We investigate the natural families of periodic orbits associated with the equilibrium configurations of the the planar restricted 1 + n body problem for the case 2 \leq n \leq 4 equal mass satellites .
Such periodic orbits can be used to model both trojan exoplanetary systems and parking orbits for captured asteroids within the solar system .
For n = 2 there are two families of periodic orbits associated with the equilibria of the system : the well known horseshoe and tadpole orbits .
For n = 3 there are three families that emanate from the equilibrium configurations of the satellites , while for n = 4 there are six such families as well as numerous additional connecting families .
The families of periodic orbits are all of the horseshoe or tadpole type , and several have regions of neutral linear stability .