Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Kormendy Relation for early-type galaxies. Dependence on the
  magnitude range   Previous studies indicate that faint and bright early-type galaxies (ETGs)
present different coefficients and dispersion for their Kormendy relation (KR).
A recently published paper states that the intrinsic dispersion of the KR
depends on the magnitude range within which the galaxies are contained,
therefore, we investigate here whether the magnitude range has also an
influence over the values of the coefficients of the KR; $\alpha$ (zero point)
and $\beta$ (slope). We perform numerical simulations and analysis of these
coefficients for 4 samples of galaxies, which contain an approximate total of
9400 ETGs in a relatively ample magnitude range ($<\Delta M>$ $\sim 6 mag$).
  The analysis of the results makes us conclude that the values of the KR
coefficients depend on the width of the magnitude range and the brightness of
galaxies within the magnitude range. This dependence is due to the fact that
the distribution of galaxies in the $\log (r_{e}) - <\mu>_{e}$ plane depends on
luminosity and that this distribution is not symmetrical, that is, the
geometric shape of the distribution of galaxies in the $\log (r_{e}) -
<\mu>_{e}$ plane plays an important role in the determination of the values of
the coefficients of the KR.

26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
1
The categories of this paper are: cs
2
The categories of this paper are: math