Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equilibrium models of radially anisotropic spherical stellar systems
  with softened central potentials   We study a new class of equilibrium two-parametric distribution functions of
spherical stellar systems with radially anisotropic velocity distribution of
stars. The models are less singular counterparts of the so called generalized
polytropes, widely used in works on equilibrium and stability of gravitating
systems in the past. The offered models, unlike the generalized polytropes,
have finite density and potential in the center. The absence of the singularity
is necessary for proper consideration of the radial orbit instability, which is
the most important instability in spherical stellar systems. Comparison of the
main observed parameters (potential, density, anisotropy) predicted by the
present models and other popular equilibrium models is provided.

31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat