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The effect of an electrostatic field on the mirror altitudes of charged particles is calculated under the assumption that the magnetic field lines are equipotentials and that the electric field drift velocities are small compared with the particle velocities. It is found that the effect of the electric field on the mirror altitudes of charged particles can be presented as a function of the geocentric distance of the particle in the equatorial plane independent of the explicit form of the electric field. The results of the computation are summarized in two graphs. It is also shown that the presence of a transverse electrostatic field does not affect the longitudinal invariant.
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Daniel W. Swift (1965) studied this question.
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