  We study the dynamical behavior of a pair of Dp-brane and anti Dp-brane ($0
\leq p \leq 6$) moving parallel to each other in the region where the brane and
anti-brane annihilation will not occur and the low energy description is valid.
Given this, we perform a general analysis, in the center of mass frame, of the
behavior of the effective potential with respect to the relative brane
separation and find that the classical orbits of this system are in general
unbound except for $p = 6$ case for which classical bound orbits exist. The
non-linearity of the low energy DBI action for D-brane is important for the
underlying dynamics. We solve also the explicit orbits for $p = 6$ case.
