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Accounting for incompleteness due to transit multiplicity in Kepler planet occurrence rates

Zink, Jon K. and Christiansen, Jessie L. and Hansen, Bradley M. S. (2019) Accounting for incompleteness due to transit multiplicity in Kepler planet occurrence rates. Monthly Notices of the Royal Astronomical Society, 483 (4). pp. 4479-4494. ISSN 0035-8711. https://resolver.caltech.edu/CaltechAUTHORS:20190415-130416951

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Abstract

We investigate the role that planet detection order plays in the Kepler planet detection pipeline. The Kepler pipeline typically detects planets in order of descending signal strength (MES). We find that the detectability of transits experiences an additional 5.5 per cent and 15.9 per cent efficiency loss, for periods <200 days and >200 days respectively, when detected after the strongest signal transit in a multiple-planet system. We provide a method for determining the transit probability for multiple-planet systems by marginalizing over the empirical Kepler dataset. Furthermore, because detection efficiency appears to be a function of detection order, we discuss the sorting statistics that affect the radius and period distributions of each detection order. Our occurrence rate dataset includes radius measurement updates from the California Kepler Survey (CKS), Gaia DR2, and asteroseismology. Our population model is consistent with the results of Burke et al. (2015), but now includes an improved estimate of the multiplicity distribution. From our obtained model parameters, we find that only 4.0±4.6 per cent of solar-like GK dwarfs harbour one planet. This excess is smaller than prior studies and can be well modelled with a modified Poisson distribution, suggesting that the Kepler Dichotomy can be accounted for by including the effects of multiplicity on detection efficiency. Using our modified Poisson model, we expect the average number of planets is 5.86 ± 0.18 planets per GK dwarf within the radius and period parameter space of Kepler.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1093/mnras/sty3463DOIArticle
ORCID:
AuthorORCID
Zink, Jon K.0000-0003-1848-2063
Christiansen, Jessie L.0000-0002-8035-4778
Hansen, Bradley M. S.0000-0001-7840-3502
Additional Information:© 2018 The Author(s) Published by Oxford University Press on behalf of the Royal Astronomical Society. This article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model (https://academic.oup.com/journals/pages/open_access/funder_policies/chorus/standard_publication_model). Accepted 2018 December 18. Received 2018 December 16; in original form 2018 September 7. Published: 21 December 2018. We would like to thank the anonymous referee for useful feedback. The simulations described here were performed on the Univerisity of California, Los Angeles, Hoffman2 shared computing cluster and using the resources provided by the Bhaumik Institute. This research has made use of the National Aeronautics and Space Administration (NASA) Exoplanet Archive, which is operated by the California Institute of Technology, under contract with the NASA under the Exoplanet Exploration Program.
Group:Infrared Processing and Analysis Center (IPAC)
Funders:
Funding AgencyGrant Number
NASA/CaltechUNSPECIFIED
Subject Keywords:methods: data analysis – planets and satellites: fundamental parameters
Issue or Number:4
Record Number:CaltechAUTHORS:20190415-130416951
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190415-130416951
Official Citation:Jon K Zink, Jessie L Christiansen, Bradley M S Hansen, Accounting for incompleteness due to transit multiplicity in Kepler planet occurrence rates, Monthly Notices of the Royal Astronomical Society, Volume 483, Issue 4, March 2019, Pages 4479–4494, https://doi.org/10.1093/mnras/sty3463
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:94707
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:16 Apr 2019 21:38
Last Modified:03 Oct 2019 21:06

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