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A 3rd magnitude star is brighter than a 5th magnitude star by a factor of 6.25.

Each integer difference of magnitude represents a change in apparent brightness of 2.5 times. Hence, a 3rd magnitude star is 2.5 x 2.5 = 6.25 times brighter than a 5th magnitude star.

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Is a third magnitude star 10 times brighter then a 4th magnitude star?

Absolutely. When speaking of the brightness you see from earth, you are speaking of apparent magnitude. When considering the type of star, it's composition, stage, age, size, distance, etc., a star is also assigned an absolute magnitude, so the ranking of the star if seen from similar distances reveals the truth about a star. 3.26 light years away is the assumed distance in ranking stars. A star many times farther away than a second star may appear much brighter than the second star which is much closer, based partially on the various factors mentioned above. The lower the value for a magnitude, the brighter, or more correctly, the more luminous, a star. Thus, a 3.4 is brighter than a 5.1, for example. Long ago the scale was originally an arbitrary ranking based on certain stars that were considered to be the brightest. Since then, stars even brighter have been identified, thus the need to use values even less than zero. Only a handful of stars fall below zero in apparent magnitude. So then it is not significant where in the sky (in what constellation) a star lies, the magnitude value determines the brightness.


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Related Questions

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