  Many previous works have shown the relevance and dynamics of Jovian mean
motion resonances (MMR) in various meteoroid streams. These resonant swarms are
known to have produced spectacular meteor displays in the past. In this work we
investigate whether any MMR due to Saturn are feasible, and subsequently check
whether such effects are strong enough to trap meteoroids so as to cause
enhanced meteor phenomena on Earth. Extensive numerical simulations are done on
two major meteoroid streams, which are known to exhibit exterior Jovian
resonances. The roles of the 1:6 and 5:14 Jovian MMR have already been studied
in the Orionids and Leonids respectively. Now we find strong evidence of 1:3
and 8:9 Saturnian MMR in Orionids and Leonids respectively. The presence of
compact dust trails in real space due to these two Saturnian resonances is
confirmed from our calculations.
