The star is not only tiny, it's not there. It's a point light source. You did get to see it from up close after a game crash where your ship would spawn at the [0,0] coordinates which is precisely there.Its not that simple.
Planets are 1/10th. Moons are (i think) 1/6th, and the sun is tiny compared to what it should be.
TBH I did not notice that as distances seem scaled properly according to everything else, and you travel across at warp speed anyway. Distances to moons seem OK to me as they appear in the planet sky as you would expect. That aspect is definitely not as disturbing as the complete absence of proper gravity once you leave atmo for example (so as a result things "in orbit" are just stationary relative to the surface, even when in "low orbit", I use quotes here because nothing is orbiting nothing in SC)Distances between planets/orbits (that don't orbit) are well below what they should be.
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