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The eclipsing binary systems with $\delta$ Scuti component -- II. AB Cas
Solar and Stellar Astrophysics · Submitted 26 Apr 2022
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Our results show the AB Cas system as a product of the rapid non-conservative mass transfer with about 5-26 % of transferred mass lost from the system.
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The abstract, sentence by sentence
We present a complex study of the eclipsing binary system, AB Cas. The analysis of the whole TESS light curve, corrected for the binary effects, reveals 112 significant frequency peaks with 17 independent signals. The dominant frequency $f_1 = $17.1564 d$^{-1}$ is a radial fundamental mode. The $O-C$ analysis of the times of light minima from over 92 years leads to a conclusion that due to the ongoing mass transfer the system exhibits a change of the orbital period at a rate of 0.03 s per year. In order to find evolutionary models describing the current stage of AB Cas, we perform binary evolution computations. Our results show the AB Cas system as a product of the rapid non-conservative mass transfer with about 5-26 % of transferred mass lost from the system. This process heavily affected the orbital characteristics of this binary and its components in the past. In fact, this system closely resembles the formation scenarios of EL CVn type binaries. For the first time, we demonstrate the effect of binary evolution on radial pulsations and determine the lines of constant frequency on the HR diagram. From the binary and seismic modelling, we obtain constraints on various parameters. In particular, we constrain the overshooting parameter, $f_{\rm ov}\in [0.010,~0.018]$, the mixing-length parameter, $\alpha_{\rm MLT}\in[1.2,~1.5]$ and the age, $t \in [2.3,~3.4]$ Gyr.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We present a complex study of the eclipsing binary system, AB Cas. | contribution 1.00 | 0.93 | 0.03 | asserted 0.89 |
| s1 | The analysis of the whole TESS light curve, corrected for the binary effects, reveals 112 significant frequency peaks with 17 independent signals. | result 0.95 | 0.94 | 0.08 | asserted 1.00 |
| s2 | The dominant frequency $f_1 = $17.1564 d$^{-1}$ is a radial fundamental mode. | result 0.98 | 0.89 | 0.06 | asserted 1.00 |
| s3 | The $O-C$ analysis of the times of light minima from over 92 years leads to a conclusion that due to the ongoing mass transfer the system exhibits a change of the orbital period at a rate of 0.03 s per year. | result 0.99 | 0.93 | 0.17 | asserted 0.99 |
| s4 | In order to find evolutionary models describing the current stage of AB Cas, we perform binary evolution computations. | method 0.95 | 0.94 | 0.03 | asserted 0.79 |
| s5 | Our results show the AB Cas system as a product of the rapid non-conservative mass transfer with about 5-26 % of transferred mass lost from the system. | result 0.97 | 0.95 | 0.34 | asserted 1.00 |
| s6 | This process heavily affected the orbital characteristics of this binary and its components in the past. | interpretation 0.93 | 0.57 | 0.08 | asserted 1.00 |
| s7 | In fact, this system closely resembles the formation scenarios of EL CVn type binaries. | interpretation 0.97 | 0.65 | 0.12 | asserted 0.93 |
| s8 | For the first time, we demonstrate the effect of binary evolution on radial pulsations and determine the lines of constant frequency on the HR diagram. | contribution 0.94 | 0.96 | 0.19 | asserted 1.00 |
| s9 | From the binary and seismic modelling, we obtain constraints on various parameters. | result 0.80 | 0.93 | 0.07 | asserted 0.99 |
| s10 | In particular, we constrain the overshooting parameter, $f_{\rm ov}\in [0.010,~0.018]$, the mixing-length parameter, $\alpha_{\rm MLT}\in[1.2,~1.5]$ and the age, $t \in [2.3,~3.4]$ Gyr. | result 1.00 | 0.96 | 0.13 | asserted 1.00 |
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Original abstract
We present a complex study of the eclipsing binary system, AB Cas. The analysis of the whole TESS light curve, corrected for the binary effects, reveals 112 significant frequency peaks with 17 independent signals. The dominant frequency $f_1 = $17.1564 d$^{-1}$ is a radial fundamental mode. The $O-C$ analysis of the times of light minima from over 92 years leads to a conclusion that due to the ongoing mass transfer the system exhibits a change of the orbital period at a rate of 0.03 s per year. In order to find evolutionary models describing the current stage of AB Cas, we perform binary evolution computations. Our results show the AB Cas system as a product of the rapid non-conservative mass transfer with about 5-26 % of transferred mass lost from the system. This process heavily affected the orbital characteristics of this binary and its components in the past. In fact, this system closely resembles the formation scenarios of EL CVn type binaries. For the first time, we demonstrate the effect of binary evolution on radial pulsations and determine the lines of constant frequency on the HR diagram. From the binary and seismic modelling, we obtain constraints on various parameters. In particular, we constrain the overshooting parameter, $f_{\rm ov}\in [0.010,~0.018]$, the mixing-length parameter, $\alpha_{\rm MLT}\in[1.2,~1.5]$ and the age, $t \in [2.3,~3.4]$ Gyr.
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Fluxes and the interpolated limb-darkening coefficients were obtained from ATLAS 9 model atmospheres [ref] with solar metallicity for the primary.
New Grids of ATLAS9 Model Atmospheres · The simultaneous fit · 0.89
Cites as background 1 paper
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From a vast number of known eclipsing binary systems [ref] there are only a few well-studied close binaries that contain components, e.g., TT Hor [ref] and KIC 10661783 [ref] .
TESS Eclipsing Binary Stars. I. Short cadence observations of 4584 eclipsing binaries in Sectors 1-26 · Binary-evolution models · 0.94
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