Half-Light Radius: Definition & Galaxy Merging

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The term "half-light radius" refers to the distance within which half of the total light from a galaxy is contained, assuming a radially symmetric distribution. This concept is crucial in the study of galaxy merging as it provides a measure of the effective size of galaxies. For axially symmetric galaxies, this definition remains consistent regardless of the observed axis ratio, which is influenced by the galaxy's intrinsic shape and its orientation relative to the observer. The half-light radius can be visualized as encompassing the central 50 percent of light output, akin to the middle of a bell curve. Understanding this concept aids in analyzing the structure and merging dynamics of galaxies.
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In a recent paper by Peebles (arXiv:astro-ph/0309269), there was a discussion of galaxy merging. In it the term "half-light radius" was used to describe distances between galaxies. What is its definition?
 
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Originally posted by mathman
In a recent paper by Peebles (arXiv:astro-ph/0309269), there was a discussion of galaxy merging. In it the term "half-light radius" was used to describe distances between galaxies. What is its definition?

You could just plug "half-light radius" into google.

when i did that the first thing that came out was
a definition, from some HST webpage'

"This is the radius within which half the light of the unconvolved model would be contained if it were radially symmetric (an axis ratio of unity). For axially symmetric galaxies, this definition is independent of the observed axis ratio of the galaxy, a parameter which depends on the intrinsic axis ratio and its inclination to the line-of-sight."


So in the simplest case where it is just a sperical blob, the halflight radius is the radius just big enough so that half the light is coming from within it

it is like the middle 50 percent of a bell-curve distribution
and helps to describe things that don't have sharp cutoff edges
 
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