2013ApJ...764...18L

Query : 2013ApJ...764...18L

2013ApJ...764...18L - Astrophys. J., 764, 18 (2013/February-2)

Pulsation frequencies and modes of giant exoplanets.

LE BIHAN B. and BURROWS A.

Abstract (from CDS):

We calculate the eigenfrequencies and eigenfunctions of the acoustic oscillations of giant exoplanets and explore the dependence of the characteristic frequency ν0 and the eigenfrequencies on several parameters: the planet mass, the planet radius, the core mass, and the heavy element mass fraction in the envelope. We provide the eigenvalues for degree l up to 8 and radial order n up to 12. For the selected values of l and n, we find that the pulsation eigenfrequencies depend strongly on the planet mass and radius, especially at high frequency. We quantify this dependence through the calculation of the characteristic frequency ν0 which gives us an estimate of the scale of the eigenvalue spectrum at high frequency. For the mass range 0.5 MJ ≤ MP ≤ 15 MJ, and fixing the planet radius to the Jovian value, we find that ν0∼ 164.0x(MP/MJ)0.48µHz, where MP is the planet mass and MJ is Jupiter's mass. For the radius range from 0.9 to 2.0 RJ, and fixing the planet's mass to the Jovian value, we find that ν0∼ 164.0x(RP/RJ)–2.09µHz, where RP is the planet radius and RJ is Jupiter's radius. We explore the influence of the presence of a dense core on the pulsation frequencies and on the characteristic frequency of giant exoplanets. We find that the presence of heavy elements in the envelope affects the eigenvalue distribution in ways similar to the presence of a dense core. Additionally, we apply our formalism to Jupiter and Saturn and find results consistent with both the observational data of Gaulme et al. and previous theoretical work.

Abstract Copyright: ∼

Journal keyword(s): methods: numerical - planets and satellites: fundamental parameters - planets and satellites: general - planets and satellites: interiors

VizieR on-line data: <Available at CDS (J/ApJ/764/18): table6.dat>

Simbad objects: 174

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Number of rows : 174
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 WASP-44b Pl 00 15 36.7694650296 -11 56 17.284833996           ~ 39 1
2 WASP-32b Pl 00 15 50.8077262344 +01 12 01.588900896           ~ 47 1
3 WASP-26b Pl 00 18 24.7008060816 -15 16 02.275778784           ~ 50 1
4 CD-24 102b Pl 00 20 38.5350433008 -23 56 08.602809216           ~ 39 1
5 WASP-1b Pl 00 20 40.0745768856 +31 59 23.954809596           ~ 134 1
6 WASP-45b Pl 00 20 56.9941303416 -35 59 53.746646676           ~ 44 1
7 HAT-P-19b Pl 00 38 04.0135699416 +34 42 41.553538560           ~ 74 1
8 HAT-P-16b Pl 00 38 17.5584024024 +42 27 47.216738232           ~ 67 1
9 HAT-P-28b Pl 00 52 00.1876130976 +34 43 42.205232532           ~ 29 1
10 HD 10069b Pl 01 37 25.0332798696 -45 40 40.374717456           ~ 444 1
11 HAT-P-32b Pl 02 04 10.2774374568 +46 41 16.212315084           ~ 198 1
12 WASP-53b Pl 02 07 38.2094562696 -20 39 42.758493948           ~ 28 1
13 HAT-P-29b Pl 02 12 31.4787454416 +51 46 43.563748620           ~ 34 1
14 HAT-P-38b Pl 02 21 31.9803537360 +32 14 46.093339140           ~ 45 2
15 HD 15082b Pl 02 26 51.0582618096 +37 33 01.736482032           ~ 403 1
16 HD 17156b Pl 02 49 44.4871034544 +71 45 11.629235988           ~ 197 1
17 WASP-50b Pl 02 54 45.1341750384 -10 53 53.025224640           ~ 46 1
18 WASP-11b Pl 03 09 28.5433589520 +30 40 24.862993356           ~ 83 1
19 HAT-P-25b Pl 03 13 44.4981245184 +25 11 50.689343148           ~ 41 1
20 WASP-22b Pl 03 31 16.3267124400 -23 49 10.840600632           ~ 51 1
21 WASP-78b Pl 04 15 01.5042985272 -22 06 59.103350532           ~ 55 1
22 HAT-P-15b Pl 04 24 59.5350210144 +39 27 38.312978976           ~ 60 1
23 CD-30 1812b Pl 04 25 29.0166589296 -30 36 01.610731368           ~ 104 1
24 WASP-61b Pl 05 01 11.9186755656 -26 03 14.967643572           ~ 32 1
25 BD-06 1077b Pl 05 04 19.6323194352 -06 13 47.378185788           ~ 40 1
26 CPD-64 484b Pl 05 48 33.5933253192 -63 59 18.388382028           ~ 73 1
27 WASP-49b Pl 06 04 21.4735743408 -16 57 55.108744668           ~ 71 1
28 HD 42176b Pl 06 10 39.3452642664 +30 57 25.713412668           ~ 43 1
29 CD-38 2551b Pl 06 17 20.7484979472 -38 19 23.754062640           ~ 61 1
30 CoRoT-19b Pl 06 28 08.0586807504 -00 10 14.532816504           ~ 35 1
31 WASP-12b Pl 06 30 32.7966092352 +29 40 20.263502460           ~ 847 1
32 CoRoT-18b Pl 06 32 41.3776636176 -00 01 53.725599732           ~ 45 1
33 CoRoT-12b Pl 06 43 03.7630314144 -01 17 47.144066352           ~ 39 1
34 CoRoT-21b Pl 06 44 12.6302250707 -00 17 56.987010804           ~ 22 2
35 WASP-23b Pl 06 44 30.6133625784 -42 45 42.666796404           ~ 35 1
36 CoRoT-5b Pl 06 45 06.5406550272 +00 48 54.905787036           ~ 52 1
37 CoRoT-1b Pl 06 48 19.1723766840 -03 06 07.710745140           ~ 187 1
38 CoRoT-4b Pl 06 48 46.7134456728 -00 40 21.969631416           ~ 69 1
39 CoRoT-13b Pl 06 50 53.0726565720 -05 05 11.190799896           ~ 38 1
40 CoRoT-14b Pl 06 53 41.8087553160 -05 32 09.683309760           ~ 39 1
41 HAT-P-24b Pl 07 15 18.0193656720 +14 15 45.408025008           ~ 47 1
42 HAT-P-9b Pl 07 20 40.4564614032 +37 08 26.342829060           ~ 73 1
43 HAT-P-33b Pl 07 32 44.2173520776 +33 50 06.115051104           ~ 59 1
44 LSPM J0746+2000 BD* 07 46 42.56207 +20 00 32.1839       17.9 15.034 L0+L1.5 201 1
45 BD+50 1471b Pl 07 48 06.4723053776 +50 13 32.920598923           ~ 170 1
46 HAT-P-35b Pl 08 13 00.1784913648 +04 47 13.416267948           ~ 32 1
47 BD+06 1909b Pl 08 15 47.9802408792 +05 50 12.350816484           ~ 73 1
48 HAT-P-13b Pl 08 39 31.8072358440 +47 21 07.273799280           ~ 128 1
49 WASP-36b Pl 08 46 19.2977439552 -08 01 37.015743396           ~ 54 1
50 WASP-65b Pl 08 53 17.8288214088 +08 31 22.809193788           ~ 26 2
51 BD+34 1976b Pl 09 20 24.7145388600 +33 52 56.696039796           ~ 69 1
52 HD 80606b Pl 09 22 37.5768032712 +50 36 13.435326684           ~ 369 1
53 WASP-19b Pl 09 53 40.0765648584 -45 39 33.057187596           ~ 423 1
54 WASP-43b Pl 10 19 38.0088913464 -09 48 22.605801336           ~ 442 1
55 HD 233731b Pl 10 22 43.5923328528 +50 07 42.062425248           ~ 52 1
56 WASP-66b Pl 10 32 53.9927754048 -34 59 23.457552792           ~ 27 1
57 NAME OGLE-TR 211b Pl 10 40 14.3828284632 -62 27 20.018236464           ~ 31 1
58 NAME OGLE-TR-132b Pl 10 50 34.5943868112 -61 57 26.138690064           ~ 105 1
59 OGLE-TR 132 V* 10 50 34.5943868112 -61 57 26.138690064         15.72 F 99 1
60 NAME OGLE-TR-113b Pl 10 52 24.2810533560 -61 26 48.845675976           ~ 120 1
61 OGLE-TR 113 SB* 10 52 24.2810533560 -61 26 48.845675976     16.08 15.407 14.42 K 119 1
62 NAME OGLE-TR-111b Pl 10 53 17.8069115424 -61 24 20.607791112           ~ 114 1
63 OGLE-TR 111 V* 10 53 17.8069115424 -61 24 20.607791112     16.96 16.05 15.55 G 94 1
64 CD-23 9677b Pl 11 01 35.8978277184 -23 51 38.386984896           ~ 59 1
65 NAME OGLE2-TR L9b Pl 11 07 55.1808382920 -61 08 46.537684260           ~ 30 1
66 NAME OGLE-TR 182b Pl 11 09 18.7248783144 -61 05 42.962710884           ~ 37 1
67 WASP-31b Pl 11 17 45.3578677224 -19 03 17.217631800           ~ 143 1
68 HAT-P-21b Pl 11 25 05.9859193536 +41 01 40.664937216           ~ 43 1
69 HATS-1b Pl 11 42 06.0806028384 -23 21 17.431249716           ~ 26 1
70 WASP-56b Pl 12 13 27.8908484520 +23 03 20.427638472           ~ 23 1
71 HAT-P-36b Pl 12 33 03.9061156728 +44 54 55.196024616           ~ 48 1
72 CD-29 9873b Pl 12 42 28.4949559632 -30 38 23.529045948           ~ 44 1
73 WASP-42b Pl 12 51 55.5581398320 -42 04 25.096306584           ~ 33 1
74 WASP-25b Pl 13 01 26.3760406392 -27 31 19.922387484           ~ 50 1
75 WASP-55b Pl 13 35 01.9537865424 -17 30 12.527623872           ~ 35 1
76 BD+00 3088b Pl 13 41 49.0301166312 -00 07 41.032748568           ~ 30 1
77 Qatar 2b Pl 13 50 37.4100326640 -06 48 14.421574044           ~ 55 1
78 CD-31 10766b Pl 13 55 42.7120177608 -32 09 34.616222028           ~ 84 1
79 HAT-P-12b Pl 13 57 33.4668726399 +43 29 36.601508739           ~ 201 1
80 WASP-16b Pl 14 18 43.9225013904 -20 16 31.843626168           ~ 60 1
81 WASP-39b Pl 14 29 18.4151689656 -03 26 40.204480380           ~ 345 1
82 BD+22 2716b Pl 14 33 06.3571702344 +21 53 40.981395876           ~ 170 1
83 WASP-37b Pl 14 47 46.5619510032 +01 03 53.799541704           ~ 34 1
84 WASP-40b Pl 14 51 04.1870399712 +05 56 50.548526376           ~ 47 1
85 WASP-57b Pl 14 55 16.8228361512 -02 03 27.599615424           ~ 20 1
86 WASP-24b Pl 15 08 51.7367171808 +02 20 35.962165104           ~ 58 1
87 BD+36 2593b Pl 15 19 57.9203617176 +36 13 46.738078788           ~ 86 1
88 V* GQ Lup B LM* 15 49 12.05 -35 39 05.1           M9e 165 1
89 CD-27 10695b Pl 15 59 50.9491505016 -28 03 42.312819096           ~ 313 1
90 BD+28 2507b Pl 16 02 11.8462322592 +28 10 10.420201452           ~ 195 1
91 RX J1609.5-2105B LM* 16 09 30.377 -21 04 56.97           ~ 123 0
92 HD 146389b Pl 16 15 50.3653280520 +10 01 57.284258556           ~ 57 1
93 HD 147506b Pl 16 20 36.3576063720 +41 02 53.106772488           ~ 274 1
94 HD 149026b Pl 16 30 29.6185771608 +38 20 50.308980864           ~ 388 1
95 HAT-P-18b Pl 17 05 23.1475097496 +33 00 44.940001716           ~ 153 1
96 BD+38 2917b Pl 17 20 27.8781604680 +38 14 31.908984936           ~ 95 1
97 NAME OGLE-TR-10b Pl 17 51 28.2593510544 -29 52 35.231024064           ~ 90 1
98 TrES-3 Pl 17 52 07.0184259768 +37 32 46.237377840           ~ 245 2
99 TOI-2124b Pl 17 53 13.0489562760 +37 12 42.586493328           ~ 228 2
100 NAME OGLE-TR-56b Pl 17 56 35.5016678064 -29 32 21.479240220           ~ 202 1
101 OGLE-TR 56 SB* 17 56 35.5016678064 -29 32 21.479240220     16.560 16.07 15.30 ~ 174 1
102 SWEEPS 11 Pl 17 59 02.67 -29 11 53.5           ~ 30 1
103 HAT-P-31b Pl 18 06 09.0498478464 +26 25 35.989962204           ~ 41 1
104 HAT-P-5b Pl 18 17 37.3126923960 +36 37 17.170401468           ~ 71 1
105 WASP-58b Pl 18 18 48.2529552984 +45 10 19.260291288           ~ 35 1
106 CoRoT-16b Pl 18 34 05.9187219720 -06 00 09.244242972           ~ 28 2
107 BD+35 3293b Pl 18 34 31.6252443960 +35 39 41.491899468           ~ 126 1
108 CoRoT-17b Pl 18 34 47.8211904504 -06 36 44.113807836           ~ 29 1
109 CoRoT-23b Pl 18 39 07.8405328128 +04 21 28.034371188           ~ 24 1
110 CoRoT-11b Pl 18 42 44.9499236256 +05 56 15.652972716           ~ 52 1
111 CoRoT-9b Pl 18 43 08.8100358120 +06 12 14.913236808           ~ 73 1
112 CoRoT-6b Pl 18 44 17.4078666144 +06 39 47.513042100           ~ 49 1
113 Kepler-8b Pl 18 45 09.1489991376 +42 27 03.891327156           ~ 98 1
114 HAT-P-37b Pl 18 57 11.0562256392 +51 16 08.850467640           ~ 33 1
115 Kepler-43b Pl 19 00 57.8034040200 +46 40 05.665887660           ~ 62 1
116 Kepler-30d Pl 19 01 08.0746104528 +38 56 50.218268856           ~ 71 1
117 Kepler-30c Pl 19 01 08.0746104528 +38 56 50.218268856           ~ 78 1
118 Kepler-9c Pl 19 02 17.7544327200 +38 24 03.176851896           ~ 109 1
119 Kepler-9b Pl 19 02 17.7544327200 +38 24 03.176851896           ~ 121 1
120 NAME V672 Lyr b Pl 19 04 09.8515616256 +36 37 57.446680296           ~ 354 1
121 Kepler-412b Pl 19 04 26.4756849829 +43 40 51.351551801           ~ 51 1
122 Kepler-12b Pl 19 04 58.4220633696 +50 02 25.271762064           ~ 97 1
123 Kepler-1b Pl 19 07 14.0375836512 +49 18 59.091482160           ~ 349 2
124 BD+46 2629 ** 19 07 53.104944 +46 52 06.00420   10.12 9.70 9.80   kA2hA5mA7(IV)m: 173 0
125 Kepler-14b Pl 19 10 50.110176 +47 19 58.87632           ~ 65 1
126 Kepler-7b Pl 19 14 19.5623105760 +41 05 23.367379128           ~ 222 1
127 CoRoT-10b Pl 19 24 15.2869439208 +00 44 46.002641280           ~ 61 1
128 WASP-48b Pl 19 24 38.9614451424 +55 28 23.332107108           ~ 65 1
129 CoRoT-2b Pl 19 27 06.4944378024 +01 23 01.359897468           ~ 256 1
130 CoRoT-3b Pl 19 28 13.2642131544 +00 07 18.613986132           ~ 148 1
131 BD+47 2846b Pl 19 28 59.3538826128 +47 58 10.217007804           ~ 415 1
132 Kepler-45b Pl 19 31 29.4966491088 +41 03 51.356401092           ~ 99 1
133 WASP-67b Pl 19 42 58.5218345280 -19 56 58.521259680           ~ 60 1
134 Kepler-15b Pl 19 44 48.1365025872 +49 08 24.297539028           ~ 61 1
135 Kepler-34b Pl 19 45 44.5974898536 +44 38 29.610983076           ~ 115 1
136 Kepler-40b Pl 19 47 15.2874297936 +47 31 35.665322736           ~ 39 1
137 Kepler-6b Pl 19 47 20.9379557640 +48 14 23.759029608           ~ 106 1
138 Kepler-39b Pl 19 47 50.4745594512 +46 02 03.499726272           ~ 73 1
139 Kepler-17b Pl 19 53 34.8643397568 +47 48 54.049530564           ~ 110 1
140 Kepler-5b Pl 19 57 37.6884643560 +44 02 06.189718884           ~ 106 1
141 Kepler-44b Pl 20 00 24.5656977240 +45 45 43.762595112           ~ 46 1
142 HD 189733b Pl 20 00 43.7129433648 +22 42 39.073143456           ~ 1610 1
143 HD 351766b Pl 20 12 46.8865572432 +18 06 17.402572008           ~ 50 1
144 Qatar 1b Pl 20 13 31.6172746704 +65 09 43.492226796           ~ 88 1
145 HD 193334b Pl 20 20 22.9858049352 -19 18 52.919657352           ~ 19 1
146 TrES-5 Pl 20 20 53.2481854560 +59 26 55.575277296           ~ 58 2
147 HAT-P-23b Pl 20 24 29.7234392904 +16 45 43.811510112           ~ 81 1
148 WASP-2b Pl 20 30 54.1282355304 +06 25 46.341284844           ~ 112 1
149 HD 197286b Pl 20 44 10.2208462488 -39 13 30.855881604           ~ 76 1
150 BD-05 5432b Pl 21 00 06.1968214728 -05 05 40.034944176           ~ 219 1
151 WASP-46b Pl 21 14 56.8598669520 -55 52 18.458085144           ~ 54 1
152 HAT-P-17b Pl 21 38 08.7310010424 +30 29 19.446386748           ~ 102 1
153 2MASS J21402931+1625183 ** 21 40 29.3219106816 +16 25 18.097174704         15.36 M8+M9.5 35 0
154 V* HN Peg BY* 21 44 31.3299461136 +14 46 18.983292600       6.16   G0V+ 561 0
155 HD 209458b Pl 22 03 10.7727465312 +18 53 03.549393384           ~ 2037 1
156 WASP-47b Pl 22 04 48.7261549272 -12 01 07.998743676           ~ 116 1
157 2MASSW J2206228-204705 SB* 22 06 22.8297746064 -20 47 06.597790152     19.788 17.452 14.877 M8.0V 50 0
158 BD+34 4779b Pl 22 52 09.8636387352 +35 26 49.608422844           ~ 85 1
159 NAME BD+37 4734Bb Pl 22 57 46.8442481880 +38 40 30.358351704           ~ 268 1
160 HD 218396c Pl 23 07 28.7157209544 +21 08 03.310767492           ~ 312 1
161 HD 218396d Pl 23 07 28.7157209544 +21 08 03.310767492           ~ 286 1
162 HD 218396b Pl 23 07 28.7157209544 +21 08 03.310767492           ~ 323 1
163 WASP-21b Pl 23 09 58.2534443016 +18 23 45.885822792           ~ 71 1
164 WASP-6b Pl 23 12 37.7368282608 -22 40 26.273805024           ~ 150 1
165 WASP-52b Pl 23 13 58.7576098848 +08 45 40.572305352           ~ 155 1
166 WASP-10b Pl 23 15 58.3006181424 +31 27 46.296056268           ~ 118 1
167 WASP-59b Pl 23 18 29.5474746528 +24 53 21.438581712           ~ 41 1
168 WASP-4b Pl 23 34 15.0857248317 -42 03 41.047972591           ~ 197 1
169 K2-1b Pl 23 34 27.8814904872 -01 34 48.110067912           ~ 43 1
170 BD+41 4831b Pl 23 39 05.8102996968 +42 27 57.505293900           ~ 94 1
171 WASP-60b Pl 23 46 39.9747314352 +31 09 21.374361072           ~ 30 1
172 CD-40 15273b Pl 23 51 31.0839097560 -39 54 24.258188484           ~ 88 1
173 WASP-5b Pl 23 57 23.7564672192 -41 16 37.743700800           ~ 103 1
174 CD-35 16019b Pl 23 59 36.0711872328 -35 01 52.923618408           ~ 144 0

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