  Recently Kipping (2021) identified the so-called "exomoon corridor", a
potentially powerful new tool for identifying possible exomoon hosts, enabled
by the observation that fully half of all planets hosting an exomoon will
exhibit transit timing variation (TTV) periodicities of 2-4 epochs. One key
outstanding problem in the search for exomoons, however, is the question of how
well the methods we have developed under the single moon assumption extend to
systems with multiple moons. In this work we use $N$-body simulations to
examine the exomoon corridor effect in the more general case of $N \geq 1$
moons, generating realistic TTVs produced by satellite systems more akin to
those seen in the outer Solar System. We find that indeed the relationship does
hold for systems with up to 5 moons in both resonant and non-resonant chain
configurations. Our results suggest an observational bias against finding
systems with large numbers of massive moons; as the number of moons increases,
total satellite mass ratios are generally required to be significantly lower in
order to maintain stability, or architectures must be more finely tuned to
survive. Moons produced in impact or capture scenarios may therefore dominate
early detections. Finally, we examine the distribution of TTV periods measured
for a large number of Kepler Objects of Interest (KOIs) and find the same
characteristic exomoon corridor distribution in several cases. This could be
dynamical evidence for an abundance of moons in the field, though we caution
against strong inferences based on this result.
