  In this work we investigate the possibility of transporting material to the
NEO region via the 8:3 MMR with Jupiter, potentially even material released
from the dwarf planet Ceres. By applying the FLI map method to the 8:3 MMR
region in the orbital plane of Ceres, we were able to distinguish between
stable and unstable orbits. Subsequently, based on the FLI maps (for mean
anomaly $M=60^\circ$ and also $M=30^\circ$), 500 of the most stable and 500 of
the most unstable particles were integrated for $15\,Myr$ for each map.
Long-term integration in the case of $M=60^\circ$ showed that most of the
stable particles evolved, in general, in uneventful ways with only 0.8\% of
particles reaching the limit of q $\leq$ 1.3 $AU$. However, in the case of
$M=30^\circ$, a stable evolution was not confirmed. Over 40\% of particles
reached orbits with q $\leq$ 1.3 $AU$ and numerous particles were ejected to
hyperbolic orbits or orbits with a > 100 $AU$. The results for stable particles
indicate that short-term FLI maps are more suitable for finding chaotic orbits,
than for detecting the stable ones. A rough estimate shows that it is possible
for material released from Ceres to get to the region of 8:3 MMR with Jupiter.
A long-term integration of unstable particles in both cases showed that
transportation of material via 8:3 MMR close to the Earth is possible.
