Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Sharma-Parthasarathy stochastic two-body problem   We study the Sharma-Parthasarathy stochastic two-body problem introduced by
N. Sharma and H. Parthasarathy in \cite{sharma}. In particular, we focus on the
preservation of some fundamental features of the classical two-body problem
like the Hamiltonian structure and first integrals in the stochastic case.
Numerical simulations are performed which illustrate the dynamical behaviour of
the osculating elements as the semi-major axis, the eccentricity and the
pericenter. We also derive a stochastic version of Gauss's equations in the
planar case.

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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex