  We present a study of planar physical solutions to the Lorentz-Dirac equation
in a constant electromagnetic field. In this case, we reduced the Lorentz-Dirac
equation to the one second order differential equation. We obtained the
asymptotics of physical solutions to this equation at large proper times. It
turns out that, in the crossed constant uniform electromagnetic field with
vanishing invariants, a charged particle goes to a universal regime at large
times. We found the ratio of momentum components which tends to a constant
determined only by the external field. This effect is essentially due to a
radiation reaction. There is not such an effect for the Lorentz equation in
this field.
