Luca Biasco, Luigi Chierchia, Enrico Valdinoci $N$-dimensional invariant tori for the planar $(N+1)$-body problem (103K, LaTeX 2.09) ABSTRACT. For any $N\geq 2$ we prove the existence of quasi--periodic orbits lying on $N$--dimensional invariant elliptic tori for the planetary planar $(N+1)$--body problem. For concreteness, we focus on a caricature of the outer solar system.