Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Circular Orbits under Central Forces in Special Relativity   We discuss the existence and stability of circular orbits of a relativistic
point particle moving in a central force field. The stability condition is
somewhat more restrictive in Special Relativity. In the particular case of
attractive central force fields proportional to $1/r^n$, we find the values the
angular momentum may have in circular orbits and show that, unlike in the
non-relativistic limit, the latter are not always stable in Special Relativity
for $2<n<3$.

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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: math
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas