Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gravitational waveforms for 2- and 3-body gravitating systems   Different numbers of self-gravitating particles (in different types of
periodic motion) are most likely to generate very different shapes of
gravitational waves, some of which, however, can be accidentally almost the
same. One such example is a binary and a three-body system for Lagrange's
solution. To track the evolution of these similar waveforms, we define a chirp
mass to the triple system. Thereby, we show that the quadrupole waveforms
cannot distinguish the sources. It is suggested that waveforms with higher
$\ell$-th multipoles will be important for classification of them (with a
conjecture of $\ell \leq N$ for N particles).

0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg