Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integrability of close encounters in the spatial restricted three-body
  problem   We extend to the spatial case a technique of integration of the close
encounters formulated by Tullio Levi-Civita for the planar restricted
three-body problem. We consider the Hamiltonian introduced in the
Kustaanheimo-Stiefel regularization and construct a complete integral of the
related Hamilton-Jacobi equation by means of a series convergent in a
neighbourhood of the collisions with the primary or secondary body.

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The categories of this paper are: econ
13
The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org