There is a way in which Star One could have been provided with staff, equipment etc without it being 'discovered' to be such.
If the complex were designated, and also served as, 'Hubble Intergalactic Observatory No 1' (or equivalent) supply ships could be sent regularly without anyone becoming suspicious as to why a base existed 'in the middle of nowhere.'
This might also explain how the planet 'Horizon' was discovered - the Federation was looking for an intermediary stop, and the discovery of Monopasium 239 was a fortunate accident.
Jacqui
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