  We revisit the construction of multi-centered solutions in three-dimensional
anti-de Sitter gravity in the light of the recently discovered connection
between particle worldlines and classical Virasoro conformal blocks. We focus
on multi-centered solutions which represent the backreaction of point masses
moving on helical geodesics in global AdS$_3$, and argue that their
construction reduces to a problem in Liouville theory on the disk with
Zamolodchikov-Zamolodchikov boundary condition. In order to construct the
solution one needs to solve a certain monodromy problem which we argue is
solved by a vacuum classical conformal block on the sphere in a particular
channel. In this way we construct multi-centered gravity solutions by using
conformal blocks special functions. We show that our solutions represent
left-right asymmetric configurations of operator insertions in the dual CFT. We
also provide a check of our arguments in an example and comment on other types
of solutions.
