I notice everyone seems to say Betelgeuse once it explodes will be 3rd brightest before the moon, and the sun. But everyone seems to miss a key component in history in regards to SN 1006 and the explosion in the year 1006 AD. It's about 7200 light years away, and when it exploded as a supernova, it was nearly as bright as the moon.
So if that was nearly as bright as the moon. How can Betelgeuse be just as bright? Its nearly 6600 light years closer to us. And further more we aren't completely sure how close it is, it can be between 400-700 light years away, but seems the consensus on about 600 light years away approximately.
Lets pretend each 100 light years = 1 inch. Draw out 72 inches as the radius, and imagine that as a sphere.
Now imagine another one, draw it out as 6 inches. And imagine that as a sphere. The volume difference between the two is quite massive.
The Inverse Square Lawhttps://www.e-education.psu.edu/astro801/content/l4_p4.htmlWolframalpha((3.9 * 10^26 W)) / (4 π (1.5 * 10^11 m)^2)
This equates a normal amount that the earth receives from the sun is
1379 W/m^2 (watts per square meter)So lets plug in the following numbers:
A supernova can output 10^44 joules - (Assuming Betelgeuse is 640 light years = 6.055e+18 M)
((3.9 * 10^44 W)) / (And the distance between earth and Betelgeuse: ~6 * 10^18 m)^2)
Wolframalpha((3.9 * 10^44 W)) / (4 π (6 * 10^18 m)^2)
Yields a result of:
862,089 W/m^2 (watts per square meter)That means the energy received by the surface of Earth will be ~800-1000X as much as from the sun.
So again, why does everyone seem to acknowledge if Betelgeuse goes supernova it being dimmer then the moon, when the one over 7000 light years in the year 1006 was almost as bright as the moon?
To get an idea on how large Betelgeuse is, watch:
https://www.youtube.com/watch?v=GoW8Tf7hTGA&t=10s - Watch from 0 to 2 Min 45 seconds to get an idea
Betelgeuse Magnitude:https://www.newscientist.com/article/dn17282-betelgeuse-the-incredible-shrinking-star/ - "But a new study suggests the giant star has been shrinking for more than a decade. Betelgeuse is nearing the end of its life as a red supergiant. The bright, bloated star is 15 to 20 times more massive than the sun. ... New observations indicate the giant star has shrunk by more than 15 per cent since 1993"