  Supersymmetric zero-brane and one-brane probes in the squashed $AdS_2\times
S^3$ near-horizon geometry of the BMPV black hole are studied. Supersymmetric
zero-brane probes stabilized by orbital angular momentum on the $S^3$ are found
and shown to saturate a BPS bound. We also find supersymmetric one-brane probes
which have momentum and winding around a $U(1)_L\times U(1)_R$ torus in the
$S^3$ and in some cases are static.
