# AnalyticBridge

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# Math problem for those interested in astronomy

If we were living near the center of our galaxy (the Milky Way) instead of in a remote suburb, would the night sky (illuminated by stars) be as bright as the day sky (illuminated by our sun)?

The density of stars is 100,000 times higher in the center of our galaxy than where we are now. Also, closest stars (nearest neighbors) are about 4 light years away from where we are now, and generate light that is perceived as being 10,000 times fainter than the sun.

Obviously, if we were living in the middle of our galaxy, the closest stars would be much much much closer to us, well below 0.1 light years away from us. My guess is that the sky would be so bright - day and night - there would always be more light than if a small atomic bomb would be exploding 1 mile away from you, every second.

Is this a correct assumption?

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### Replies to This Discussion

Intensity falls off as 1/r^2. So a star 0.1 light years away (or ~50k light minutes away), compared to our sun (~8 light minutes away), is going to be (8/50k)^2 fainter than the sun (assuming they generate roughly the same amount of light).

So you would need (50k/8)^2 stars at 0.1 light years away to have the same intensity. Thats higher than 100k (and almost all of that 100k would be much further away). So I'd guess the night sky would just be more interesting. (some one should check my numbers/logic though, I haven't had my coffee yet this morning).