Absolute magnitude

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Absolute magnitude (Absolute magnitude, M )It is assumed that fixed star Place at the distance earth The brightness of a star measured at a distance of 10 seconds (32.6 light years), used to distinguish it from Apparent magnitude (Apparent brightness, m). It reflects the real luminous ability of celestial bodies. This method can objectively compare the luminosity of celestial bodies without being affected by distance. If the absolute magnitude is represented by M, and the apparent magnitude is represented by m, the distance of the star is converted into a second difference of r, then M=m+5-5lgr.
By assuming that all celestial bodies are placed at the standard reference distance from the observer, their brightness can be directly compared by magnitude. The magnitude is the same as that in all astronomy, and the absolute magnitude can be specified for different wavelength ranges corresponding to the specified filter band or passband; For stars, the absolute magnitude usually quoted is Absolute apparent magnitude , which uses the optical V-belt of the spectrum (in the UBV photometric system).
The brighter the object, the smaller its absolute magnitude. Two celestial bodies The absolute magnitude difference is 5, so the luminosity difference is 100 times, and the difference of n absolute magnitudes corresponds to the luminosity ratio of 100 (n/5). For example, the star with absolute magnitude M=3 will be 100 times brighter than the star with absolute magnitude M=8 measured in the V filter band. [1] High luminosity objects can have negative absolute magnitude values: for example, the absolute B star equivalent of the Milky Way is about - 20.8.
The absolute thermal magnitude of a celestial body indicates its total luminosity at all wavelengths, not in a single filter band, such as on the logarithmic amplitude scale. In order to convert from absolute magnitude to absolute thermal magnitude in a specific filter band, thermal correction is applied.
For objects in the solar system, the light is the reflected sunlight. We use different absolute magnitude (H), which is based on a standard reference of one astronomical unit.
Chinese name
Absolute magnitude
Foreign name
Absolute magnitude,M
Field
Astronomy
Role
Compare the distance independent luminosity

Introduction to magnitude

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Measuring fixed star Absolute magnitude with the galaxy, the standard distance is set to 10 Second gap , about 32.616 Light year Or 309 trillion kilometers parallax The value is 0.1 ".
When defining its absolute magnitude, you must specify which type of electromagnetic radiation If calculated according to the released energy, the result will be called Radiant heat intensity The lower the magnitude, the brighter the celestial body. Absolute magnitude and apparent magnitude can be converted by parallax (distance).
Due to the distance, the absolute magnitude of many stars is much smaller than their apparent magnitude (actually brighter than it seems); Because some stars are close to us, their absolute magnitudes will be much larger than the visible magnitudes (they look brighter than the actual ones).
Below are some reference tables of absolute magnitude and apparent magnitude of stars:
Star name
Absolute magnitude
-5.85
-7.84 [8]
-8.38
one point four
four point eight three
Apparent magnitude
zero point five eight
zero point one two [8]
one point two five
-1.46
-26.8
The absolute magnitude of converted stars usually ranges from - 10 to+17. The absolute magnitude of galaxies is usually lower (bright), for example, Elliptical galaxy M87 The absolute magnitude of is - 22.

conversion

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If the apparent magnitude m and distance d of the celestial body are known, then the absolute magnitude M of the celestial body can be obtained according to the following formula:
or
Among them,
10 seconds difference, i.e. 32.616 light years,
Is the parallax of the celestial body, in arc seconds.
If the absolute magnitude M and distance d of the celestial body are known, the apparent magnitude m of the celestial body can be obtained according to the following formula:
or
example:
Rigel The apparent magnitude of+0.18 is 773 light-years away, then its absolute magnitude is:
M Rigel = 0.18 + 5*log10(32.616/773) = -6.7
Vega The parallax of is 0.133 ", and the apparent magnitude+0.03, then the absolute magnitude is:
M Vega = 0.03 + 5*(1 + log10(0.133)) = +0.65
Alpha With a parallax of 0.750 "and an absolute magnitude of+4.37, the apparent magnitude is:
m Alpha = 4.37 - 5*(1 + log10(0.750)) = -0.01

computing method

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about planet comet asteroid For non stellar objects, their absolute magnitude definitions are completely different. The definition of absolute magnitude of a star is not applicable to it. At this time, the absolute magnitude is defined as the distance between the celestial body and the sun and the earth is one Astronomical unit (au), and phase angle At 0 ° Apparent magnitude This is actually impossible, just for the convenience of calculation.
Calculate absolute magnitude H :
Where is the apparent magnitude of the sun (- 26.73), is the geometric albedo of the celestial body surface (between 0 and 1), is the radius of the celestial body, and is an astronomical unit.
moon:
,
3476/2 km = 1738 km

Absolute magnitude ranking

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Here are the brightest stars with absolute magnitude
ranking
name
Absolute magnitude
Apparent magnitude
brightness
Mass/solar mass
Distance from the ground
Constellation
one
-12.17
five point five one [2]
/
About 80
108000 light years [2]
two
HD 93129A
-12.1
six point nine seven
5.5 million times the sun
120-127
7500 light years
three
LBV 1806-20 [9]
-12
eight point six
5 million times the sun
/
30000 to 49000 light years
four
QPM-241
-11.9
/
4.5 million times the sun
130-200
25000 light years
five
-11.6
/
3.2 million times the sun
175 (initial)
29000 light years
six
HD 5980
-11.5
eleven point five two
3 million times the sun
40-60
200000 light years
seven
LSS 4067
-11.4
eleven point two six [3]
/
/
/
unknown
eight
Musca KY [4]
-11.36 [5]
six point two two
/
/
108000 light years
nine
-11.3
seven point five
/
one hundred and eighteen
11000 light years
ten
HDE 269810
-11.1
twelve point eight
2.2 million times the sun
one hundred and fifty
170000 light years
eleven
Var 83
-11.1
sixteen point four
2.2 million times the sun
/
3 million light years
twelve
-10.9
seventeen point eight
1.8 million times the sun
/
15000 light years
thirteen
-10.8
28 (no blocking 4)
1.7 million times the sun
/
25000 light years
fourteen
Andromeda AF
-10.8
seventeen point three two [6]
1.6 million times the sun
/
780000 light years
fifteen
Tr 27-27
-10.7
/
/
/
/
unknown
sixteen
Var B
-10.4
/
1.1 million times the sun
/
/
seventeen
-10.37 [7]
four point six three [7]
/
/
32600 light years
eighteen
-10.3
seven point zero nine
1 million times the sun
fifty
6000 light years
nineteen
-9.82
11.4 (no shelter 1.5)
6.3 million times the sun
ninety-two
5000 light years
-
-8.6
four point five five
5 million times the sun
100-150
7500 light years
-
-8.5
4.66-4.86
1.7 million times the sun
sixty
5700 light years
-
-8.38
one point two five
196000 times the sun
19±4
1410 light years
-
-8.18
twelve point two three
6.16 million times the sun
two hundred and fifteen
163000 light years
-
Right Flag Four
-8.1
four point six six
/
/
120000 light years
-
-7.84 [8]
zero point one two
145000 times the sun
21±3 [8]
860 ± 80 light years
-
-7.35
four point two nine
/
55-60
6936.17 light years
-
-6.89
one point seven
375000 times the sun
forty
1300 light years