by Chris Peterson » Sat Jan 31, 2009 4:34 am
apodman wrote:Sol is magnitude 11+ at about 600 ly, making it impossible for the naked eye but an easy object with a medium telescope in the clear dark skies of Xqsrpsb.
Here's a real easy way to do the problem. The absolute magnitude of a star is its magnitude normalized for a distance of 10 parsecs. For Betelgeuse that value is -5.14, for the Sun it is 4.83. The difference is 9.97 magnitudes. Add that to the apparent magnitude of Betelgeuse, 0.58 (or so- the star is variable), to get the apparent magnitude of the Sun from there: 10.6.
A little more work, Betelgeuse is 200 parsecs away, which is 20 times 10 parsecs. So from there, the Sun would be 20^2, or 400 times dimmer than its absolute magnitude. A factor of 400 is 6.5 magnitudes, plus the apparent magnitude of 4.83, is 11.3.
[quote="apodman"]Sol is magnitude 11+ at about 600 ly, making it impossible for the naked eye but an easy object with a medium telescope in the clear dark skies of Xqsrpsb.[/quote]
Here's a real easy way to do the problem. The absolute magnitude of a star is its magnitude normalized for a distance of 10 parsecs. For Betelgeuse that value is -5.14, for the Sun it is 4.83. The difference is 9.97 magnitudes. Add that to the apparent magnitude of Betelgeuse, 0.58 (or so- the star is variable), to get the apparent magnitude of the Sun from there: 10.6.
A little more work, Betelgeuse is 200 parsecs away, which is 20 times 10 parsecs. So from there, the Sun would be 20^2, or 400 times dimmer than its absolute magnitude. A factor of 400 is 6.5 magnitudes, plus the apparent magnitude of 4.83, is 11.3.