Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classification of stacked central configurations in R^3   We classify the extensions of n-body central configurations to (n + 1)-body
central configurations in R3, in both the collinear case and the non-collinear
case. We completely solve the two open questions posed by Hampton (Nonlinearity
18: 2299- 2304, 2005). This classification is related with study on co-circular
and co-spherical central configurations. We also obtain a general property of
co-circular central configurations.

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The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg