Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The RASS-SDSS Galaxy Cluster Survey. III. Scaling relations of galaxy
  clusters   We use the RASS-SDSS galaxy cluster sample to compare the quality of optical
and X-ray luminosities as predictors of other cluster properties such as their
masses, temperatures, and velocity dispersions. We use the SDSS spectroscopic
data to estimate the velocity dispersions and the virial masses of a subsample
of 69 clusters within r_{500} and r_{200}. The ASCA temperature of the
intra-cluster medium, T_X, is retrieved from the literature for a subsample of
49 clusters. For this subsample we estimate the cluster masses also by using
the mass-temperature relation. We show that the optical luminosity, L_{op},
correlates with the cluster mass much better than the X-ray luminosity, L_X.
L_{op} can be used to estimate the cluster mass with an accuracy of 40% while
L_X can predict the mass only with a 55% accuracy. We show that correcting
$L_X$ for the effect of a cool core at the center of a cluster, lowers the
scatter of the $L_X-M$ relation only by 3%. We find that the scatter observed
in the L_{op}-L_X relation is determined by the scatter of the L_X-M relation.
The mass-to-light ratio in the SDSS i band clearly increases with the cluster
mass with a slope 0.2\pm0.08. The optical and X-ray luminosities correlate in
excellent way with both T_X and \sigma_V with an orthogonal scatter of 20% in
both relations. Moreover, L_{op} and L_X can predict with the same accuracy
both variables. We conclude that the cluster optical luminosity is a key
cluster parameter since it can give important information about fundamental
cluster properties such as the mass, the velocity dispersion, and the
temperature of the intra-cluster medium.

34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess