Tobias C Hinse edited untitled.tex  over 8 years ago

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In this research we make use of all timing measurements that have been obtained with reasonable accuracy. We have therefore recompiled all available timing measurements from the literature. We list them in Table \ref{NewTimingData}. The original HJD(UTC) time stamps from the literature were converted to the BJD(TDB) system using the on-line time utilities\footnote{http://astroutils.astronomy.ohio-state.edu/time/} \citep{Eastman_2010}. All new measurements obtained by \cite{Potter_2011} were taken directly from their Table 1. Some remarks are at place. In Table \ref{NewTimingData} we list the original uncertainty as $\sigma_{lit}$. We also list the uncertainty obtained from the scatter of the data around a best-fit linear regression line. We have calculated three scatter metrics: a) the root-mean-square, b) the standard deviation and c) the standard deviation as given by \cite{Bevington2003Book} and defined as  \begin{equation}  \sigma^2 = \frac{1}{N-2} \sum_{i=1}^{N}(y_{i} - a - bx_{i})^2  \label{BevEq6p15}  \end{equation}  \noindent  where $N$ is the number of data points, $a,b$ the two parameters for a linear line and $(x_{i}, y_{i})$ is a given timing measurement. 

\begin{table}   \begin{tabular}{ c c c c c c }  \hline  BJD(TDB) &$\sigma_{lit}$ & RMS & STD & Eq. (XXX) Eq.~\ref{BevEq6p15}  & Remarks \\ \hline   2455506.427034 & 0.0000100 & 0.0000100 & 0.0000100 & 0.0000100 & HIPPO/1.9m, \cite{Potter_2011}, no RMS,STD,Eq.(6.15) determination \\   2455478.485831 & 0.0000100 & 0.0000100 & 0.0000100 & 0.0000100 & HIPPO/1.9m, \cite{Potter_2011}, no RMS,STD,Eq.(6.15) determination \\