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<H1><A NAME="SECTION003780000000000000000">
Wavelength calibration</A>
</H1>

<P>
The wavelength calibration uses the ThArNe calibration frames. The
orders are first extracted and then searched for emission lines.  This
is done with the command SEARCH/FEROS.  Wavelengths are
assigned to these lines iteratively using a catalog of wavelengths and
starting with a preliminary dispersion relation. A global dispersion
relation for the whole wavelength rane is used for fitting the line
positions as a function of y-position and order number. The global
formula used is of the form

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<!-- MATH: \begin{equation}
\lambda  m =  \sum{\sum{a_{ij} x^i m^j}}
\end{equation} -->

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<TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><IMG
 WIDTH="196" HEIGHT="45"
 SRC="img1417.gif"
 ALT="\begin{displaymath}\lambda m = \sum{\sum{a_{ij} x^i m^j}}
\end{displaymath}"></TD>
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(29.1)</TD></TR>
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<BR CLEAR="ALL"><P></P>
<P>
where <I>x</I> and <I>m</I> are the position along the dispersion axis and the
order number, respectively, and <I>a</I><SUB><I>ij</I></SUB> are the coefficients to be
fitted. For the order of the polynomial <IMG
 WIDTH="74" HEIGHT="40" ALIGN="MIDDLE" BORDER="0"
 SRC="img1418.gif"
 ALT="$i,j \le 4$">
is sufficient for
FEROS. Most of the higher terms are set to zero, so that only 15 free
parameters are used. With this formula we can reach residuals of the
order of 3m&#197; rms over the full wavelength range. The wavelength
calibration is done with the command CALIB/FEROS.

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<ADDRESS>
<I>Petra Nass</I>
<BR><I>1999-06-15</I>
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