  We investigate the motion of a test particle in higher dimensions due to the
presence of extended sources like D$p$-branes by studying the motion in the
transverse space of the brane. This is contrasted with the motion of a point
particle in the Schwarzschild background in higher dimensions. Since
D$p$-branes are specific to 10-dimensional space time and exact solutions of
geodesic equations for this particular space time has not been possible so far
for the Schwarzschild background, we focus here to find the leading order
solution of the geodesic equation (for motion of light rays). This enables us
to compute the bending of light in both the backgrounds. We show that contrary
to the well known result of no noncircular bound orbits for a massive particle,
in Schwarzschild background, for $d\geq 5$, the $Dp$-brane background does
allow bound elliptic motion only for $p = 6$ and the perihelion of the ellipse
regresses instead of advancement. We also find that circular orbits for photon
are allowed only for $p\le 3$.
