  In 1892 H.A. Lorentz started the search for a classical equation of motion
for pointlike charged particles that takes into account the radiation reaction
force. This search culminated in the Lorentz-Abraham-Dirac equation of motion,
which is not satisfactory since it exhibits self-acceleration causing runaway
solutions. In spite of ongoing efforts for more than a century, there is yet no
acceptable classical equation of motion for a pointlike charge, cf. the recent
paper by Rohrlich and the comments about his proposal. So, it is still an open
question how to augment continuous classical electrodynamics with the physical
concept of pointlike charged particles. The pointlike charge is presently only
a common and handy computational device, which we generalized by the expansions
in terms of co-moving moments of time-dependent, moving charges and currents.
