  Numerical simulations of the dynamical friction suffered by a star cluster
near the Galactic center have been performed with a parallelized tree code.
Gerhard (2001) has suggested that dynamical friction, which causes a cluster to
lose orbital energy and spiral in towards the galactic center, may explain the
presence of a cluster of very young stars in the central parsec, where star
formation might be prohibitively difficult owing to strong tidal forces. The
clusters modeled in our simulations have an initial total mass of 10^5-10^6
Msun and initial galactocentric radii of 2.5-30 pc. We have identified a few
simulations in which dynamical friction indeed brings a cluster to the central
parsec, although this is only possible if the cluster is either very massive
(~10^6 Msun), or is formed near the central parsec (<~ 5 pc). In both cases,
the cluster should have an initially very dense core (> 10^6 Msun pc-3). The
initial core collapse and segregation of massive stars into the cluster core,
which typically happens on a much shorter time scale than that characterizing
the dynamical inspiral of the cluster toward the Galactic center, can provide
the requisite high density. Furthermore, because it is the cluster core which
is most likely to survive the cluster disintegration during its journey
inwards, this can help account for the observed distribution of presumably
massive HeI stars in the central parsec.
