  We find a class of approximate perturbative solutions describing
multi-centered BPS black holes in asymptotically AdS$_4$. These black holes are
moving coplanarly in a circular orbit with common radius but fixed phase
differences, where the radius is characterized by a common boost velocity $v$.
While the solutions are not complete, as they are only accurate up to
$\mathcal{O}(M^2v^2)$, we are able to locally investigate their supersymmetric
properties in four-dimensional $\mathcal{N} = 2$ supergravity. The result
indicates that, while a single BPS black hole preserves half of the
supersymmetries, a configuration with two or more black holes is only 1/4 BPS.
These perturbative solutions reduce in the asymptotically Minkowski limit to
the multi-black hole solution of Majumdar and Papapetrou.
