Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A dynamical analysis of the Kepler-11 planetary system   The Kepler-11 star hosts at least six transiting super-Earth planets detected
through the precise photometric observations of the Kepler mission (Lissauer et
al.). In this paper, we re-analyze the available Kepler data, using the direct
N-body approach rather than an indirect TTV method in the discovery paper. The
orbital modeling in the realm of the direct approach relies on the whole data
set, not only on the mid-transits times. Most of the results in the original
paper are confirmed and extended. We constrained the mass of the outermost
planet g to less than 30 Earth masses. The mutual inclinations between orbits b
and c as well as between orbits d and e are determined with a good precision,
in the range of [1,5] degrees. Having several solutions to four qualitative
orbital models of the Kepler-11 system, we analyze its global dynamics with the
help of dynamical maps. They reveal a sophisticated structure of the phase
space, with narrow regions of regular motion. The dynamics are governed by a
dense net of three- and four-body mean motion resonances, forming the Arnold
web. Overlapping of these resonances is a main source of instability. We found
that the Kepler-11 system may be long-term stable only in particular multiple
resonant configurations with small relative inclinations. The mass-radius data
derived for all companions reveal a clear anti-correlation between the mean
density of the planets with their distance from the star. This may reflect the
formation and early evolution history of the system.

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The categories of this paper are: physics
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ph