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Distance Modulus

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Distance Modulus
The 'distance modulus' is the difference between the apparent magnitude and absolute magnitude of a celestial object (m - M), and provides a measure of the distance to the object, r.
where ...

 


Distance Modulus
The logarithm of the ratios of apparent to absolute brightnesses, equal to the difference of to .
where r is measured in .

Distance Modulus = m - M.
Distance modulus is negative for stars closer than 10 parsecs.
Distance modulus is positive for stars further away than 10 parsecs.

Distance Modulus
The difference between the apparent and absolute magnitude of a star. A measure of how far away the star is.
Diurnal Motion ...

Distance Modulus: The formula for obtaining the distance to a star using the difference between the absolute and apparent magnitude of a star, (m-M). The formula is (m-M) = 5 log(d/10), where d is the distance as measured in parsecs.

See also distance modulus.
Related categories
- ASTRONOMICAL QUANTITIES
- OBSERVATIONAL ASTRONOMY ...

Note that it is traditional to quote the distance modulus m-M = 5 log D - 5 rather than the distance itself in many publications on the distance scale - for example, the DM of the LMC is close to 18.5.

A quantity that uses the inverse square law and the logarithmic magnitude system is the ``distance modulus''. The distance modulus = the apparent magnitude - absolute magnitude. This is equal to 5 × log(distance in parsecs) - 5.

The quantity m - M is known as the distance modulus.
ABSOLUTE ZERO - Lowest possible temperature, according to the kinetic theory of gases, attained when a system is at its minimum possible energy, equal to 0 K (-273.15° C and -459.67 F).

(The logarithm function is defined by the property that if a 5=log10(b), then b 5=10a.) The difference between the apparent and absolute magnitudes of an object is usually referred to as its distance modulus.

Because it is related to distance, the difference between M and m is called the distance modulus. Just in case you get confused (this is me writing after all), here is the distinction between the key terms: ...

You can also compute the absolute magnitude of an object given its apparent magnitude and distance modulus :
[edit] Examples
Rigel has a visual magnitude of mV = 0.18 and distance about 773 light-years ...

However, it is shifted vertically due to the apparent vs. absolute magnitude. By appropriately shifting along the magnitude axis and lining up the main sequences, one can use the distance modulus (right) to determine the approximate distance to the ...

This in turn provides a distance estimate to the cluster, based on the visual magnitude of the stars. The difference between the relative and absolute magnitude, the distance modulus, yields this estimate of the distance.

The distance to the cluster can be determined by Main Sequence fitting and using the distance modulus.

The empirically-derived relation states that the luminosity of a galaxy is directly proportional to the fourth power of its rotational velocity, which can be calculated from the width of the spectral line, and uses the distance modulus to find ...

See also: Absolute, Distance, Apparent, Magnitude, Absolute Magnitude