Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact Solution of the Landau-Lifshitz Equations for a Radiating Charged
  Particle in The Coulomb Potential   We solve exactly the classical non-relativistic Landau-Lifshitz equations of
motion for a charged particle moving in a Coulomb potential, including
radiation damping. The general solution involves the Painleve transcendent of
type II. It confirms our physical intuition that a negatively charged classical
particle will spiral into the nucleus, supporting the the validity of the
Landau-Lifshitz equation.

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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: cs
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The categories of this paper are: comp-gas