Tobias C Hinse edited untitled.tex  over 8 years ago

Commit id: 6fbdebe0a7ce27cc0252d9de40e182ebe67c88a5

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To start we have removed a total of eight points: three points from \cite{Ferrario_1989}, four points from \cite{Berriman_1988} and a single point from \cite{Allen_1989}. The average deviation of those points from our best-fit model (Fig.~\ref{BestFitModel_LinPlus1LTT_New_AllData}   and Table \ref{BestFitParamsLinPlus1LTT_New_AllData}) was around 35 seconds. The minimum timing uncertainty is 0.33 seconds. The maximum timing uncertainty is 13.8 seconds. The mean of the timing uncertainty is 3.7 seconds. This data set is very similar to the data set investigated by Potter et al. (2011). Our new model now had a $\chi^2 = 467.1$ and a reduced $\chi^2=12$ with 39 DoF resulting in a RMS scatter of 13 seconds. We show the resulting best-fit parameters in Fig.~\ref{BestFitModel_LinPlus1LTT_RedDataSet1} and Table \ref{BestFitParamsLinPlus1LTT_RedDataSet1}. As a result we first note that the removal of eight data points did not change significantly the model. This points towards that those discarded points do not contribute significantly to constrain the model during the fitting process. Further we note that our model is significantly different from the first elliptical term model presented in Potter et al. (2011). The most striking difference is dominantly seen in the eccentricity parameter. While they found a near-circular model we find a highly eccentric solution. Next we continue our analysis by removing an additional six data points.  \section{New dataset with scaled errors (with removed data II): Linear ephemeris + 1-LTT model using MPFIT}  \begin{table}   \begin{tabular}{ c c }  $T_0$ (BJD) & $2,450,021.69149 \pm 4 \times 10^{-5}$ \\  

\label{BestFitParamsLinPlus1LTT_RedDataSet1}  \end{table}  \section{New dataset with scaled errors (with removed data II): Linear ephemeris + 1-LTT model using MPFIT}  In this section we investigate the effects by removing a total of 14 data points. Six from \cite{Beuermann1988}, three from \cite{Ferrario_1989}, four points from \cite{Berriman_1988} and a single point from \cite{Allen_1989}. The resulting best-fit model is shown in Fig.~\ref{BestFitModel_LinPlus1LTT_RedDataSet2} with best-fit parameters listed in Table \ref{BestFitParamsLinPlus1LTT_RedDataSet2}.  \begin{table}   \begin{tabular}{ c c }  $T_0$ (BJD) & $2,450,021.69150 \pm 3 \times 10^{-5}$ \\   $P_0$ (days) & $ 0.0878654279 \pm 1 \times 10^{-10}$ \\   $a\sin I$ (AU) & $0.00049 \pm 3 \times 10^{-5}$ \\   $e$ & $0.79 \pm 0.03$ \\   $\omega$ (radians) & $0.79 \pm 0.03$ \\   $T_p$ (BJD) & $2455832.0 \pm 28$ \\   $P$ (days) & $6012 \pm 23$ \\   RMS (seconds) & 13.0 \\   $\chi^2$ & 467.1 \\  red. $\chi^2$ & 12.0 \\  \end{tabular}   \caption{Best-fit parameters for a linear + 1-LTT model. A total of 14 data points from \cite{Beuermann1988}, \cite{Ferrario_1989}, \cite{Berriman_1988} and \cite{Allen_1989} were removed.}  \label{BestFitParamsLinPlus1LTT_RedDataSet2}  \end{table}