic case), rigidity, and total energy will then be, considering Eq. 4.11.9, 4.11.10, and 4.11.8 respectively:

2H1 2H

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