Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equations of motion of compact binaries at the third post-Newtonian
  order   The equations of motion of two point masses in harmonic coordinates are
derived through the third post-Newtonian (3PN) approximation. The problem of
self-field regularization (necessary for removing the divergent self-field of
point particles) is dealt with in two separate steps. In a first step the
extended Hadamard regularization is applied, resulting in equations of motion
which are complete at the 3PN order, except for the occurence of one and only
one unknown parameter. In a second step the dimensional regularization (in d
dimensions) is used as a powerful argument for fixing the value of this
parameter, thereby completing the 3-dimensional Hadamard-regularization result.
The complete equations of motion and associated energy at the 3PN order are
given in the case of circular orbits.

15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga