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Transcript
The magnitudes of stars
The magnitude of a star is a measure of its brightness.
In the second century BC the Greek astronomer
Hipparchus devised an approximate scale of stellar
magnitudes.
Comparing the brightness of two stars he decided that if
one star was 2.5 times brighter than the other the
difference of magnitude between them was 1.
Two stars with a difference of 5 magnitudes would be 100 times brighter. The unaided
human eye can just detect stars of magnitude six in good seeing conditions.
For example: 2.5x2.5x2.5x2.5x2.5 = 2.55 = 100. [In actual fact 2.5125 = 100]
A lower intensity means a greater positive number for magnitude. That means that a star
of magnitude -1.0 is much brighter than a star with a magnitude of + 5.0. In fact a
difference of magnitude of +5 means a decrease in intensity of 100 (by definition).
Apparent magnitude and absolute magnitude
How bright a star looks when viewed from the Earth is given by its apparent magnitude.
However this does not give a true impression of the actual brightness of a star. A nearby
faint star may well look brighter than another star that is actually brighter but more distant.
(A good example of this is shown by Rigel and Sirius in the following table. Sirius looks
brighter than Rigel when seen from the Earth but it is actually fainter but much closer.
The actual brightness of a star is measured by its absolute magnitude. The absolute
magnitude of a star is defined as the apparent magnitude that it would have if placed at a
distance of 10 parsecs form the Earth.
The apparent and absolute magnitudes of a number of stars are given in the following
table.
Object
Sun
Venus
Jupiter
Sirius
Rigel
Arcturus
Proxima Centuari
Vega
Betelgeuse
Deneb ( Cygni)
Andromeda galaxy
Our Galaxy
Apparent
magnitude
-26.7
-4.4
-2.2
-1.46
0.1
-0.1
10.7
0.0
0.4
1.3
5
-
Absolute
magnitude
Distance (light
years)
+1.4
-7.0
-0.2
15.1
+0.5
-5.9
-7.2
-17.9
-18.0
8.7
880.0
35.86
4.2
26.4
586
1630
2 200 000
-