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NGC147, NGC185 and CassiopeiaII (CassII) have similar positions in the sky,distances and measured line of sight velocities. This proximity in phase spacesuggests that these three satellites of M31 form a subgroup within the LocalGroup. Nevertheless, the differences in their star formation history andinterstellar medium, and the recent discovery of a stellar stream in NGC~147,combined with the lack of tidal features in the other two satellites, are allindications of complex and diverse interactions between M31 and these threesatellites. We use a genetic algorithm to explore the different orbits thatthese satellites can have and select six sets of orbits that could best explainthe observational features of the NGC147, NGC185 and CassII satellites. Theparameters of these orbits are then used as a starting point for N-bodysimulations. We present models for which NGC147, NGC185 and CassII are a boundgroup for a total time of at least one Gyr but still undergo differentinteractions with M31 and as a result NGC147 has a clear stellar stream whereasthe other two satellites have no significant tidal features. This result showsthat it is possible to find solutions that reproduce the contrasting propertiesof the satellites and for which NGC147-NGC185-CassII have been gravitationallybound.

NGC 147, NGC 185 and CassII: a genetic approach to orbital properties, star formation and tidal debris