  We prove the existence of relative periodic solutions of the planar
$N=\sum_{j=1}^n k_j$-body problem starting with $n$ bodies moving close to a
non-degenerate central configuration and replacing each of them with clusters
of $k_j$ bodies that move close to a small central configuration. We name these
solutions carousel solutions. The proof relies on blow-up techniques for
variational methods used in our previous work.
