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Tobias C Hinse edited untitled.tex
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\subsection{Quadratic ephemeris using CURVEFIT}
The results from CURVEFIT are surprising. The best-fit $\chi^2$ value was 3718.89 yielding a reduced $\chi^2$ of 95.36 with (42-3 DoF). The RMS scatter of the residuals around the quadratic model fit was 31 seconds. This means that the fit became worse compared to a linear ephemeris model. The resulting residual plot is shown in Fig.~\ref{quadfit_res}. The corresponding best-fit parameters for a quadratic ephemeris is
\begin{eqnarray}
T(E)&=&T T(E) &=& T + P \times E + A \times E^2 \\
&=&
emc^2
\end{eqnarray}