Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Three-body relative equilibria on $S^2$ II: Extended Lagrangian
  configurations   This is a natural continuation of our first paper \cite{pre}, where we
develop a new geometrical technique which allow us to study relative equilibria
on the two sphere. We consider a system of three positive masses on
$\mathbb{S}^2$ moving under the influence of an generic attractive potential
which only depends on the mutual distances among the masses. We reduce the
problem of finding extended Lagrangian relative equilibria to the analysis of
the inertia tensor, then we obtain a more manageable equivalent inertia tensor
which allow us to find new families of Lagrangian configurations.

26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess