
Originally Posted by
cmind
This is clearly wrong... our naked eyes get better resolution than that! 5*10^15 m is about 0.5 lightyears. At 600 ly distance, this would correspond to an angular diameter of about 0.048 degrees, or about 2.9' (arcminutes). Wikipedia lists the average nighttime human eye resolution as 3', but in the daytime that rises to 2' for 20/20 vision, and 1.2' for the best human. So your calculation got wonky somewhere. I'll attempt it:
The moon is ~3.97x10^8 m away. 1 m at that distance corresponds to an angular resolution of arctan(1/3.97e8) = 2.51e-9 degrees. This is about a million times sharper than the eye.
At 600 ly, this would give 1.51e-6 ly, or about 1.4e7 km (14,000,000 km). This is similar to the orbital radius of mercury (same order of magnitude, anyway).
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