I had a morale resource near my starting worlds, and when I built a mining starbase on it, it had an area of affect, like a standard starbase.
My secondary world was within this area, and seemed to be reaping its benifits, whereas my capital was not, and had a much lower aproval rating (95-100% for mars, 60-65 for Earth). Earth had an entertainment complex, mars did not.
EDIT: Playing the 1.3b beta, by the by.