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Apparent magnitude

 

 

 

 

 

Apparent magnitude


 
 


The apparent magnitude (m) of a celestial body is a measureMeasurement

Measurement is the estimation or determination of extent, dimension or capacity, usually in relation to some standard or uni...
 of its brightnessBrightness Summary

Brightness is an attribute of visual perception in which a source appears to emit a given amount of light....
 as seen by an observer on EarthEarth

Earth is the third planet in the solar system in terms of distance from the Sun, and the fifth largest....
, normalized to the value it would have in the absence of the atmosphereEarth's atmosphere

Earth's atmosphere is a layer of gases surrounding the planet Earth and retained by the Earth's gravity....
. The brighter the object appears, the lower the value of its magnitude.

Example 1


What is the difference in brightness between the Sun and the full moon?

variation in brightness

The apparent magnitude of the Sun is -26.73, and the apparent magnitude of the full moon is -12.6. The full moon is the fainter of the two objects, while the Sun is the brighter.

Difference in brightness

Variation in Brightness

variation in brightness = 449,032.16

In terms of apparent magnitude, the Sun is more than 449,032 times brighter than the full moon. This is a good reason to avoid looking directly at the Sun, even during the non-total phases of a solar eclipse. (Viewing the completely eclipsed Sun is safe, but it only stays completely eclipsed for a very short period of time.)

Example 2


What is the difference in brightness between Sirius and Polaris?

variation in brightness

The apparent magnitude of Sirius is -1.44, and the apparent magnitude of Polaris is 1.97. Polaris is the fainter of the two stars, while Sirius is the brighter.

Difference in brightness

Variation in brightness

In terms of apparent magnitude, Sirius is 23.124 times brighter than Polaris the North Star.

The second thing to notice is that the scale is logarithmLogarithm

The logarithm is the mathematical operation that is the inverse of exponentiation ....
ic: the relative brightness of two objects is determined by the difference of their magnitudes. For example, a difference of 3.2 means that one object is about 19 times as bright as the other, because Pogson's ratio raised to the power 3.2 is 19.054607...
A common misconception is that the logarithmic nature of the scale is because the human eyeEye

An eye is an organ of vision that detects light....
 itself has a logarithmic response. In Pogson's time this was thought to be true (see Weber-Fechner law), but it is now believed that the response is a power lawPower law

Power laws are observed in many subject areas, including physics, biology, geography, sociology, economics, and linguistics....
 (see Stevens' power lawStevens' power law

Stevens' power law is a proposed relationship between the magnitude of a physical stimulus and its perceived intensity or st...
).

Magnitude is complicated by the fact that light is not monochromatic. The sensitivity of a light detector varies according to the wavelength of the light, and the way in which it varies depends on the type of light detector. For this reason, it is necessary to specify how the magnitude is measured in order for the value to be meaningful. For this purpose the UBV system is widely used, in which the magnitude is measured in three different wavelength bands: U (centred at about 350 nm, in the near ultravioletUltraviolet

Ultraviolet light is electromagnetic radiation with a wavelength shorter than that of visible light, but longer than soft X...
), B (about 435 nm, in the blue region) and V (about 555 nm, in the middle of the human visual range in daylight). The V band was chosen for spectral purposes and gives magnitudes closely corresponding to those seen by the light-adapted human eye, and when an apparent magnitude is given without any further qualification, it is usually the V magnitude that is meant, more or less the same as visual magnitude.

Since cooler stars, such as red giantRed giant

According to the Hertzsprung-Russell diagram, a red giant is a large non-main sequence star of stellar classification K or M...
s and red dwarfRed Dwarf

Red Dwarf is a British science fiction sitcom that ran for eight series, from 1988 to 1999....
s, emit little energy in the blue and UV regions of the spectrum their power is often under-represented by the UBV scale. Indeed, some L and T classStellar classification

In astronomy, stellar classification is a classification of stars based initially on photospheric temperature and its associ...
 stars have an estimated magnitude of well over 100, since they emit extremely little visible light, but are strongest in infraredInfrared

Infrared radiation is electromagnetic radiation of a wavelength longer than that of visible light, but shorter than that of...
.

Measures of magnitude need cautious treatment and it is extremely important to measure like with like. On early 20th century and older orthochromatic (blue-sensitive) photographic filmPhotographic film Summary

Photographic film is a sheet of plastic coated with an emulsion containing light-sensitive silver halide salts with variab...
, the relative brightnesses of the blue supergiantSupergiant

Supergiants are the most massive stars....
 RigelRigel

Rigel is the brightest star in the constellation Orion and the seventh brightest star in the sky, with visual magnitude 0....
 and the red supergiant BetelgeuseBetelgeuse Summary

Betelgeuse is a semiregular variable star located 427 light-years away ....
 irregular variable star (at maximum) are reversed compared to what our eyes see since this archaic film is more sensitive to blue light than it is to red light. Magnitudes obtained from this method are known as photographic magnitudePhotographic magnitude

Before the advent of photometers which accurately measure the brightness of astronomical objects, the apparent magnitude of an obj...
s, and are now considered obsolete.

For objects within our Galaxy with a given absolute magnitudeAbsolute magnitude

In astronomy, absolute magnitude is the apparent magnitude, m, an object would have if it were at a standard luminosity ...
, 5 is added to the apparent magnitude for every tenfold increase in the distance to the object. This relationship does not apply for objects at very great distances (far beyond our galaxy), since a correction for General RelativityGeneral relativity

General relativity is the geometrical theory of gravitation published by Albert Einstein in 1915....
 must then be taken into account due to the non-Euclidean nature of space.

See also


  • Absolute magnitudeAbsolute magnitude

    In astronomy, absolute magnitude is the apparent magnitude, m, an object would have if it were at a standard luminosity ...
  • Magnitude (astronomy)Magnitude (astronomy)

    In astronomy, magnitude refers to the logarithmic measure of the brightness of an object, measured in a specific wavelength ...
  • Photographic magnitudePhotographic magnitude

    Before the advent of photometers which accurately measure the brightness of astronomical objects, the apparent magnitude of an obj...
  • Luminosity in astronomyLuminosity

    Luminosity has different meanings in several different fields of science....
  • List of brightest starsList of brightest stars

    Bright stars are bright because they have high luminosities and/or they are nearby....
  • List of nearest bright starsList of nearest bright stars

    The list of nearest bright stars is a table of stars found within 15 parsecs of the Sun that have an absolute magnitude of +...
  • List of nearest starsList of nearest stars

    This list of the nearest stars to Earth is ordered by increasing distance out to a maximum of 5 parsecs ....
  • Surface BrightnessSurface brightness

    Surface brightness is a concept used in astronomy when describing extended astronomical objects such as galaxies and nebulae...