Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modal Decomposition of TTV - Inferring Planet Masses and Eccentricities   Transit timing variations (TTVs) are a powerful tool for characterizing the
properties of transiting exoplanets. However, inferring planet properties from
the observed timing variations is a challenging task, which is usually
addressed by extensive numerical searches. We propose a new, computationally
inexpensive method for inverting TTV signals in a planetary system of two
transiting planets. To the lowest order in planetary masses and eccentricities,
TTVs can be expressed as a linear combination of 3 functions, which we call the
\textit{TTV modes}. These functions depend only on the planets' linear
ephemerides, and can be either constructed analytically, or by performing 3
orbital integrations of the three-body system. Given a TTV signal, the
underlying physical parameters are found by decomposing the data as a sum of
the TTV modes. We demonstrate the use of this method by inferring the mass and
eccentricity of 6 \textit{Kepler} planets that were previously characterized in
other studies. Finally we discuss the implications and future prospects of our
new method.

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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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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: physics
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: econ