Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reconstruction of a star motion in the vicinity of a Schwarzschild black
  hole by redshift of the spectrum   We investigate the time evolution of the redshift of the spectrum of
electromagnetic radiation that is emitted by the star that moves in the
vicinity of supermassive black hole. For the case of Schwarzschild black hole
we solve this problem exactly in General Theory of Relativity. Also we
formulate an approach that gives possibilities to solve the inverse problem:
reconstruction of motion of a star in the vicinity of black hole using the
redshift data. This approach consists of two steps. The first step gives
possibilities to find unique solution for the integrals of motion of the star
by solution of a system of non-linear equations, rather than the direct
application of standard statistical methods. For this purpose we consider
properties of congruences of isotropic geodesics that connect of the worldline
of the source and the worldline of the observer. The second step is the
application of standard least squares method in order to obtain more accurate
solution. This approach is used on the numerical model of the star in the
vicinity of the Center of our Galaxy.

32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn