184 lines
13 KiB
TeX
184 lines
13 KiB
TeX
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\chapter{Literature values for \Kepler systems \label{chap:appendixExtensiveTables}}
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\label{sec:appendix}
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%\section*{Authors' Note}
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%\lipsum[4]
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%\section{Literature values for \Kepler-systems}\label{sec:appendixA}
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\physit{[This appendix has been published as Appendix\,C of \cite{Beck2018}].}
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The parameters for eclipsing binaries are taken from the dynamical solution of G16. For the list of heartbeat stars (B14), radius and mass were inferred from seismic scaling relations and corrected for the systematic mass overestimate of 15\% reported by G16. Surface rotation periods were adopted from G14, B14 and B18. For four stars of B14, KIC\,7431665, KIC\,11044668, KIC\,8803882, and KIC\,7799540, no orbital parameters have yet been published.
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\section{Compilation of literature values}
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We refer to the cited literature for details on the applied methodology.
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\Table{tab:longTable} contains the following parameters,
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\begin{itemize}
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\item \textit{KIC} specifies the target identification number in the \Kepler Input Catalog.
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\item \textit{Type} indicates if a binary system is an eclipsing binary (EB), a heartbeat system (HB), or an eclipsing heartbeat system (eHB). 'NO' indicates that the star belongs to the four non-oscillating stars of G14/G16.
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\item P$_{\mathrm{orbit}}$ is the measured orbital period.
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\item $e$ is the orbital eccentricity.
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\item $\nu_{\mathrm{max}}$ is the peak frequency of the excess of oscillation power.
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\item $R$/$R_{\odot}$ is the stellar radius in solar units. Values from B14 are seismically inferred and corrected for the 5\% overestimate of seismic radius. Values from G16 originate from a dynamical solution.
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\item $M$/$M_{\odot}$ is the stellar mass in solar units. Values from B14 are seismically inferred and corrected for the 15\% overestimate of seismic mass. Values from G16 originate from a dynamical solution.
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\item {$q=M_2$/$M_1$} is the mass ratio between the two stellar components in the system. '?' indicates if $q$ has not been determined for a given system.
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\item $T_{\mathrm{eff}}$ is the effective temperature.
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\item \textit{P$_{\mathrm{rot}}$} specifies the time scale of the flux modulation, identified as the surface rotation period. The sources of the values are G14 and B18. We round all period values to the next full day.
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\item The dimensionless number \textit{\varR} is proportional to the inverse of the time scale of tidal circularisation (see Eq. XX). If no value of the mass ratio is specified, \varR is calculated for $q=0.5$.
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\item REF: the last column is specifying the literature references. If several papers are reporting on a given system, values of the most recent paper are cited. Previous references are given in brackets.
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\end{itemize}
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\begin{landscape}
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%\begin{able}
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\label{tab:longTable}
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\centering
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\tabcolsep=2pt
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\begin{longtable}{rrrrrrrrrrrl}
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\caption{Literature Parameters of red-giant binaries in the \Kepler sample. } \\
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\hline\hline
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\multicolumn{1}{c}{KIC} &
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\multicolumn{1}{c}{Type} &
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\multicolumn{1}{c}{P$_{\mathrm{orb}}$} &
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\multicolumn{1}{c}{$e$} &
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\multicolumn{1}{c}{$\nu_{\mathrm{max}}$} &
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\multicolumn{1}{c}{R/R$_\odot$} &
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\multicolumn{1}{c}{M/M$_\odot$} &
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\multicolumn{1}{c}{$q$} &
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\multicolumn{1}{c}{T} &
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\multicolumn{1}{c}{P$_{\mathrm{rot}}$} &
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\multicolumn{1}{c}{$\varepsilon_{\mathrm{R}}$} &
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REF \\
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& &
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\multicolumn{1}{c}{[days]} &
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\multicolumn{1}{c}{[]} &
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\multicolumn{1}{c}{[$\mu$Hz]} &
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\multicolumn{1}{c}{[]} &
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\multicolumn{1}{c}{[]} &
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\multicolumn{1}{c}{[]}&
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\multicolumn{1}{c}{[K]} &
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\multicolumn{1}{c}{[days]} &
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\multicolumn{1}{c}{[]} & \\
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\endfirsthead
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\caption{Literature Parameters of red-giant binaries in the \Kepler sample. (continued) }\\
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\hline\hline
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\multicolumn{1}{c}{KIC} &
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\multicolumn{1}{c}{Type} &
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\multicolumn{1}{c}{P$_{\mathrm{orb}}$} &
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\multicolumn{1}{c}{$e$} &
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\multicolumn{1}{c}{\numax} &
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\multicolumn{1}{c}{R/R$_\odot$} &
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\multicolumn{1}{c}{M/M$_\odot$} &
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\multicolumn{1}{c}{$q$} &
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\multicolumn{1}{c}{T} &
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\multicolumn{1}{c}{P$_{\mathrm{rot}}$} &
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\multicolumn{1}{c}{\varR} &
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REF \\
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& &
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\multicolumn{1}{c}{[days]} &
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\multicolumn{1}{c}{[]} &
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\multicolumn{1}{c}{[$\mu$Hz]} &
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\multicolumn{1}{c}{[]} &
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\multicolumn{1}{c}{[]} &
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\multicolumn{1}{c}{[]}&
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\multicolumn{1}{c}{[K]} &
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\multicolumn{1}{c}{[days]} &
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\multicolumn{1}{c}{[]} & \\
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\endhead
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\hline
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2444348 & HB & 103.50 $\pm$ 0.01 & 0.48 $\pm$ 0.01 & 30.5 $\pm$ 0.3 & 14.2 $\pm$ 0.3 & 1.6 $\pm$ 0.1 & ? & 4565 & - & -0.53 & B14 \\ % 14.9 1.94 -0.29264836 23617660210411000.0 0.5
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2697935 & eHB & 21.50 $\pm$ 0.02 & 0.41 $\pm$ 0.02 & $\sim$ 405.6 & $\sim$ 3.1 & $\sim$ 1.2 & ? & 4883 & - & -0.73 & B14 \\ % 3.26 1.45 -0.187737261 1193550610212.7 0.5
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2720096 & HB & 26.70 $\pm$ 0.01 & 0.49 $\pm$ 0.01 & 110.1 $\pm$ 0.7 & 6.6 $\pm$ 0.1 & 1.3 $\pm$ 0.1 & ? & 4812 & - & 0.83 & B14 \\ % 6.98 1.54 -6.735778437 169548153353192.0 0.5
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3955867 & EB,\,NO & 33.65685 $\pm$ 0.00007 & 0.019 $\pm$ 0.002 & $-$ & 7.9 $\pm$ 0.1 & 1.10 $\pm$ 0.06 & 0.84 $\pm$ 0.05 & 4884 & 33 & 1.14 & G16 (G14) \\ % 0.92 0.03 -13.83929209 530109950860996.0 0.836363636
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4569590 & EB,\,NO & 41.3710 $\pm$ 0.0001 & 0.004 $\pm$ 0.001 & $-$ & 14.1 $\pm$ 0.2 & 1.6 $\pm$ 0.10 & 0.66 $\pm$ 0.05 & 4706 & 41 & 1.67 & G16 (G14) \\ % 1.05 0.04 -47.17584985 23026610543707600.0 0.65625
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4663623 & EB & 358.09 $\pm$ 0.0003 & 0.43 $\pm$ 0.01 & 54.1 $\pm$ 0.2 & 9.7 $\pm$ 0.2 & 1.36 $\pm$ 0.09 & 0.99 $\pm$ 0.08 & 4812 & - & -4.08 & G16 (G14) \\ % 1.34 0.07 -8.34456E-05 2016961378909580.0 0.985294118
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5006817 & HB & 94.812 $\pm$ 0.002 & 0.71 $\pm$ 0.01 & 145.9 $\pm$ 0.5 & 5.5 $\pm$ 0.1 & 1.3 $\pm$ 0.1 & 0.199 $\pm$ 0.001 & 5000 & - & -2.80 & B14 \\ % 5.84 1.49 -0.001598043 53105792890595.8 0.199
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5039392 & HB & 236.70 $\pm$ 0.02 & 0.44 $\pm$ 0.01 & 6.2 $\pm$ 0.1 & 22.8 $\pm$ 0.7 & 0.8 $\pm$ 0.1 & ? & 4110 & - & -0.01 & B14 \\ % 24 0.98 -0.967120434 525980261009751000.0 0.5
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5179609 & EB & 43.93108 $\pm$ 0.000002 & 0.150 $\pm$ 0.001 & 322 $\pm$ 1.0 & 3.50 $\pm$ 0.03 & 1.18 $\pm$ 0.03 & 0.51 $\pm$ 0.02 & 5003 & 182 & -1.96 & G16 (G14) \\ % 0.60 0.01 -0.01088514 2646650293458.1 0.508474576
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5308778 & EB & 40.5661 $\pm$ 0.0003 & 0.006 $\pm$ 0.005 & 49 $\pm$ 1.1 & 10.1 $\pm$ 0.3 & 1.5 $\pm$ 0.1 & 0.43 $\pm$ 0.03 & 4900 & 39 & 0.80 & G16 (G14) \\ % 0.64 0.01 -6.305804877 2623890671999020.0 0.426666667
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5786154 & EB & 197.918 $\pm$ 0.0004 & 0.3764 $\pm$ 0.0009 & 29.8 $\pm$ 0.2 & 11.4 $\pm$ 0.2 & 1.06 $\pm$ 0.06 & 0.96 $\pm$ 0.07 & 4747 & - & -1.85 & G16 (G14) \\ % 1.02 0.04 -0.014007755 5771174080581860.0 0.962264151
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7037405 & EB & 207.1083 $\pm$ 0.0007 & 0.238 $\pm$ 0.004 & 21.8 $\pm$ 0.1 & 14.1 $\pm$ 0.2 & 1.25 $\pm$ 0.04 & 0.91 $\pm$ 0.03 & 4516 & - & -1.62 & G16 (G14) \\ % 1.14 0.02 -0.023721231 23026610543707600.0 0.912
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7377422 & EB & 107.6213 $\pm$ 0.0004 & 0.4377 $\pm$ 0.0005 & 40 $\pm$ 2.1 & 9.5 $\pm$ 0.2 & 1.05 $\pm$ 0.08 & 0.81 $\pm$ 0.07 & 4938 & 55 & -0.96 & G16 (G14) \\ % 0.85 0.03 -0.109828309 1761141547380960.0 0.80952381
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% 7431665 & HB & 281.4 $\pm$ ? & - $\pm$ - & 54.0 $\pm$ 0.7 & 8.9 $\pm$ 0.1 & 1.2 $\pm$ 0.1 & ? & 4580 & - & -3.59 & B14 \\ % 9.4 1.36 -0.000258751 1177217175096960.0 0.5
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% 7799540 & HB & 71.8 $\pm$ ? & - $\pm$ - & 347.2 $\pm$ 5 & $\sim$ 3.5 & $\sim$ 1.3 & ? & 5177 & - & -3.28 & B14 \\ % 3.64 1.52 -0.000521441 2446607317192.6 0.5
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7943602 & EB,\,NO & 14.69199 $\pm$ 0.00004 & 0.001 $\pm$ 0.003 & $-$ & 6.6 $\pm$ 0.2 & 1.0 $\pm$ 0.10 & 0.78 $\pm$ 0.09 & 5096 & 15 & 2.70 & G16 (G14) \\ % 0.78 0.05 -497.4981512 164454064905904.0 0.78
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8054233 & EB & 1058.16 $\pm$ 0.02 & 0.2718 $\pm$ 0.0004 & 46.5 $\pm$ 0.3 & 10.7 $\pm$ 0.1 & 1.60 $\pm$ 0.06 & 0.69 $\pm$ 0.04 & 4971 & - & -6.61 & G16 (G14) \\ % 1.10 0.04 -2.46436E-07 3820339730270180.0 0.6875
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8095275 & HB & 23.00 $\pm$ 0.01 & 0.32 $\pm$ 0.01 & 69.3 $\pm$ 0.3 & 7.4 $\pm$ 0.1 & 1.0 $\pm$ 0.1 & ? & 4622 & - & 1.86 & B14 \\ % 7.78 1.21 -73.23309501 343614465988859.0 0.5
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8144355 & HB & 80.55 $\pm$ 0.01 & 0.76 $\pm$ 0.01 & 179.0 $\pm$ 2 & 4.7 $\pm$ 0.1 & 1.1 $\pm$ 0.1 & ? & 4875 & - & -2.41 & B14 \\ % 4.9 1.26 -0.003890391 16942236650096.4 0.5
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8210370 & HB & 153.50 $\pm$ 0.01 & 0.70 $\pm$ 0.01 & 44.1 $\pm$ 0.8 & 10.0 $\pm$ 0.2 & 1.2 $\pm$ 0.1 & ? & 4585 & - & -1.92 & B14 \\ % 10.5 1.4 -0.012117691 2419561133683660.0 0.5
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8410637 & EB & 408.3 $\pm$ 0.5 & 0.689 $\pm$ 0.001 & 46.0 $\pm$ 0.2 & 10.7 $\pm$ 0.1 & 1.56 $\pm$ 0.3 & 0.85 $\pm$ 0.16 & 4800 & - & -4.34 & F13 \\ % 1.32 0.02 -4.60123E-05 3820339730270180.0 0.846153846
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8430105 & EB & 63.32713 $\pm$ 0.00003 & 0.2564 $\pm$ 0.0002 & 76.7 $\pm$ 0.6 & 7.65 $\pm$ 0.05 & 1.31 $\pm$ 0.02 & 0.63 $\pm$ 0.01 & 5042 & 122 & -0.73 & G16 (G14) \\ % 0.83 0.01 -0.187065661 429981267052472.0 0.633587786
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\hline
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8702921 & EB & 19.38446 $\pm$ 0.00002 & 0.0964 $\pm$ 0.0008 & 195.6 $\pm$ 0.5 & 5.32 $\pm$ 0.05 & 1.67 $\pm$ 0.05 & 0.16 $\pm$ 0.01 & 5058 & 98 & 0.26 & G16 (G14) \\ % 0.274 0.009 -1.815382661 40410880990330.7 0.164071856
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% 8803882 & HB & 89.7 $\pm$ ? & - $\pm$ - & 347.0 $\pm$ 3 & 3.5 $\pm$ 0.1 & 1.2 $\pm$ 0.1 & ? & 5043 & - & -3.64 & B14 \\ % 3.68 1.4 -0.00023094 2627021107627.9 0.5
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8912308 & HB & 20.17 $\pm$ 0.01 & 0.23 $\pm$ 0.01 & $\sim$ 350.0 0 & $\sim$ 4.0 & $\sim$ 1.7 & ? & 4872 & - & -0.39 & B14 \\ % 4.2 2.02 -0.407215935 6210794263470.3 0.5
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9151763 & HB & 437.51 $\pm$ 0.03 & 0.73 $\pm$ 0.01 & 13.8 $\pm$ 0.2 & 16.7 $\pm$ 0.4 & 1.0 $\pm$ 0.1 & ? & 4290 & - & -2.62 & B14 \\ % 17.6 1.19 -0.002379785 69836381728503000.0 0.5
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9163796 & HB & 121.30 $\pm$ 0.01 & 0.69 $\pm$ 0.002 & 165.3 $\pm$ 1.3 & 5.1 $\pm$ 0.1 & 1.2 $\pm$ 0.1 & 0.985 $\pm$ 0.005 & 4960 & 130 & -3.17 & B18 (B14) \\ % 5.35 1.39 -0.00066911 30017697979301.3 0.985221675
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9246715 & EB & 171.27688 $\pm$ 0.00001 & 0.3559 $\pm$ 0.0003 & 106.4 $\pm$ 0.8 & 8.30 $\pm$ 0.04 & 2.149 $\pm$ 0.007 & 0.990 $\pm$ 0.005 & 5030 & 93 & -3.54 & R16 (G14) \\ % 2.171 0.007 -0.000289876 731159241518636.0 1.01023732
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9291629 & EB,\,NO & 20.68643 $\pm$ 0.00004 & 0.007 $\pm$ 0.002 & $-$ & 7.99 $\pm$ 0.05 & 1.14 $\pm$ 0.03 & 0.96 $\pm$ 0.03 & 4713 & 21 & 2.26 & G16 (G14) \\ % 1.1 0.02 -180.6275087 570680621599525.0 0.964912281
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9408183 & HB & 49.70 $\pm$ 0.01 & 0.42 $\pm$ 0.01 & 164.8 $\pm$ 0.2 & 4.8 $\pm$ 0.1 & 1.0 $\pm$ 0.1 & ? & 4900 & - & -1.18 & B14 \\ % 5.02 1.23 -0.065346161 19832408593602.6 0.5
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9540226 & eHB & 175.4439 $\pm$ 0.0006 & 0.3880 $\pm$ 0.0002 & 27.1 $\pm$ 0.2 & 12.8 $\pm$ 0.1 & 1.33 $\pm$ 0.05 & 0.74 $\pm$ 0.04 & 4692 & - & -1.64 & G16\,(B14,\,G14) \\ % 0.98 0.03 -0.023126672 12267342609935500.0 0.736842105
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9970396 & EB & 235.2985 $\pm$ 0.0002 & 0.194 $\pm$ 0.007 & 63.7 $\pm$ 0.2 & 8.0 $\pm$ 0.2 & 1.14 $\pm$ 0.03 & 0.89 $\pm$ 0.03 & 4916 & - & -3.38 & G16 (G14) \\ % 1.02 0.02 -0.000418992 575346410047194.0 0.894736842
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10001167 & EB & 120.3903 $\pm$ 0.0005 & 0.159 $\pm$ 0.003 & 19.9 $\pm$ 0.1 & 12.7 $\pm$ 0.3 & 0.81 $\pm$ 0.05 & 0.98 $\pm$ 0.07 & 4700 & - & 0.03 & G16 (G14) \\ % 0.79 0.03 -1.077727137 11656705266394900.0 0.975308642
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10614012 & eHB & 132.13 $\pm$ 0.01 & 0.71 $\pm$ 0.01 & 70.2 $\pm$ 0.9 & 8.2 $\pm$ 0.2 & 1.3 $\pm$ 0.1 & ? & 4715 & - & -2.23 & B14 \\ % 8.6 1.49 -0.005849059 659749667940527.0 0.5
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% 11044668 & HB & 139.5 $\pm$ ? & - $\pm$ - & 50.2 $\pm$ 0.2 & 7.8 $\pm$ 0.1 & 0.8 $\pm$ 0.1 & ? & 4565 & - & -1.85 & B14 \\ % 8.18 0.99 -0.014152208 476231666115527.0 0.5
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\hline
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\end{longtable}
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%\end{table}%
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\end{landscape}
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\section{Tidal properties of selected systems}
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Table\,\ref{tab:10th} lists the following parameters for the systems' red-giant primary with known $P_{\mathrm{rot}}$,
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\begin{itemize}
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\item $\delta_{\mathrm{10}}$ is the 10$^{\mathrm{th}}$ percentile of the logarithm of the ratio between the dissipation of the equilibrium and the dynamical tide, $\delta$\,=\,$\log (\mathcal{D}_{\mathrm{eq}}$\,/\,$<$$\mathcal{D}$$>$$_\omega)$.
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\item $\tau_{\mathrm{conv,10}}$ is the corresponding convective turnover timescale computed in the middle of the convective zone.
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\item $P_{\mathrm{tide}}$ > $\tau_{\mathrm{conv,10}}$ indicates if the tidal period is longer than the convective turnover timescale (Yes / No).
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\end{itemize}
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\vspace {5mm}
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\begin{table}[h!]
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\caption{Evolution of $\delta_{\mathrm{10}}$ for the systems with know rotation period.}
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\label{tab:10th}
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%\centering
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\tabcolsep=10pt
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\hfill\begin{tabular}{rrccc}
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\hline\hline
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\multicolumn{1}{c}{KIC} &
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\multicolumn{1}{c}{$P_{\mathrm{tide}}$} & $\tau_{\mathrm{conv,10}}$ & $P_{\mathrm{tide}}$ > $\tau_{\mathrm{conv,10}}$ & $\delta_{\mathrm{10}}$\\
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& \multicolumn{1}{c}{[days]} & [days] & & \\
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\hline
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7943602 & 357 & 20 & Y & 2.3-3.4 \\
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7377422 & 56 & 20 & Y & 3.7-4.8\\
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3955867 & 845 & 20-23 & Y & 2.6-3.7\\
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9291629 & 692 & 20-23 & Y & 2.3-3.4 \\
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5179609 & 28 & 23 & Y & 4.7-5.8 \\
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9163796 & 906 & 23 & Y & 3.8-4.9 \\
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8430105 & 65 & 23-26 & Y & 4.4-5.5 \\
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5308778 & 505 & 12 & Y & 3.0-4.1\\
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4569590 & 2285 & 12 & Y & 2.4-3.5\\
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8702921 & 12 & 12 & N & 4.2-5.3\\
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9246715 & 101 & 14 & Y & 4.1-5.2 \\
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\hline
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\end{tabular}\hfill~
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\end{table}
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