J/ApJS/266/28 Orbital parameters of Kepler heartbeat stars (Li+, 2023)
Modeling and orbital parameters of Kepler heartbeat stars.
Li M.-Y., Qian S.-B., Zhu L.-Y., Liao W.-P., Zhao E.-G., Shi X.-D.,
Sun Q.-B.
<Astrophys. J. Suppl. Ser., 266, 28 (2023)>
=2023ApJS..266...28L 2023ApJS..266...28L
ADC_Keywords: Stars, double and multiple; Binaries, orbits; Photometry; Optical
Keywords: Binary stars ; Elliptical orbits
Abstract:
Heartbeat stars (HBSs) are astrophysical laboratories for studying
binaries with eccentric orbits. A catalog of 173 Kepler HBSs was
reported by Kirk+ (2016, J/AJ/151/68), and we have modeled 153 of them
by using a corrected version of Kumar+ (1995ApJ...449..294K 1995ApJ...449..294K)'s model
based on the Markov Chain Monte Carlo method. The orbital parameters,
including orbital period, eccentricity, orbital inclination, the
argument of periastron, and epoch of the periastron passage of these
HBSs, have been determined and are presented. Orbital parameters of
more than 100 systems are obtained for the first time. After comparing
the parameters of 38 overlapping systems with previous works, it is
shown that the orbital parameters of HBSs can be reliably derived
using this method. These samples can also be valuable targets for
future studies of the structures and evolution of HBSs. The
eccentricity-period (e-P) relation also reveals the existence of
orbital circularization in HBSs. We then propose an empirical equation
for the relationship between the upper limit of eccentricity and the
orbital period in systems with orbital periods less than 10 days based
on the e-P relation. In addition, it is possible that seven systems in
the catalog with eccentricity less than 0.02 should be excluded from
the HBS candidates.
Description:
The NASA Kepler Mission provided essentially uninterrupted and
ultra-high-precision photometric data.
Kirk+ 2016, J/AJ/151/68 constructed the catalog from ∼200,000 objects
released by the Kepler mission Q0 to Q17 within a 105deg2 field of
view in the constellations of Cygnus and Lyra. The online catalog
provides the raw and detrended data for ∼30 minutes (long) cadence and
raw ∼1 minute (short) cadence data spanning from 2009 May to 2013 May.
We have downloaded the catalog and photometric data of the Kirk+
153 Heartbeat stars (HBSs) and used the detrended data for our analysis.
We have also downloaded all available quarters of the Kepler public
data using the lightkurve package, and extracted the PDCSAP fluxes for
comparison when selecting the data source.
File Summary:
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FileName Lrecl Records Explanations
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ReadMe 80 . This file
table1.dat 147 152 Parameters of the K95+ model fitted to the
Kepler light curves of 152 HBSs
table2.dat 161 1 Parameters of the K95+ extended model fitted
to KIC 7591456
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See also:
B/sb9 : SB9: 9th Catalogue of Spectroscopic Binary Orbits (Pourbaix+ 2004-2014)
V/133 : Kepler Input Catalog (Kepler Mission Team, 2009)
J/AJ/151/68 : Kepler Mission. VII. Eclipsing binaries in DR3 (Kirk+, 2016)
J/ApJ/829/34 : Kepler heartbeat star radial velocities (Shporer+, 2016)
J/MNRAS/469/2089 : Radial velocity curves of 7 KIC (Dimitrov+, 2017)
J/ApJS/259/16 : Heartbeat stars from OGLE (Wrona+, 2022)
J/ApJS/262/10 : Kepler eclipsing binaries with Gaia data (Knote+, 2022)
Byte-by-byte Description of file: table1.dat
--------------------------------------------------------------------------------
Bytes Format Units Label Explanations
--------------------------------------------------------------------------------
1- 8 I8 --- KIC [1573836/12255108] Kepler Input Catalog ID
10- 10 I1 --- TEO [0/1] Tidally excited oscillation
(1: with TEOs; 0: without TEOs)
12- 12 I1 --- Data [0/1]? Data used (1)
14- 25 F12.8 d Per [0.95/438] Orbital period
27- 36 F10.8 d e_Per [6e-08/0.01] Uncertainty of Per
38- 44 F7.5 --- e [0.0002/0.95] Eccentricity
46- 52 F7.5 --- e_e [1e-05/0.01] uncertainty of e
54- 59 F6.3 deg i [1/90.01] Inclination
61- 65 F5.3 deg e_i [0.001/3.6] Uncertainty of i
67- 73 F7.3 deg omega [4/179.3] Argument of periastron
75- 80 F6.3 deg e_omega [0.002/14] Uncertainty of omega
82- 93 F12.6 d T0 [54953.59/56314.4] Epoch of the periastron
passage, BJD-2400000
95-102 F8.6 d e_T0 [1.9e-05/0.2] Uncertainty T0
104-113 F10.8 --- S [5.2e-07/1.01] Factor of amplitude scaling
115-124 F10.8 --- e_S [1e-08/0.15] Uncertainty of S
126-136 F11.8 --- C [-1/0.0011] Fractional flux offset
138-147 F10.8 --- e_C [4e-08/0.15] Uncertainty of C
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Note (1): Data used; see Section 2 in the text for details. Code as follows:
1 = Kepler PDCSAP data;
0 = Kirk+ 2016, J/AJ/151/68 data.
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Byte-by-byte Description of file: table2.dat
--------------------------------------------------------------------------------
Bytes Format Units Label Explanations
--------------------------------------------------------------------------------
1- 7 I7 --- KIC [7591456] Kepler Input Catalog identifier
9- 9 I1 --- TEO [0] Tidally excited oscillation
(always "0": without TEOs)
11- 11 I1 --- Data [0] Data used
(always "0": Kirk+ 2016, J/AJ/151/68)
13- 21 F9.7 d Per [5.835597] Orbital period
23- 31 F9.7 d e_Per [3.7e-06] Uncertainty of Per
33- 39 F7.5 --- e [0.29862] Eccentricity
41- 47 F7.5 --- e_e [0.00039] uncertainty of e
49- 54 F6.3 deg i [36.221] Inclination
56- 60 F5.3 deg e_i [0.021] Uncertainty of i
62- 68 F7.3 deg omega [103.788] Argument of periastron
70- 74 F5.3 deg e_omega [0.035] Uncertainty of omega
76- 86 F11.5 d T0 [54957.3761] Epoch of the periastron passage,
BJD-2400000
88- 94 F7.5 d e_T0 [0.0006] Uncertainty T0
96-105 F10.8 --- S [0.00019908] Factor of amplitude scaling
107-116 F10.8 --- e_S [3.6e-07] Uncertainty of S
118-127 F10.8 --- C [0.00010794] Fractional flux offset
129-138 F10.8 --- e_C [3.3e-07] Uncertainty of C
140-150 F11.8 --- A [-0.0004336] Amplitude of sinusoidal signal
152-161 F10.8 --- e_A [5.4e-07] Uncertainty of A
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History:
From electronic version of the journal
(End) Prepared by [AAS], Emmanuelle Perret [CDS] 03-Aug-2023