We consider a slender particle of straight centre-line (the line to which i
t collapses as its slenderness ratio is an element of vanishes) and of poss
ibly non-uniform zeta potential. The body, not necessarily of circular cros
s-section, is embedded in a given electric field of revolution about the ce
ntre-line. Under those assumptions, this work asymptotically approximates,
with respect to is an element of, the electrophoretic motion of the particl
e. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsev
ier SAS.