  In this paper, we construct an intra-galactic thin shell wormhole joining two
copies of identical galactic space times described by the Mannheim-Kazanas de
Sitter solution in conformal gravity and study its stability under spherical
perturbations. We assume the thin shell material as a Chaplygin gas and discuss
in detail the values of the relevant parameters under which the wormhole is
stable. We study the stability following the method by Eiroa and we also
qualitatively analyze the dynamics through the method of Weierstrass. We find
that the wormhole is generally unstable but there is a small interval in radius
for which the wormhole is stable.
