J/ApJ/821/47 KOI transit probabilities of multi-planet syst. (Brakensiek+, 2016)
Efficient geometric probabilities of multi-transiting exoplanetary systems from
CORBITS.
Brakensiek J., Ragozzine D.
<Astrophys. J., 821, 47-47 (2016)>
=2016ApJ...821...47B 2016ApJ...821...47B (SIMBAD/NED BibCode)
ADC_Keywords: Planets ; Models
Keywords: celestial mechanics; methods: analytical; methods: numerical;
occultations; planetary systems; planets and satellites: detection
Abstract:
NASA's Kepler Space Telescope has successfully discovered thousands
of exoplanet candidates using the transit method, including hundreds
of stars with multiple transiting planets. In order to estimate the
frequency of these valuable systems, it is essential to account for
the unique geometric probabilities of detecting multiple transiting
extrasolar planets around the same parent star. In order to improve on
previous studies that used numerical methods, we have constructed an
efficient, semi-analytical algorithm called the Computed Occurrence of
Revolving Bodies for the Investigation of Transiting Systems
(CORBITS), which, given a collection of conjectured exoplanets
orbiting a star, computes the probability that any particular group of
exoplanets can be observed to transit. The algorithm applies theorems
of elementary differential geometry to compute the areas bounded by
circular curves on the surface of a sphere. The implemented algorithm
is more accurate and orders of magnitude faster than previous
algorithms, based on comparisons with Monte Carlo simulations. We use
CORBITS to show that the present solar system would only show a
maximum of three transiting planets, but that this varies over time
due to dynamical evolution. We also used CORBITS to geometrically
debias the period ratio and mutual Hill sphere distributions of
Kepler's multi-transiting planet candidates, which results in shifting
these distributions toward slightly larger values. In an Appendix, we
present additional semi-analytical methods for determining the
frequency of exoplanet mutual events, i.e., the geometric probability
that two planets will transit each other (planet-planet occultation,
relevant to transiting circumbinary planets) and the probability that
this transit occurs simultaneously as they transit their star.
Description:
Using CORBITS, we computed the transit probabilities of all the KOIs
with at least three candidate or confirmed transiting planets and
report the results in Table 2 for a variety of inclination
distributions. See section 4.6.
File Summary:
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FileName Lrecl Records Explanations
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ReadMe 80 . This file
table2.dat 100 211 KOI transit probabilities
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See also:
J/ApJ/809/8 : Terrestrial planet occurrence rates for KOIs (Burke+, 2015)
J/ApJ/784/45 : Kepler's multiple planet candidates. III. (Rowe+, 2014)
J/ApJS/210/20 : Small Kepler planets radial velocities (Marcy+, 2014)
J/ApJS/208/16 : Kepler transit timing observations. VIII. (Mazeh+, 2013)
J/ApJS/207/35 : Kepler pipeline signal-to-noise studies (Christiansen+, 2013)
J/ApJ/770/69 : Kepler planet candidates radii (Petigura+, 2013)
J/ApJ/763/41 : Kepler multiple-candidate systems radii (Ciardi+, 2013)
J/ApJS/197/8 : Kepler's candidate mult. transiting planets (Lissauer+, 2011)
J/ApJ/709/168 : Eccentric orbits in exoplanets (Anglada-Escude+, 2010)
http://exoplanetarchive.ipac.caltech.edu/ : NASA exoplanet archive
Byte-by-byte Description of file: table2.dat
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Bytes Format Units Label Explanations
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1- 13 A13 --- KOI Kepler Object Identifier
15 I1 --- N [2/6] Number of planets
17- 23 F7.2 d PPer1 [0.7/4333] First planetary period
25- 32 F8.2 d PPer2 [2.4/10760] Second planetary period
34- 41 F8.2 d PPer3 [4.2/30800]? Third planetary period
43- 50 F8.2 d PPer4 [5.4/60191]? Fourth planetary period
52- 57 F6.2 d PPer5 [7.2/268]? Fifth planetary period
59- 64 F6.2 d PPer6 [118.38]? Sixth planetary period
66- 73 E8.2 --- i0 [0.00019/0.09] Probability at mean mutual
inc=0degrees (1)
75- 82 E8.2 --- i1 Probability at mean mutual inc=1degrees (1)
84- 91 E8.2 --- i2 Probability at mean mutual inc=2degrees (1)
93-100 E8.2 --- i10 [0/0.051] Probability at mean mutual
inc=10degrees (1)
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Note (1): The probability of observing all the planets of each KOI transit.
Each trial was generated by drawing the mutual inclinations of the
planets from a Rayleigh distribution with the specified mean mutual
inclination and the longitudes of the ascending nodes from a uniform
distribution. The CORBITS probability of all the planets transiting
was averaged for all the trials.
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History:
From electronic version of the journal
(End) Prepared by [AAS], Emmanuelle Perret [CDS] 20-Jun-2016