2022AJ....163...13B

Query : 2022AJ....163...13B

2022AJ....163...13B - Astron. J., 163, 13-13 (2022/January-0)

Period ratio sculpting near second-order mean-motion resonances.

BAILEY N., GILBERT G. and FABRYCKY D.

Abstract (from CDS):

Second-order mean-motion resonances lead to an interesting phenomenon in the sculpting of the period-ratio distribution, due to their shape and width in period-ratio/eccentricity space. As the osculating periods librate in resonance, the time-averaged period ratio approaches the exact commensurability. The width of second-order resonances increases with increasing eccentricity, and thus more eccentric systems have a stronger peak at commensurability when averaged over sufficient time. The libration period is short enough that this time-averaging behavior is expected to appear on the timescale of the Kepler mission. Using N-body integrations of simulated planet pairs near the 5:3 and 3:1 mean-motion resonances, we investigate the eccentricity distribution consistent with the planet pairs observed by Kepler. This analysis, an approach independent from previous studies, shows no statistically significant peak at the 3:1 resonance and a small peak at the 5:3 resonance, placing an upper limit on the Rayleigh scale parameter, σ, of the eccentricity of the observed Kepler planets at σ = 0.245 (3:1) and σ = 0.095 (5:3) at 95% confidence, consistent with previous results from other methods.

Abstract Copyright: © 2021. The Author(s). Published by the American Astronomical Society.

Journal keyword(s): Celestial mechanics - Three-body problem - N-body simulations - Exoplanet systems - Exoplanet dynamics - Orbital resonances - Orbital elements

Simbad objects: 165

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Number of rows : 165
N Identifier Otype ICRS (J2000)
RA 		ICRS (J2000)
DEC 		Mag U Mag B Mag V Mag R Mag I Sp type #ref
1850 - 2026 		#notes
1 Kepler-102b Pl 18 45 55.8559851072 +47 12 28.845259020           ~ 47 0
2 Kepler-102e Pl 18 45 55.8559851072 +47 12 28.845259020           ~ 72 0
3 KOI-4136.02 Pl? 18 47 17.5648428192 +42 48 40.172538096           ~ 13 0
4 KOI-4136.01 Pl? 18 47 17.5648428192 +42 48 40.172538096           ~ 14 0
5 KOI-4435.02 Pl? 18 47 49.3707233808 +44 15 41.446171512           ~ 8 0
6 KOI-4435.01 Pl? 18 47 49.3707233808 +44 15 41.446171512           ~ 14 0
7 BD+48 2768b Pl? 18 48 00.0845727432 +48 32 31.990894764           ~ 17 0
8 Kepler-446d Pl 18 49 00.0433305672 +44 55 15.977921880           ~ 25 0
9 KOI-1151.04 Pl? 18 52 00.7169260536 +44 17 03.188714244           ~ 17 0
10 Kepler-271b Pl 18 52 00.7169260536 +44 17 03.188714244           ~ 29 0
11 Kepler-1388b Pl 18 53 20.6548120296 +47 10 28.257812616           ~ 18 0
12 KOI-3470.01 Pl? 18 55 11.4686631000 +46 55 51.664822716           ~ 8 0
13 Kepler-158b Pl 18 56 07.7365995600 +39 46 52.863887892           ~ 25 0
14 BD+44 3020d Pl 18 56 14.3076037320 +44 31 05.389610412           ~ 62 1
15 BD+44 3020b Pl 18 56 14.3076037320 +44 31 05.389610412           ~ 72 1
16 Kepler-90g Pl 18 57 44.0383126392 +49 18 18.496454184           ~ 60 1
17 Kepler-1014b Pl 19 00 29.2876470864 +44 06 38.064118752           ~ 17 0
18 KOI-1920.02 err 19 00 29.29 +44 06 38.2           ~ 10 0
19 Kepler-381c Pl 19 00 43.8669146952 +43 49 51.905636508           ~ 29 0
20 Kepler-381d Pl 19 00 43.8669146952 +43 49 51.905636508           ~ 25 0
21 Kepler-127d Pl 19 00 45.5887144320 +46 01 40.693626120           ~ 44 0
22 Kepler-127c Pl 19 00 45.5887144320 +46 01 40.693626120           ~ 39 0
23 Kepler-1130b Pl 19 00 49.7878295856 +45 23 03.605122176           ~ 30 0
24 Kepler-1130c Pl 19 00 49.7878295856 +45 23 03.605122176           ~ 26 0
25 Kepler-295b Pl 19 01 23.0049838008 +45 22 03.986652576           ~ 21 0
26 Kepler-169e Pl 19 03 59.9740327176 +40 55 09.611690772           ~ 26 0
27 Kepler-169d Pl 19 03 59.9740327176 +40 55 09.611690772           ~ 18 0
28 KOI-2263.03 Pl? 19 07 53.0985893424 +44 42 29.795002596           ~ 3 0
29 Kepler-1165b Pl 19 07 53.0985893424 +44 42 29.795002596           ~ 7 0
30 KOI-2261.02 Pl? 19 10 07.1130600912 +38 53 40.186516848           ~ 17 0
31 Kepler-1164 Er* 19 10 07.1130600912 +38 53 40.186516848       14.078   ~ 50 0
32 Kepler-1164b Pl 19 10 07.1130600912 +38 53 40.186516848           ~ 24 0
33 KOI-2199.02 Pl? 19 10 08.3967671256 +49 48 05.951995524           ~ 5 0
34 Kepler-1806b Pl 19 10 08.3967671256 +49 48 05.951995524           ~ 9 0
35 Kepler-20b Pl 19 10 47.5233433920 +42 20 19.301370684           ~ 123 1
36 Kepler-20e Pl 19 10 47.5233433920 +42 20 19.301370684           ~ 60 1
37 Kepler-238b Pl 19 11 35.3058296736 +40 38 16.143812448           ~ 24 0
38 Kepler-238c Pl 19 11 35.3058296736 +40 38 16.143812448           ~ 28 0
39 KOI-3083.01 Pl? 19 11 54.9112705656 +42 40 45.662432592           ~ 18 0
40 KOI-3083.02 Pl? 19 11 54.9112705656 +42 40 45.662432592           ~ 15 0
41 Kepler-150c Pl 19 12 56.1835322352 +40 31 15.208382352           ~ 24 0
42 Kepler-1598b Pl 19 13 52.5832850592 +46 47 01.266384300           ~ 18 0
43 Kepler-131b Pl 19 14 07.4053097208 +40 56 32.328971700           ~ 58 0
44 Kepler-375c Pl 19 14 28.2908070888 +48 05 54.200335056           ~ 17 0
45 Kepler-375b Pl 19 14 28.2908070888 +48 05 54.200335056           ~ 19 0
46 Kepler-310c Pl 19 15 21.4377198432 +46 59 12.293095272           ~ 32 0
47 Kepler-310d Pl 19 15 21.4377198432 +46 59 12.293095272           ~ 30 0
48 Kepler-60d Pl 19 15 50.6983640712 +42 15 54.050260968           ~ 49 1
49 Kepler-60b Pl 19 15 50.6983640712 +42 15 54.050260968           ~ 53 1
50 Kepler-33d Pl 19 16 18.6099987120 +46 00 18.813656376           ~ 46 1
51 Kepler-33c Pl 19 16 18.6099987120 +46 00 18.813656376           ~ 39 1
52 Kepler-1022b Pl 19 17 24.4854975960 +46 58 25.338735984           ~ 17 0
53 KOI-1940.02 Pl? 19 17 24.4854975960 +46 58 25.338735984           ~ 8 0
54 Kepler-373c Pl 19 17 33.1220046648 +50 35 49.371407772           ~ 18 0
55 Kepler-373b Pl 19 17 33.1220046648 +50 35 49.371407772           ~ 21 0
56 BD+41 3306c Pl 19 19 00.5489000285 +41 38 04.582441681           ~ 42 0
57 Kepler-154c Pl 19 19 07.3336120632 +49 53 47.550728148           ~ 19 0
58 Kepler-154d Pl 19 19 07.3336120632 +49 53 47.550728148           ~ 26 0
59 Kepler-325c Pl 19 19 20.5054876128 +49 49 32.163328344           ~ 19 0
60 Kepler-325d Pl 19 19 20.5054876128 +49 49 32.163328344           ~ 23 0
61 Kepler-337c Pl 19 20 14.5170961920 +47 09 50.195397528           ~ 24 0
62 Kepler-337b Pl 19 20 14.5170961920 +47 09 50.195397528           ~ 25 0
63 Kepler-278b Pl 19 20 25.7273170008 +38 42 08.031761532           ~ 34 0
64 KOI-3068.01 Pl? 19 21 02.4670794384 +38 21 17.963069652           ~ 13 0
65 Kepler-138c Pl 19 21 31.5679755816 +43 17 34.680970608           ~ 80 0
66 Kepler-286c Pl 19 22 42.2833952040 +48 17 39.218963784           ~ 17 0
67 Kepler-262c Pl 19 22 54.8798936640 +37 15 09.600487272           ~ 25 0
68 Kepler-316b Pl 19 23 18.2331857664 +44 11 02.702121864           ~ 18 0
69 Kepler-316c Pl 19 23 18.2331857664 +44 11 02.702121864           ~ 18 0
70 Kepler-224d Pl 19 23 44.2255728048 +47 21 27.303516396           ~ 23 0
71 Kepler-224e Pl 19 23 44.2255728048 +47 21 27.303516396           ~ 23 0
72 Kepler-85b Pl 19 23 53.6255300424 +45 17 25.088907084           ~ 33 1
73 Kepler-85e Pl 19 23 53.6255300424 +45 17 25.088907084           ~ 32 0
74 Kepler-783c Pl 19 24 15.1045257360 +47 29 05.294584536           ~ 22 0
75 Kepler-783b Pl 19 24 15.1045257360 +47 29 05.294584536           ~ 19 0
76 Kepler-122e Pl 19 24 26.8513235976 +39 56 56.599044504           ~ 26 0
77 Kepler-122c Pl 19 24 26.8513235976 +39 56 56.599044504           ~ 31 0
78 Kepler-191b Pl 19 24 44.0051264352 +45 19 23.397872412           ~ 14 0
79 Kepler-191d Pl 19 24 44.0051264352 +45 19 23.397872412           ~ 21 0
80 Kepler-191c Pl 19 24 44.0051264352 +45 19 23.397872412           ~ 21 0
81 Kepler-398c Pl 19 25 52.4829537816 +40 20 37.817930724           ~ 16 0
82 Kepler-398d Pl 19 25 52.4829537816 +40 20 37.817930724           ~ 16 0
83 Kepler-398b Pl 19 25 52.4829537816 +40 20 37.817930724           ~ 18 0
84 Kepler-220d Pl 19 26 01.4891656008 +46 53 44.783155752           ~ 25 0
85 Kepler-220e Pl 19 26 01.4891656008 +46 53 44.783155752           ~ 26 0
86 KOI-6097.01 Pl? 19 26 03.7857069384 +38 03 30.246037488           ~ 1 0
87 KOI-6097.03 Pl? 19 26 03.7857069384 +38 03 30.246037488           ~ 2 0
88 Kepler-206c Pl 19 26 32.3160238176 +41 50 01.919570028           ~ 32 0
89 Kepler-206b Pl 19 26 32.3160238176 +41 50 01.919570028           ~ 29 0
90 Kepler-206d Pl 19 26 32.3160238176 +41 50 01.919570028           ~ 32 0
91 Kepler-194d Pl 19 27 53.1541559712 +47 51 50.953209372           ~ 19 0
92 Kepler-194c Pl 19 27 53.1541559712 +47 51 50.953209372           ~ 26 0
93 Kepler-151b Pl 19 28 39.0692868792 +41 01 23.654847648           ~ 21 0
94 Kepler-151c Pl 19 28 39.0692868792 +41 01 23.654847648           ~ 19 0
95 Kepler-49c Pl 19 29 10.6951719216 +40 35 30.458944212           ~ 40 1
96 KOI-566.03 Pl? 19 29 15.8430175872 +42 37 34.571546328           ~ 3 0
97 KOI-566.02 Pl? 19 29 15.8430175872 +42 37 34.571546328           ~ 5 0
98 Kepler-604b Pl 19 29 15.8430175872 +42 37 34.571546328           ~ 15 0
99 Kepler-167b Pl 19 30 38.0261896920 +38 20 43.437246900           ~ 30 0
100 Kepler-167d Pl 19 30 38.0261896920 +38 20 43.437246900           ~ 30 0
101 Kepler-167c Pl 19 30 38.0261896920 +38 20 43.437246900           ~ 25 0
102 Kepler-758b Pl 19 32 20.3082335280 +41 08 07.560720276           ~ 20 0
103 Kepler-284b Pl 19 32 35.1576253440 +47 43 46.752755664           ~ 26 0
104 Kepler-284c Pl 19 32 35.1576253440 +47 43 46.752755664           ~ 24 0
105 Kepler-359d Pl 19 33 10.4713849608 +42 11 46.932423072           ~ 19 0
106 Kepler-359b Pl 19 33 10.4713849608 +42 11 46.932423072           ~ 20 0
107 Kepler-415c Pl 19 35 13.0600892904 +38 38 20.812574652           ~ 15 0
108 Kepler-326b Pl 19 37 18.1337949432 +46 00 08.063097696           ~ 28 0
109 Kepler-326d Pl 19 37 18.1337949432 +46 00 08.063097696           ~ 22 0
110 Kepler-385b Pl 19 37 21.2381878704 +50 20 11.547668976           ~ 23 0
111 KOI-2433.06 Pl? 19 37 21.2381878704 +50 20 11.547668976           ~ 10 0
112 KOI-6209.01 Pl? 19 37 46.5713349240 +46 20 09.541839264           ~ 7 0
113 KOI-6209.02 Pl? 19 37 46.5713349240 +46 20 09.541839264           ~ 5 0
114 Kepler-595c Pl 19 38 16.8883496904 +50 40 22.860462864           ~ 11 0
115 Kepler-168c Pl 19 38 50.4486077184 +39 49 30.308798568           ~ 19 0
116 Kepler-168b Pl 19 38 50.4486077184 +39 49 30.308798568           ~ 14 0
117 Kepler-1487b Pl 19 41 59.5458538080 +38 38 40.227621252           ~ 9 0
118 Kepler-180b Pl 19 42 17.1135492672 +49 46 28.430073048           ~ 17 0
119 Kepler-180c Pl 19 42 17.1135492672 +49 46 28.430073048           ~ 22 0
120 Kepler-252b Pl 19 42 19.0425467160 +44 32 45.416876280           ~ 18 0
121 Kepler-252c Pl 19 42 19.0425467160 +44 32 45.416876280           ~ 22 0
122 Kepler-365b Pl 19 42 30.3417490536 +49 07 49.456971480           ~ 15 0
123 Kepler-365c Pl 19 42 30.3417490536 +49 07 49.456971480           ~ 10 0
124 Kepler-292f Pl 19 43 03.8774957880 +42 25 27.449661468           ~ 24 0
125 Kepler-292d Pl 19 43 03.8774957880 +42 25 27.449661468           ~ 20 0
126 KOI-4500.03 Pl? 19 43 37.2018965424 +45 24 19.549852200           ~ 4 0
127 Kepler-1610b Pl 19 43 37.2018965424 +45 24 19.549852200           ~ 10 0
128 Kepler-1610c Pl 19 43 37.2018965424 +45 24 19.549852200           ~ 9 0
129 Kepler-119b Pl 19 43 47.1425123640 +42 39 32.062760136           ~ 21 0
130 Kepler-1641c Pl 19 45 26.2653425016 +41 34 28.330069800           ~ 9 0
131 Kepler-1641b Pl 19 45 26.2653425016 +41 34 28.330069800           ~ 8 0
132 Kepler-107c Pl 19 48 06.7734610824 +48 12 30.964175676           ~ 75 0
133 Kepler-107d Pl 19 48 06.7734610824 +48 12 30.964175676           ~ 33 0
134 Kepler-107e Pl 19 48 06.7734610824 +48 12 30.964175676           ~ 42 0
135 Kepler-203b Pl 19 48 21.5923608240 +41 23 16.986023880           ~ 26 0
136 Kepler-1543b Pl 19 48 29.8375353072 +47 02 13.340423904           ~ 8 0
137 KOI-4034.02 Pl? 19 48 29.8375353072 +47 02 13.340423904           ~ 4 0
138 KOI-2612.02 Pl? 19 48 35.7141286128 +46 17 48.950986128           ~ 18 0
139 Kepler-1994b Pl 19 48 35.7141286128 +46 17 48.950986128           ~ 18 0
140 Kepler-1154b Pl 19 49 54.5093602680 +39 52 38.087258664           ~ 13 0
141 Kepler-1154c Pl 19 49 54.5093602680 +39 52 38.087258664           ~ 7 0
142 Kepler-32c Pl 19 51 22.1744302704 +46 34 27.390583380           ~ 42 1
143 Kepler-32e Pl 19 51 22.1744302704 +46 34 27.390583380           ~ 32 0
144 Kepler-87b Pl 19 51 40.0490199888 +46 57 54.425250252           ~ 43 1
145 Kepler-87c Pl 19 51 40.0490199888 +46 57 54.425250252           ~ 54 1
146 KOI-945.03 Pl? 19 51 48.3843497256 +46 15 52.966262448           ~ 4 0
147 Kepler-1666c Pl 19 51 48.3843497256 +46 15 52.966262448           ~ 15 0
148 Kepler-143c Pl 19 52 16.2479222280 +49 24 45.292029912           ~ 24 0
149 Kepler-84d Pl 19 53 00.4851863233 +40 29 45.947737759           ~ 17 0
150 Kepler-84e Pl 19 53 00.4851863233 +40 29 45.947737759           ~ 21 0
151 Kepler-84c Pl 19 53 00.4851863233 +40 29 45.947737759           ~ 21 1
152 Kepler-84f Pl 19 53 00.4851863233 +40 29 45.947737759           ~ 20 0
153 KOI-4846.02 Pl? 19 53 07.7062953048 +44 16 19.404646896           ~ 3 0
154 Kepler-186d Pl 19 54 36.6535147488 +43 57 18.025920324           ~ 37 0
155 Kepler-445c Pl 19 54 56.6592332856 +46 29 54.793640508           ~ 26 0
156 Kepler-445b Pl 19 54 56.6592332856 +46 29 54.793640508           ~ 24 0
157 KOI-3029.02 Pl? 19 55 02.0072749248 +41 09 35.548099452           ~ 5 0
158 KOI-3029.01 Pl? 19 55 02.0072749248 +41 09 35.548099452           ~ 8 0
159 Kepler-305d Pl 19 56 53.8365433512 +40 20 35.445181812           ~ 32 0
160 Kepler-305b Pl 19 56 53.8365433512 +40 20 35.445181812           ~ 36 0
161 Kepler-1056b Pl 19 58 06.2381049984 +46 53 57.317147268           ~ 17 0
162 Kepler-352c Pl 19 59 35.1690264624 +46 03 07.162514676           ~ 26 0
163 Kepler-352b Pl 19 59 35.1690264624 +46 03 07.162514676           ~ 25 0
164 Kepler-79e Pl 20 02 04.1057010912 +44 22 53.646047436           ~ 52 1
165 Kepler-79c Pl 20 02 04.1057010912 +44 22 53.646047436           ~ 57 1

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