  With the use of numerical models, we investigate whether Mean Motion
Resonances (MMR) with nearby moons to the J1407b ring system were the cause of
the observed 0.0267AU wide gap located at 0.4AU. Only one location of a moon at
0.63AU (corresponding to a 2:1 MMR) was found to form a gap at 0.4AU over short
time periods of less than 100yr. However, the proximity of a low mass moon
(0.08 Earth masses) caused significant scattering of the outer ring edge at
0.6AU, along with the formation of an additional gap at the 3:2 MMR (0.485 AU),
which is not consistent with observations. Further models with moons located at
MMR 3:1, 4:1, 7:3 and 5:3 failed to form gaps at 0.4AU for time periods less
than 100yr. Instead, gaps were formed in the ring at 3:2 and 2:1 MMR which
resulted in gaps at radial locations between 0.44-0.56AU. Additionally, gaps
also take longer than one orbital period of J1407b about the primary to form.
Given that J1407b is on a highly eccentric orbit and is thought to strongly
perturb the ring at apocentre it appears unlikely that gaps form due to MMR
with nearby moons as opposed to embedded moons. Including an appropriate total
mass of the ring equal to Earth a dampening effect was witnessed on the gap
formation process, causing an increase in the time required to open a gap due
to MMR. Therefore, we conclude the observed gap at 0.4 AU is unlikely to be
caused by MMR with nearby moons.
