Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relativistic effects and dark matter in the Solar system from
  observations of planets and spacecraft   The high precision of the latest version of the planetary ephemeris EPM2011
enables one to explore more accurately a variety of small effects in the solar
system. The processing of about 678 thousand of position observations of
planets and spacecrafts for 1913--2011 with the predominance of modern radar
measurements resulted in improving the PPN parameters, dynamic oblateness of
the Sun, secular variation of the heliocentric gravitational constant
$GM_{\odot}$, and variation range of the gravitational constant $G$. This
processing made it possible to estimate the potential additional gravitational
influence of dark matter on the motion of the solar system bodies. The density
of dark matter ${\rho}_{dm}$, if any, turned out to be substantially below the
accuracy achieved by the present determination of such parameters. At the
distance of the orbit of Saturn the density ${\rho}_{dm}$ is estimated to be
under $1.1\cdot10^{-20}$ g/cm$^3$, and the mass of dark matter in the area
inside the orbit of Saturn is less than $7.9\cdot10^{-11}$ M$_{\odot}$ even
taking into account its possible tendency to concentrate in the center.

22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org