Peas in a Pod? Radius correlations in Kepler multi-planet systems. (arXiv:2003.02290v2 [astro-ph.EP] UPDATED)
<a href="http://arxiv.org/find/astro-ph/1/au:+Murchikova_L/0/1/0/all/0/1">Lena Murchikova</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Tremaine_S/0/1/0/all/0/1">Scott Tremaine</a>
We address the claim of Weiss et al. (2018) that the radii of adjacent
planets in Kepler multi-planet systems are correlated. We explore two simple
toy models—in the first the radii of the planets are chosen at random from a
single universal distribution, and in the second we postulate several types of
system with distinct radius distributions. We show that an apparent correlation
between the radii of adjacent planets similar to the one reported by Weiss et
al. (2018) can arise in both models. In addition the second model fits the
radius and signal-to-noise distribution of the observed planets. We also
comment on the validity of a commonly used correction that is used to estimate
intrinsic planet occurrence rates, based on weighting planets by the inverse of
their detectability.
We address the claim of Weiss et al. (2018) that the radii of adjacent
planets in Kepler multi-planet systems are correlated. We explore two simple
toy models—in the first the radii of the planets are chosen at random from a
single universal distribution, and in the second we postulate several types of
system with distinct radius distributions. We show that an apparent correlation
between the radii of adjacent planets similar to the one reported by Weiss et
al. (2018) can arise in both models. In addition the second model fits the
radius and signal-to-noise distribution of the observed planets. We also
comment on the validity of a commonly used correction that is used to estimate
intrinsic planet occurrence rates, based on weighting planets by the inverse of
their detectability.
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