Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some partial solutions of Mathisson-Papapetrou equations in a
  Schwarzschild field   The analytical and numerical solutions of the Mathisson-Papapetrou equations
under the Mathisson-Pirani supplementary condition describing highly
relativistic (ultrarelativistic) motions of a spinning particle in a
Schwarzschild field are investigated. The known condition S/mr<<1, which is
necessary for a test particle, holds on all these solutions. The explicit
expressions for the non-equatorial circular orbits, in particular for the space
boundaries of the region of existence of these orbits, are obtained. The
dynamics of the deviation of a spinning particle from the equatorial
ultrarelativistic circular orbit with r=3M caused by the non-zero initial value
of the radial particle's velocity is studied. It is shown in the concrete cases
that spin can considerable influence the shape of an ultrarelativistic
trajectory, as compared to the corresponding geodesic trajectory, for the short
time, less than the time of one or two revolutions of a spinning particle
around a Schwarzschild mass.

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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga