J/AJ/166/94 New mean motion resonances with exoMMR package (MacDonald+, 2023)
exoMMR: A New Python Package to Confirm and Characterize Mean Motion Resonances.
MacDonald M.G., Polania Vivas M.S., D'Angiolillo S., Fernandez A.N.,
Quinn T.
<Astron. J., 166, 94 (2023)>
=2023AJ....166...94M 2023AJ....166...94M
ADC_Keywords: Exoplanets; Stars, masses
Keywords: Exoplanet dynamics ; Exoplanet migration ; Exoplanet structure
Abstract:
The study of orbital resonances allows for the constraint of planetary
properties of compact systems. We can predict a system's resonances by
observing the orbital periods of the planets, as planets in or near
mean motion resonance (MMR) have period ratios that reduce to a ratio
of small numbers. However, a period ratio near commensurability does
not guarantee a resonance; we must study the system's dynamics and
resonant angles to confirm resonance. Because resonances require
in-depth study to confirm, and because two-body resonances require a
measurement of the eccentricity vector which is quite challenging,
very few resonant pairs or chains have been confirmed. We thus remain
in the era of small-number statistics, not yet able to perform large
population synthesis or informatics studies. To address this problem,
we build a python package to find, confirm, and analyze MMRs,
primarily through N-body simulations. We then analyze all
near-resonant planets in the Kepler/K2 and TESS catalogs, confirming
over 60 new resonant pairs and various new resonant chains. We
additionally demonstrate the package's functionality and potential by
characterizing the mass-eccentricity degeneracy of Kepler-80g,
exploring the likelihood of an exterior giant planet in Kepler-80, and
constraining the masses of planets in Kepler-305. We find that our
methods overestimate the libration amplitudes of the resonant angles
and struggle to confirm resonances in systems with more than three
planets. We identify various systems that are likely resonant chains
but that we are unable to confirm, and highlight next steps for
exoplanetary resonances.
Description:
Following the methods of MacDonald+, 2022AJ....163..162M 2022AJ....163..162M and Quinn &
MacDonald 2023AJ....166...58Q 2023AJ....166...58Q, we create the python package exoMMR to
identify, confirm, and study new MMRs in the exoplanetary population.
File Summary:
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FileName Lrecl Records Explanations
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ReadMe 80 . This file
table2.dat 80 67 New mean motion resonances
table3.dat 249 167 Initial conditions for systems in table 2
refs.dat 40 38 References used for table3
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See also:
IV/38 : TESS Input Catalog - v8.0 (TIC-8) (Stassun+, 2019)
J/ApJ/750/114 : Kepler TTVs. IV. 4 multiple-planet systems (Fabrycky+, 2012)
J/ApJ/750/113 : Kepler TTVs. II. Confirmed multiplanet systems (Ford+, 2012)
J/ApJS/208/22 : Transit timing variation for 12 planetary pairs (Xie, 2013)
J/ApJ/787/80 : 139 Kepler planets transit time variations (Hadden+, 2014)
J/ApJ/785/15 : Transit times Kepler-79's known planets (Jontof-Hutter+, 2014)
J/ApJS/210/20 : Small Kepler planets radial velocities (Marcy+, 2014)
J/ApJ/784/45 : Kepler's multiple planet candidates. III. (Rowe+, 2014)
J/ApJ/783/4 : Properties Kepler multi-planet candidate systems (Wang+, 2014)
J/ApJS/210/25 : Transit timing variation for 15 planetary pairs II. (Xie, 2014)
J/ApJS/226/7 : Planet candidates discovered using K2s 1yr (Crossfield+, 2016)
J/ApJS/225/9 : Kepler TTVs. IX. Full long-cadence data set (Holczer+, 2016)
J/ApJ/832/183 : Binary stellar evolution data Kepler systems (Kostov+, 2016)
J/AJ/152/105 : Kepler-80 transit timing observations (MacDonald+, 2016)
J/ApJ/822/86 : False positive probabilities Q1-Q17 DR24 KOIs (Morton+, 2016)
J/MNRAS/463/1831 : M67 Kepler/K2 variable stars (Nardiello+, 2016)
J/AJ/154/5 : Transit timing variations of 145 Kepler planets (Hadden+, 2017)
J/AJ/155/136 : Planets orbiting bright stars K2 campaigns 0-10 (Mayo+, 2018)
J/AJ/155/106 : New Doppler velocity measurements of GJ876 (Millholland+, 2018)
J/other/RAA/19.41 : TTVs & linear ephemerides Kepler exoplanets (Gajdos+, 2019)
J/ApJS/244/11 : Planet candidates and EBs in K2 campaigns 0-8 (Kruse+, 2019)
J/AJ/159/57 : HST spectroscopic LCs of Kepler 51b &51d (Libby-Roberts+, 2020)
J/A+A/653/A41 : L 98-59 (TOI-175) ESPRESSO observations (Demangeon+, 2021)
J/AJ/161/246 : Transit time variations for 12 exoplanet (Jontof-Hutter+, 2021)
J/A+A/649/A26 : TOI-178 six transiting planets (Leleu+, 2021)
J/AJ/162/114 : Times & durations Kepler-80 planetary system (Macdonald+, 2021)
J/AJ/163/101 : TESS-Keck survey. IX. RVel of HD1919139 (Lubin+, 2022)
J/AJ/166/28 : Validation 69 exoplanets with ExoMinerV1.2 (Valizadegan+, 2023)
Byte-by-byte Description of file: table2.dat
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Bytes Format Units Label Explanations
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1- 11 A11 --- System System identifier
13- 17 A5 --- Planet Planets in resonance
19- 21 A3 --- Res Resonance
23- 27 F5.1 % Plib [89/100] Percentage of simulations where this
angle librates
29- 38 F10.6 --- Center [-1.63/181] Center of libration
40- 45 F6.3 --- E_Center [0.1/46] Upper uncertainty on Center
47- 53 F7.3 --- e_Center [0.1/148] Lower uncertainty on Center
55- 60 F6.2 --- Amp [49.4/133] Amplitude of libration
62- 66 F5.2 --- E_Amp [4/48] Upper uncertainty on Amp
68- 72 F5.2 --- e_Amp [3/49] Lower uncertainty on Amp
74- 80 A7 --- Notes Notes (1)
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Note (1): Notes as follows:
1 = System contains potential additional resonant pair (see Table 8);
2 = Resonant pair contains candidate planet;
3 = System has known TTVs;
4 = Pair previously studied for resonance.
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Byte-by-byte Description of file: table3.dat
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Bytes Format Units Label Explanations
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1- 11 A11 --- System System identifier
13- 13 I1 --- Np [0/6] Number of confirmed planets modeled in
the system
17- 17 I1 --- Npc [2/6]? Number of planets modeled in the system
if there are planet candidates
19- 23 F5.3 Msun Mass [0.23/1.49] Stellar mass
25- 31 F7.3 Msun E_Mass [0.01/0.4]? Upper uncertainty on Mass
33- 39 F7.3 Msun e_Mass [0.008/0.2]? Lower (or symmetric) on Mass
41- 50 A10 --- Planet Planet identifier in System
52- 63 F12.9 Rgeo Radp [0.47/10.2]? Planet radius
65- 70 F6.4 Rgeo E_Radp [0.02/4]? Upper uncertainty on Radp
72- 77 F6.4 Rgeo e_Radp [0.01/4]? Lower (or symmetric) uncertainty on
Radp
79- 97 F19.14 d Per [0.74/4450] Planet orbital period
99-117 F19.14 d E_Per [1e-06/2750]? Upper uncertainty on Per
119-137 F19.14 d e_Per [1e-06/2750]? Lower (or symmetric) uncertainty
on Per
139-155 F17.9 d t0 ? mid-transit time, Barycentric Julian Date
at TDB
157-168 F12.9 d E_t0 [0.0001/0.3]? Upper uncertainty on t0
170-180 F11.9 d e_t0 [0.0002/0.3]? Lower (or symmetric) uncertainty
on t0
182-182 A1 --- l_Massp Limit flag on Massp
184-190 F7.2 Mgeo Massp [0.07/2161]? Planet mass
192-198 F7.2 Mgeo E_Massp [0.02/1435]? Upper uncertainty on Massp
200-206 F7.2 Mgeo e_Massp [0.02/1435]? Lower (or symmetric) uncertainty
on Massp
208-216 F9.6 deg i [73.1/90]? Sky-plane inclination
218-225 F8.6 deg E_i [0.001/3]? Upper uncertainty on i
227-234 F8.6 deg e_i [0.001/4]? Lower (or symmetric) uncertainty
on i
236-249 A14 --- Ref References used
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Byte-by-byte Description of file: refs.dat
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Bytes Format Units Label Explanations
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1- 2 I2 --- Ref [1/39] Reference code
4- 22 A19 --- BibCode Bibcode of the reference
24- 40 A17 --- Cat Catalog in Vizier
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History:
From electronic version of the journal
(End) Prepared by [AAS], Coralie Fix [CDS], 18-Mar-2024