2013A&A...550A.126M


C.D.S. - SIMBAD4 rel 1.7 - 2020.07.11CEST20:27:44

2013A&A...550A.126M - Astronomy and Astrophysics, volume 550A, 126-126 (2013/2-1)

Asymptotic and measured large frequency separations.

MOSSER B., MICHEL E., BELKACEM K., GOUPIL M.J., BAGLIN A., BARBAN C., PROVOST J., SAMADI R., AUVERGNE M. and CATALA C.

Abstract (from CDS):

With the space-borne missions CoRoT and Kepler, a large amount of asteroseismic data is now available and has led to a variety of work. So-called global oscillation parameters are inferred to characterize the large sets of stars, perform ensemble asteroseismology, and derive scaling relations. The mean large separation is such a key parameter, easily deduced from the radial-frequency differences in the observed oscillation spectrum and closely related to the mean stellar density. It is therefore crucial to measure it with the highest accuracy in order to obtain the most precise asteroseismic indices. As the conditions of measurement of the large separation do not coincide with its theoretical definition, we revisit the asymptotic expressions used for analyzing the observed oscillation spectra. Then, we examine the consequence of the difference between the observed and asymptotic values of the mean large separation. The analysis is focused on radial modes. We use series of radial-mode frequencies in published analyses of stars with solar-like oscillations to compare the asymptotic and observational values of the large separation. This comparison relies on the proper use of the second-order asymptotic expansion. We propose a simple formulation to correct the observed value of the large separation and then derive its asymptotic counterpart. The measurement of the curvature of the radial ridges in the echelle diagram provides the correcting factor. We prove that, apart from glitches due to stellar structure discontinuities, the asymptotic expansion is valid from main-sequence stars to red giants. Our model shows that the asymptotic offset is close to 1/4, as in the theoretical development, for low-mass, main-sequence stars, subgiants and red giants. High-quality solar-like oscillation spectra derived from precise photometric measurements are definitely better described with the second-order asymptotic expansion. The second-order term is responsible for the curvature observed in the echelle diagrams used for analyzing the oscillation spectra, and this curvature is responsible for the difference between the observed and asymptotic values of the large separation. Taking it into account yields a revision of the scaling relations, which provides more accurate asteroseismic estimates of the stellar mass and radius. After correction of the bias (6% for the stellar radius and 3% for the mass), the performance of the calibrated relation is about 4% and 8% for estimating, respectively, the stellar radius and the stellar mass for masses less than 1.3M; the accuracy is twice as bad for higher mass stars and red giants.

Abstract Copyright:

Journal keyword(s): stars: oscillations - stars: interiors - methods: analytical - methods: data analysis

Simbad objects: 98

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Number of rows : 98

N Identifier Otype ICRS (J2000)
RA
ICRS (J2000)
DEC
Mag U Mag B Mag V Mag R Mag I Sp type #ref
1850 - 2020
#notes
1 HD 46375 PM* 06 33 12.6225933827 +05 27 46.527797938   8.70 7.84     K1IV 205 2
2 HD 49385A PM* 06 48 11.5030662194 +00 18 17.893672741   7.952 7.399 8.28   G0V 73 1
3 HD 49933 ** 06 50 49.831 -00 32 27.18           F3V 326 1
4 HD 50890 RG* 06 54 58.9169109104 -02 48 12.925826456   7.112 6.017     K2III 33 0
5 HD 52265 PM* 07 00 18.0357152121 -05 22 01.778490073   6.845 6.282     G0V 286 1
6 * alf CMi SB* 07 39 18.11950 +05 13 29.9552 0.82 0.79 0.37 -0.05 -0.28 F5IV-V+DQZ 1758 0
7 * alf Cen B PM* 14 39 35.06311 -60 50 15.0992 2.89 2.21 1.33     K1V 894 1
8 * alf Cen A SB* 14 39 36.49400 -60 50 02.3737 0.96 0.72 0.01     G2V 1138 0
9 * 18 Sco PM* 16 15 37.2703721200 -08 22 09.981989277   6.15 5.50     G2Va 484 0
10 * mu. Ara PM* 17 44 08.7036342277 -51 50 02.591049123   5.85 5.15     G3IV-V 465 2
11 HD 169392 ** 18 24 42.98571 -06 36 13.6684           G0IV+G2V 29 1
12 BD+47 2683 * 18 43 42.4230070169 +47 56 16.007259287   9.85 9.26     G0V 54 0
13 2MASS J18441281+4332024 RG* 18 44 12.8098541028 +43 32 02.365801764   10.69 9.67     K1IV 27 0
14 HD 173701 PM* 18 44 35.1192273920 +43 49 59.789089625   8.37 7.52     G8V 131 0
15 BD+46 2555 Ro* 18 47 39.2488304951 +46 41 09.978990968   9.98 9.52     F6IV 41 0
16 BD+47 2703 PM* 18 49 33.6588767037 +47 42 39.607284250   10.16 9.54     F9IV-V 36 0
17 BD+42 3187 RG* 18 54 16.9545538305 +42 59 00.382313454       9.6   G2 68 0
18 BD+45 2796 PM* 18 56 21.2644967292 +45 30 53.232987726   9.80 9.29     G0.5IV 67 0
19 HD 176071 PM* 18 56 22.1269692202 +45 30 25.359126300   8.81 8.33     F8IV 68 0
20 HD 176153 Ro* 18 56 36.6478619140 +47 39 23.163197712   9.20 8.68     F9IV-V 65 0
21 KIC 6928997 RG* 18 57 58.6495864521 +42 27 31.612652101   12.32 11.52     ~ 18 0
22 HD 176693 Ro* 18 59 08.6846510375 +48 25 23.598982331   9.34 8.83     F8V 96 0
23 KIC 9574283 RG* 18 59 09.8408917479 +46 17 05.702397367   11.99 10.99     ~ 19 0
24 KIC 9574650 RG* 18 59 58.6326813027 +46 14 30.260919560   12.71 11.81     K0II 18 0
25 KIC 9267654 RG* 19 00 07.4662980203 +45 45 32.504907285           K1IV 25 0
26 KIC 5858947 RG* 19 01 13.9625744549 +41 09 06.016394129   12.13 11.73     ~ 15 0
27 HD 177153 PM* 19 01 39.6781881955 +41 29 24.325583971   7.76 7.21     G0 88 0
28 TYC 3545-1033-1 * 19 04 45.6028236992 +48 21 33.385044320   11.54 11.00     F6IV 20 0
29 BD+38 3428 PM* 19 05 45.2616790117 +38 31 22.560089042   9.77 9.22     F9IV-V 47 0
30 HD 178509 Ro* 19 06 55.9483071065 +42 40 19.337596523   9.39 8.86     F8IV 43 0
31 BD+42 3247 PM* 19 06 58.3261704119 +42 26 08.264161006   10.32 9.75     G0.5IV 55 0
32 BD+49 2935 RG* 19 06 59.9010647441 +49 32 24.405411314   10.68 9.54     K0 17 0
33 HD 179070 Ro* 19 09 26.8351401260 +38 42 50.455094310   8.767 8.25 8.00   F6IV 134 1
34 KIC 9332840 RG* 19 09 29.3465792858 +45 49 33.893695674           G9.5III 16 0
35 2MASS J19093566+3929507 RG* 19 09 35.6702135726 +39 29 50.698237174   11.25 10.19 9.835   ~ 23 0
36 TYC 3550-300-1 * 19 09 55.5030371756 +49 15 04.350458355   11.69 10.95     G4-5IV-V 23 0
37 TYC 3125-915-1 * 19 10 35.1288130744 +40 50 35.020482771   11.61 10.72     G3.5III 15 0
38 HD 179421 Er* 19 10 50.6163110275 +39 10 17.974536767   9.36 7.7957     K5 19 0
39 KIC 9882316 RG* 19 10 58.6391649247 +46 46 53.811250993           G8IV-V 24 0
40 KIC 5000307 RG* 19 13 39.1173521815 +40 11 04.687711091   11.99 11.43     G8IV-V 24 0
41 KIC 12008916 RG* 19 16 23.1885554023 +50 25 37.851149303   13.53 11.94     K1III 19 0
42 BD+39 3706 PM* 19 16 34.9029087477 +40 02 50.362111184       9.1   G1.5V 60 0
43 HD 234856 Ro* 19 17 45.8021284617 +50 28 48.273320177   9.87 9.32     F9IV-V 65 0
44 HD 181207 PM* 19 17 46.3566541779 +41 24 36.837551319   9.06 8.47     F9IV-V 72 0
45 BD+43 3209 * 19 18 54.1341967279 +43 29 46.690440128   10.14 9.52 9.46   F9IV-V 30 0
46 KIC 5356201 RG* 19 19 24.5601692393 +40 31 44.799178708           K2III 15 0
47 HD 181420 PM* 19 20 27.0723438937 -01 18 35.134035438   6.98 6.55     F6V 79 0
48 BD+41 3315 Ro* 19 20 29.3443116497 +41 17 28.510094167   9.92 9.38     F9IV-V 28 0
49 BD+43 3221 * 19 20 47.9394314405 +44 09 18.749657280   10.03 9.50     F9IV-V 56 0
50 TYC 3555-1403-1 * 19 20 52.7237209312 +51 28 18.245887116   10.68 9.78     K0III-IV 24 0
51 BD+48 2882 Ro* 19 21 24.640392 +48 30 53.31924   10.27 9.45 9.36   G1V 44 0
52 BD+48 2887 * 19 22 20.2270265103 +48 41 43.494023410   9.43 9.01     F5IV 35 0
53 HD 181907 RG* 19 22 21.5484905118 -00 15 08.489087052   6.906 5.811     K1III 51 0
54 BD+38 3559 RG* 19 22 27.4543322675 +38 50 52.907500781   10.79 9.81     K2 27 0
55 HD 182633 * 19 23 36.9152494751 +43 53 28.650519104   8.97 8.47     F5IV-V 21 0
56 BD+43 3228 PM* 19 23 56.4114026497 +43 18 52.534860977   10.84 10.15     G0V 47 0
57 HD 182736 Er* 19 24 03.3794425774 +44 56 00.735214599   7.82 7.01     G8IV 60 0
58 BD+41 3338 * 19 24 11.1934178701 +42 03 09.726580716   9.97 9.19     G8IV-V 57 0
59 HD 182756 * 19 24 30.3488994710 +40 19 23.671169678   9.01 8.31     G1V 52 0
60 KIC 2013502 RG* 19 24 45.8458270397 +37 29 38.559437809   12.36 11.52     K1III 20 0
61 KIC 10273246 * 19 26 05.7609898908 +47 21 30.043012585   11.40 10.80 10.77   F9IV-V 12 0
62 HD 183298 PM* 19 26 22.0908800928 +50 59 14.333199265   8.71 8.16     G0.5IV 76 0
63 TYC 3551-149-1 PM* 19 27 20.4902312930 +48 57 12.008653325   10.59 9.85     G5IV 43 0
64 KIC 10920273 * 19 27 45.7619622876 +48 19 45.419368785   12.04 11.64 12.02   G1.5IV-V 16 0
65 KIC 8366239 RG* 19 28 19.0902589679 +44 19 18.594810144   13.35 11.71     G6V 39 0
66 BD+36 3570 Ro* 19 28 19.8470073047 +37 03 35.395152315   9.40 8.97     F8IV 49 0
67 TYC 3551-1158-1 * 19 29 01.8628926338 +49 51 54.858932779   11.39 10.83     G2V 17 0
68 HD 184401 PM* 19 32 14.5965136348 +45 18 38.296572485   9.63 8.95     G5 38 0
69 TYC 3564-2640-1 Ro* 19 34 00.2765683778 +48 50 08.883653506   11.60 10.88     G8IV-V 17 0
70 BD+46 2726 * 19 34 43.0023412508 +46 51 09.934561072   10.36 9.64     K0V 93 0
71 TYC 3143-53-1 Ro* 19 35 03.7375425270 +42 44 16.720275774   10.31 9.85     F8IV 50 0
72 BD+44 3183 PM* 19 35 50.5740210502 +44 52 50.020113052   9.38 8.92     G0IV 46 0
73 KIC 10866415 RG* 19 35 59.6203950263 +48 17 30.377253715   12.64 11.52     K1IV 20 0
74 BD+49 3061 * 19 36 18.8485267350 +49 49 26.943139394   10.32 9.49     G8IV 26 0
75 TYC 3135-624-1 PM* 19 36 48.8136899967 +38 42 56.787490867   10.35 9.55     G5IV 59 0
76 BD+44 3197 PM* 19 37 54.5253612516 +44 59 04.628808348       9.3   G0IV 58 0
77 TYC 3556-909-1 PM* 19 37 56.6968956803 +45 57 52.271767840   11.31 10.78     F5 35 0
78 HD 185834 * 19 39 00.6725787612 +46 54 06.983774230   9.26 8.78     F6IV 31 0
79 TYC 3556-3445-1 Ro* 19 40 21.2108165107 +45 29 20.960913818   10.48 9.91     G3V 56 0
80 HD 186355 RG* 19 41 35.3528398825 +49 41 43.262260206   8.90 7.93     G5 18 0
81 * 16 Cyg A ** 19 41 48.9539315338 +50 31 30.218780803 6.79 6.59 5.95 5.50 5.17 G1.5Vb 675 1
82 * 16 Cyg B PM* 19 41 51.9731830550 +50 31 03.086127222 7.07 6.86 6.20 5.76 5.42 G3V 793 1
83 HD 186700 PM* 19 43 39.6224377398 +48 55 43.808257365   8.86 8.47     F5IV-V 56 0
84 KIC 11771760 * 19 43 57.7106783927 +49 55 21.497629035   12.02 11.89     G0 20 0
85 KIC 8378462 RG* 19 44 58.1936642080 +44 19 05.089049613   12.76 11.40     G9III 15 0
86 TYC 3565-1235-1 PM* 19 45 45.9641996340 +49 59 18.850030411   10.68 9.84     K1V 27 0
87 BD+44 3244 * 19 46 17.8467474629 +44 49 39.612542675   10.24 9.51     G5IV-V 29 0
88 HD 234998 PM* 19 46 37.7416540232 +51 01 13.523892663   9.16 8.75     F5 32 0
89 HD 187160 SB* 19 46 41.3660194374 +44 20 54.685297711   7.650 7.083     F9IV-V 77 0
90 BD+43 3368 * 19 48 14.2913903442 +43 44 48.960378018   9.63 9.17     F8V 32 0
91 HD 187582 Ro* 19 48 22.4076479727 +49 14 11.851311440   9.40 8.71     G3V 28 0
92 2MASS J19493651+4124143 RG* 19 49 36.5255261248 +41 24 14.226498569   12.22 11.22     ~ 25 0
93 HD 226069 RG* 19 50 04.5838236604 +39 52 21.579412468   10.78 9.767     K1III 21 0
94 BD+47 2934 Ro* 19 50 14.2730383424 +47 28 25.164868973   9.68 9.24     F5IV-V 36 0
95 HD 188819 Ro* 19 54 54.1811994176 +47 08 42.947274296   9.12 8.66     F8IV 48 0
96 HD 190166 PM* 20 01 51.4250664631 +44 21 14.146704965   10.13 9.58     F8V 42 0
97 HD 190319 PM* 20 02 33.3210968716 +44 31 58.993652979   10.63 9.91     G2.5V 26 0
98 * gam Pav PM* 21 26 26.6048372 -65 21 58.314484 4.57 4.70 4.22 3.75 3.45 F9VFe-1.4CH-0.7 376 0

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2020.07.11-20:27:44

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