Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perturbation Method for Classical Spinning Particle Motion: I. Kerr
  Space-Time   This paper presents an analytic perturbation approach to the dynamics of a
classical spinning particle, according to the Mathisson-Papapetrou-Dixon (MPD)
equations of motion, with a direct application to circular motion around a Kerr
black hole. The formalism is established in terms of a power series expansion
with respect to the particle's spin magnitude, where the particle's kinematic
and dynamical degrees are expressed in a completely general form that can be
constructed to infinite order in the expansion parameter. It is further shown
that the particle's squared mass and spin magnitude can shift due to a
classical analogue of radiative corrections that arise from spin-curvature
coupling. Explicit expressions are determined for the case of circular motion
near the event horizon a Kerr black hole, where the mass and spin shift
contributions are dependent on the initial conditions of the particle's spin
orientation. A preliminary analysis of the stability properties of the orbital
motion in the Kerr background due to spin-curvature interactions is explored
and briefly discussed.

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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
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The categories of this paper are: adap-org
1
The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: stat