
\chapter{Literature values for \Kepler systems \label{chap:appendixExtensiveTables}}
\label{sec:appendix}

%\section*{Authors' Note}
%\lipsum[4]

%\section{Literature values for \Kepler-systems}\label{sec:appendixA}
\physit{[This appendix has been published as Appendix\,C of \cite{Beck2018}].}

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.



\section{Compilation of literature values}

We refer to the cited literature for details on the applied methodology.
\Table{tab:longTable} contains the following parameters,
\begin{itemize}
\item \textit{KIC} specifies the target identification number in the \Kepler Input Catalog.
\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.
\item  P$_{\mathrm{orbit}}$ is the measured orbital period.	
\item  $e$ is the orbital eccentricity.
\item  $\nu_{\mathrm{max}}$ is the peak frequency of the excess of oscillation power.
\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.
\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.		
\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. 
\item  $T_{\mathrm{eff}}$ is the effective temperature. 
\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.
\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 $q=0.5$.
\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.
\end{itemize}


\begin{landscape}
%\begin{able}
\label{tab:longTable}
\centering
\tabcolsep=2pt
\begin{longtable}{rrrrrrrrrrrl}
\caption{Literature Parameters of red-giant binaries in the \Kepler sample. } \\


\hline\hline								
\multicolumn{1}{c}{KIC}	&	
\multicolumn{1}{c}{Type}	&	
\multicolumn{1}{c}{P$_{\mathrm{orb}}$}	&	
\multicolumn{1}{c}{$e$}	&	
\multicolumn{1}{c}{$\nu_{\mathrm{max}}$}		&	
\multicolumn{1}{c}{R/R$_\odot$}	&	
\multicolumn{1}{c}{M/M$_\odot$}	&	
\multicolumn{1}{c}{$q$}	&	
\multicolumn{1}{c}{T}	&	
\multicolumn{1}{c}{P$_{\mathrm{rot}}$}	&	
\multicolumn{1}{c}{$\varepsilon_{\mathrm{R}}$}	&	
REF	\\
	&		&	
\multicolumn{1}{c}{[days]}	&	
\multicolumn{1}{c}{[]}	&
\multicolumn{1}{c}{[$\mu$Hz]}	&	
\multicolumn{1}{c}{[]}	&	
\multicolumn{1}{c}{[]}	&	
\multicolumn{1}{c}{[]}&	
\multicolumn{1}{c}{[K]}	&	
\multicolumn{1}{c}{[days]}	&
\multicolumn{1}{c}{[]}	&		\\
\endfirsthead

\caption{Literature Parameters of red-giant binaries in the \Kepler sample. (continued) }\\

\hline\hline
\multicolumn{1}{c}{KIC}	&	
\multicolumn{1}{c}{Type}	&	
\multicolumn{1}{c}{P$_{\mathrm{orb}}$}	&	
\multicolumn{1}{c}{$e$}	&	
\multicolumn{1}{c}{\numax}		&	
\multicolumn{1}{c}{R/R$_\odot$}	&	
\multicolumn{1}{c}{M/M$_\odot$}	&	
\multicolumn{1}{c}{$q$}	&	
\multicolumn{1}{c}{T}	&	
\multicolumn{1}{c}{P$_{\mathrm{rot}}$}	&	
\multicolumn{1}{c}{\varR}	&	
REF	\\
	&		&	
\multicolumn{1}{c}{[days]}	&	
\multicolumn{1}{c}{[]}	&
\multicolumn{1}{c}{[$\mu$Hz]}	&	
\multicolumn{1}{c}{[]}	&	
\multicolumn{1}{c}{[]}	&	
\multicolumn{1}{c}{[]}&	
\multicolumn{1}{c}{[K]}	&	
\multicolumn{1}{c}{[days]}	&
\multicolumn{1}{c}{[]}	&		\\

\endhead

\hline
	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										
	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										
	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										
	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										
	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										
	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										
	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										
	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										
	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										
	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										
	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										
	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										
	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										
%	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										
%	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										
	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										
	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										
	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										
	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										
	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										
	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			
	
	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										
	\hline
	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										
%	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										
	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										
	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										
	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										
	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										
	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										
	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										
	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										
	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										
	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										
	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										
%	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																														
						
						\hline
\end{longtable}
%\end{table}%
\end{landscape}




\section{Tidal properties of selected systems}

Table\,\ref{tab:10th} lists the following parameters for the systems' red-giant primary with known $P_{\mathrm{rot}}$,
\begin{itemize}
\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)$.
\item $\tau_{\mathrm{conv,10}}$ is the corresponding convective turnover timescale computed in the middle of the convective zone.
\item $P_{\mathrm{tide}}$ > $\tau_{\mathrm{conv,10}}$ indicates if the tidal period is longer than the convective turnover timescale  (Yes / No).

\end{itemize}
\vspace {5mm}

\begin{table}[h!]
\caption{Evolution of $\delta_{\mathrm{10}}$ for the systems with know rotation period.}
\label{tab:10th}
%\centering
\tabcolsep=10pt

\hfill\begin{tabular}{rrccc}
\hline\hline
\multicolumn{1}{c}{KIC} & 
\multicolumn{1}{c}{$P_{\mathrm{tide}}$} & $\tau_{\mathrm{conv,10}}$ & $P_{\mathrm{tide}}$ > $\tau_{\mathrm{conv,10}}$ & $\delta_{\mathrm{10}}$\\
 & \multicolumn{1}{c}{[days]} & [days] & & \\
\hline
7943602 & 357 & 20 & Y & 2.3-3.4  \\
7377422 & 56 & 20 & Y & 3.7-4.8\\
3955867 & 845 & 20-23 & Y & 2.6-3.7\\
9291629 & 692 & 20-23 & Y & 2.3-3.4 \\
5179609 & 28 & 23 & Y & 4.7-5.8 \\
9163796 & 906 & 23 & Y & 3.8-4.9 \\
8430105 & 65 & 23-26 & Y & 4.4-5.5 \\
5308778 & 505 & 12 & Y & 3.0-4.1\\
4569590 & 2285 & 12 & Y & 2.4-3.5\\
8702921 & 12 & 12 & N & 4.2-5.3\\
9246715 & 101 & 14 & Y & 4.1-5.2 \\
\hline
\end{tabular}\hfill~
\end{table}



