Is it possible to watch Betelgeuse close up (say, from a distance where its diameter is 5 degrees) with the unprotected eye? I did some very quick calculations, and the density near Betelgeuse's fuzzy edge is very low, similar to that of a hydrogen balloon far up in Earth's atmosphere (assuming uniform density, so the density is surely lower), so how much can it really glow?
The sun is about 8*1010 times brighter than Betelgeuse in the sky. But the sun's area is about 3.4*109 times larger in the sky (angular radius 800" vs 0.0275"). So, this should make the Betelgeuse's surface 4% as bright as the sun's.
In the movie Sunshine the computer tells Searle that he will receive permanent eye damage above 3.1% when he wants to look at the sun close up in all its glory. So he asks for 3.1% for 30 seconds. Clearly, it wasn't very healthy.
I guess the answer to my original question is clearly no. Perhaps it's possible to endure the sight for a second with powerful sunglasses. The heat radiation would be intense, though.




