I prefer Solar System as a proper name refering to our system orbitting Sol, and stellar system as the generic form. But I guess I don't get the final say.
It's ironic I think that astronomers, the people most abundantly aware how insignificant our little place in the cosmos is, cling to such "terra-centric" nomenclature.
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I used to be somebody but now I am somebody else
Who I'll be tomorrow is anybody's guess