Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact expressions for the pericenter precession caused by some Dark
  Matter distributions and constraints on them from orbital motions in the
  Solar System, in the double pulsar and in the Galactic center   We analytically calculate the secular precession of the pericenter of a test
particle orbiting a central body surrounded by a continuous distribution of
Dark Matter (DM) by using some commonly adopted density profiles for it. We
obtain exact expressions without resorting to a-priori simplifying assumptions
on the orbital geometry of the test particle. Our formulas allow us to put
constraints on the parameters of the DM distributions considered in several
local astronomical and astrophysical scenarios, such as the Sun's planetary
system, the double pulsar, and the stellar system around the supermassive black
hole in Sgr A$^{\ast}$, all characterized by a wide variety of orbital
configurations.

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The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn