Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deriving galaxy cluster velocity anisotropy profiles from a joint
  analysis of dynamical and weak lensing data   We present an analytic approach to lift the mass-anisotropy degeneracy in
clusters of galaxies by utilizing the line-of-sight velocity dispersion of
clustered galaxies jointly with weak lensing inferred masses. More
specifically, we solve the spherical Jeans equation by assuming a simple
relation between the line-of-sight velocity dispersion and the radial velocity
dispersion and recast the Jeans equation as a Bernoulli differential equation
that has a well-known analytic solution. We first test our method in
cosmological N-body simulations and then derive the anisotropy profiles for 35
archival data galaxy clusters with an average redshift of $\langle
{z}_{c}\rangle =0.25$. The resulting profiles yield a weighted average global
value of $\langle \beta (0.2\leqslant R/{R}_{200}\leqslant 1)\rangle =0.35\pm
0.28$ (stat) \pm 0.15 (sys). This indicates that clustered galaxies tend to
globally fall on radially anisotropic orbits. We note that this is the first
attempt to derive velocity anisotropy profiles for a cluster sample of this
size utilizing joint dynamical and weak lensing data

9
The categories of this paper are: nlin
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph