Re: "... and the months and years tick by"
Sorry but I can't resist commenting. Simple physics peeps. Gravitational force is GM1M2/distance squared where G is a constant and M1 and M2 are the masses in question. Since F = ma then if you put this through the wringer what you get is, as demonstrated by NASA on the moon, a feather falls as fast as a rock. So your space station's acceleration towards the sun due to gravity would be the same as earths given the same distance from it.