Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-force and motion of stars around black holes   Through detection by low gravitational wave space interferometers, the
capture of stars by supermassive black holes will constitute a giant step
forward in the understanding of gravitation in strong field. The impact of the
perturbations on the motion of the star is computed via the tail, the
back-scattered part of the perturbations, or via a radiative Green function. In
the former approach, the self-force acts upon the background geodesic, while in
the latter, the geodesic is conceived in the total (background plus
perturbations) field. Regularisations (mode-sum and Riemann-Hurwitz $\zeta$
function) intervene to cancel divergencies coming from the infinitesimal size
of the particle. The non-adiabatic trajectories require the most sophisticated
techniques for studying the evolution of the motion, like the self-consistent
approach.

24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
10
The categories of this paper are: q-bio