Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dissipative Divergence of Resonant Orbits   A considerable fraction of multi-planet systems discovered by the
observational surveys of extrasolar planets reside in mild proximity to
first-order mean motion resonances. However, the relative remoteness of such
systems from nominal resonant period ratios (e.g. 2:1, 3:2, 4:3) has been
interpreted as evidence for lack of resonant interactions. Here we show that a
slow divergence away from exact commensurability is a natural outcome of
dissipative evolution and demonstrate that libration of critical angles can be
maintained tens of percent away from nominal resonance. We construct an
analytical theory for the long-term dynamical evolution of dissipated resonant
planetary pairs and confirm our calculations numerically. Collectively, our
results suggest that a significant fraction of the near-commensurate extrasolar
planets are in fact resonant and have undergone significant dissipative
evolution.

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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: math
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: chem-ph