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Tidal streams and stellar shells are naturally formed in galaxy interactionsand mergers. The Giant Stellar Stream (GSS), the North-East (NE), and Western(W) stellar shelves observed in Andromeda galaxy (M31) are examples of thesestructures and were formed through the merger of M31 and a satellite galaxy.Recent observational papers have provided strong evidence that the shells andGSS originate from a single progenitor. In this paper, we investigate theformation of these two stellar shelves and the detailed nature of theirrelationship to the GSS. We present numerical simulations of tidal disruptionof a satellite galaxy assuming that it is a progenitor of the GSS and the shellsystem. We represent the progenitor as a dwarf spheroidal galaxy with thestellar mass of $10^{9} M_{\odot}$ and evolve its merger with M31 for 3 Gyrs toreproduce the chemodynamical properties of the NE and W shelves. We find thatan initial metallicity of the progenitor with a negative radial gradient of$\Delta$ FeH = -0.3 $\pm$ 0.2, successfully reproduces observed metallicitiesof the NE, W shelves, and the GSS, showing that all these structures canoriginate from the same merger event.

The origin of the metallicity distributions of the NE and W stellar shelves in the Andromeda Galaxy