Tobias C Hinse edited untitled.tex  over 8 years ago

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\section{New dataset: Linear ephemeris using MPFIT}  We have determined the following linear ephemeris using MPFIT. We followed the monte-carlo approach and determined a best-fit model by generating 10 million random initial guesses. We used best-fit parameters from LINFIT to obtain a first estimate of the initial epoch and period. Then initial guesses were drawn from a Gaussian distribution centered at the LINFIT values with standard deviation given by five times the formal LINFIT uncertainties. The linear ephemeris is shown in Fig.~\ref{Linearfit_NEW}. The resulting reduced $\chi^2$ value was 162.5 ($\chi^2 = 8448.6$ with (54-2) degrees of freedom) with the ephemeris (or computed timings) given as  \begin{equation}  T(E) = BJD~2,450,018.703604(3) BJD_{TDB}~2,450,018.703604(3)  + E \times 0.08786542817(9) \end{equation}  \noindent  The corresponding root-mean-square \href{https://en.wikipedia.org/wiki/Root_mean_square}{(RMS)} scatter of the data around the best-fit line is 28.9 seconds. The RMS scatter is ~5 times the average timing error and could be indicative of a systematic process of astrophysical origin.