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%
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%
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%
\providecommand{\jp}[1]{{\color{red} #1}}%
\providecommand{\sba}[1]{{\color{blue} #1}} 

%
\providecommand{\tint}[1][]{\ensuremath{\Delta t_\ensuremath{\mathrm{#1}}}}%
\providecommand{\ton}{\ensuremath{\Delta t_\ensuremath{\mathrm{on}}}}%
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\providecommand{\tintmin}{\ensuremath{\ensuremath{\Delta t_\ensuremath{\mathrm{min}}}}}%
\providecommand{\tslew}{\ensuremath{\ensuremath{\Delta t_\ensuremath{\mathrm{slew}}}}} 

%
\providecommand{\temp}{\ensuremath{T}}%
\providecommand{\flux}{\ensuremath{F}}%
\providecommand{\noise}[1][]{\ensuremath{\sigma_\ensuremath{\mathrm{#1}}}}%
\providecommand{\dnu}{\ensuremath{d\nu}}%
\providecommand{\Tsys}{\ensuremath{T_\ensuremath{\mathrm{sys}}}} 

%
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\providecommand{\overhead}{\ensuremath{\Omega}}%
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%
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\providecommand{\beam}[1][]{\ensuremath{\theta_\ensuremath{\mathrm{#1}}}}%
\providecommand{\Jant}[1][]{\ensuremath{J_\ensuremath{\mathrm{ant}}^\ensuremath{\mathrm{#1}}}}%
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%
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\providecommand{\npol}{\ensuremath{n_\ensuremath{\mathrm{pol}}}} 

%
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\providecommand{\Tcab}{\ensuremath{T_\ensuremath{\mathrm{cab}}}}%
\providecommand{\Trec}{\ensuremath{T_\ensuremath{\mathrm{rec}}}}%
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\providecommand{\gim}{\ensuremath{G_\ensuremath{\mathrm{im}}}}%
\providecommand{\Feff}{\ensuremath{F_\ensuremath{\mathrm{eff}}}}%
\providecommand{\Aeff}{\ensuremath{A_\ensuremath{\mathrm{eff}}}}%
\providecommand{\Airmass}{\ensuremath{A}} 

%
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%
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\providecommand{\ngaincal}{\ensuremath{n_\ensuremath{\mathrm{gaincal}}}}%
\providecommand{\ngaincaldef}{\ensuremath{n_\ensuremath{\mathrm{gaincal}}^\ensuremath{\mathrm{def}}}} 


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\lhead{\scshape NOEMA sensitivity estimator}
\rhead{\scshape \nouppercase{\rightmark}}   %
\fancyfoot[C]{\bfseries\thepage {}}


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\lthtmldisplayA{displaymath302}%
\begin{displaymath}
  \ensuremath{\sigma_\ensuremath{\mathrm{K}}}
  = \frac{\Omega_\ensuremath{\mathrm{prim}}}{\Omega_\ensuremath{\mathrm{syn}}}\,\frac{1}{\ensuremath{\eta_\ensuremath{\mathrm{atm}}}}\,\frac{\ensuremath{T_\ensuremath{\mathrm{sys}}}}{\ensuremath{\eta_\ensuremath{\mathrm{spec}}}\, \sqrt{\ensuremath{n_\ensuremath{\mathrm{ant}}}\,(\ensuremath{n_\ensuremath{\mathrm{ant}}}-1)\,\ensuremath{d\nu}\,\ensuremath{\Delta t_\ensuremath{\mathrm{}}}}},
  = \frac{\ensuremath{\theta_\ensuremath{\mathrm{prim}}}^2}{\ensuremath{\theta_\ensuremath{\mathrm{maj}}}\,\ensuremath{\theta_\ensuremath{\mathrm{min}}}}\,\frac{1}{\ensuremath{\eta_\ensuremath{\mathrm{atm}}}}\,\frac{\ensuremath{T_\ensuremath{\mathrm{sys}}}}{\ensuremath{\eta_\ensuremath{\mathrm{spec}}}\, \sqrt{\ensuremath{n_\ensuremath{\mathrm{ant}}}\,(\ensuremath{n_\ensuremath{\mathrm{ant}}}-1)\,\ensuremath{d\nu}\,\ensuremath{\Delta t_\ensuremath{\mathrm{}}}}},
  
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2775}%
\ensuremath{\theta_\ensuremath{\mathrm{prim}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2777}%
\ensuremath{\theta_\ensuremath{\mathrm{maj}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2779}%
\ensuremath{\theta_\ensuremath{\mathrm{min}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

\stepcounter{subsection}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3239}%
$4 (=2^2)$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3241}%
$16 (=2^4)$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

\stepcounter{section}
\stepcounter{subsection}
{\newpage\clearpage
\lthtmlpictureA{tex2html_wrap4167}%
\includegraphics[width=\linewidth]{astro-noema-sensitivity-estimator-tsys-table}%
\lthtmlpictureZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlpictureA{tex2html_wrap4173}%
\includegraphics[width=\linewidth]{astro-noema-sensitivity-estimator-tsys-minmax}%
\lthtmlpictureZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlpictureA{tex2html_wrap4179}%
\includegraphics[width=\linewidth]{astro-noema-sensitivity-estimator-tsys-cont}%
\lthtmlpictureZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3251}%
$\backslash$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3257}%
$1/<\ensuremath{T_\ensuremath{\mathrm{sys}}}>^2 = 1/N \sum 1/\ensuremath{T_\ensuremath{\mathrm{sys}}}^2$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3259}%
$2 \times 8\,$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

\stepcounter{subsection}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2799}%
\ensuremath{n_\ensuremath{\mathrm{pol}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath347}%
\begin{displaymath}
  \ensuremath{\sigma_\ensuremath{\mathrm{Jy}}} = \frac{\ensuremath{J_\ensuremath{\mathrm{ant}}^\ensuremath{\mathrm{int}}}\,\ensuremath{T_\ensuremath{\mathrm{sys}}}}{\ensuremath{\eta_\ensuremath{\mathrm{spec}}}\,\sqrt{\ensuremath{n_\ensuremath{\mathrm{ant}}}\,(\ensuremath{n_\ensuremath{\mathrm{ant}}}-1)\,\ensuremath{d\nu}\,\ensuremath{n_\ensuremath{\mathrm{pol}}}\,\ensuremath{\Delta t_\ensuremath{\mathrm{on}}}}}.
  
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

\stepcounter{subsection}
{\newpage\clearpage
\lthtmldisplayA{displaymath354}%
\begin{displaymath}
  \ensuremath{\sigma_\ensuremath{\mathrm{Jy}}} = \frac{\ensuremath{J_\ensuremath{\mathrm{ant}}^\ensuremath{\mathrm{int}}}\,\ensuremath{T_\ensuremath{\mathrm{sys}}}}{\ensuremath{\eta_\ensuremath{\mathrm{spec}}}\,\sqrt{\ensuremath{n_\ensuremath{\mathrm{ant}}}\,(\ensuremath{n_\ensuremath{\mathrm{ant}}}-1)\,\ensuremath{d\nu}\,\ensuremath{n_\ensuremath{\mathrm{pol}}}\,\ensuremath{\Delta t_\ensuremath{\mathrm{on}}}}},
  
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath360}%
\begin{displaymath}
  \ensuremath{\sigma_\ensuremath{\mathrm{K}}} = \frac{\ensuremath{\sigma_\ensuremath{\mathrm{Jy}}}}{\ensuremath{J_\ensuremath{\mathrm{ant}}^\ensuremath{\mathrm{syn}}}}
  \quad \mbox{with} \quad
  \ensuremath{J_\ensuremath{\mathrm{ant}}^\ensuremath{\mathrm{syn}}} = \frac{2\pi\,\ensuremath{k}\,\ensuremath{\theta_\ensuremath{\mathrm{maj}}}\ensuremath{\theta_\ensuremath{\mathrm{min}}}}{4\,\ln{2}\,\ensuremath{\lambda}^2}.
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

\stepcounter{section}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2863}%
\ensuremath{\Delta t_\ensuremath{\mathrm{tel}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2867}%
\ensuremath{\Delta t_\ensuremath{\mathrm{on}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3261}%
$\ensuremath{\Delta t_\ensuremath{\mathrm{tune}}}\sim 40$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2871}%
\ensuremath{\Delta t_\ensuremath{\mathrm{tune}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2873}%
\ensuremath{n_\ensuremath{\mathrm{track}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3263}%
$\ensuremath{n_\ensuremath{\mathrm{track}}}\times \ensuremath{\Delta t_\ensuremath{\mathrm{tune}}}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2879}%
\ensuremath{\Delta t_\ensuremath{\mathrm{obs}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath375}%
\begin{displaymath}
    \ensuremath{\Delta t_\ensuremath{\mathrm{obs}}}= \ensuremath{\Delta t_\ensuremath{\mathrm{tel}}}- \ensuremath{n_\ensuremath{\mathrm{track}}}\times \ensuremath{\Delta t_\ensuremath{\mathrm{tune}}}
  \end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3265}%
$\ensuremath{n_\ensuremath{\mathrm{track}}}= \frac{\ensuremath{\Delta t_\ensuremath{\mathrm{tel}}}}{\ensuremath{\ensuremath{\Delta t_\ensuremath{\mathrm{track}}}}+ \ensuremath{\Delta t_\ensuremath{\mathrm{tune}}}}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2897}%
\ensuremath{\ensuremath{\Delta t_\ensuremath{\mathrm{track}}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3267}%
$0 \deg$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3271}%
$-10 \deg$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3273}%
$-20 \deg$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3275}%
$-30 \deg$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3283}%
$\ensuremath{\Delta t_\ensuremath{\mathrm{tel}}}< \ensuremath{\ensuremath{\Delta t_\ensuremath{\mathrm{track}}}}+ \ensuremath{\Delta t_\ensuremath{\mathrm{tune}}}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath390}%
\begin{displaymath}
    \ensuremath{\Delta t_\ensuremath{\mathrm{on}}}= \ensuremath{\Delta t_\ensuremath{\mathrm{obs}}}\times \ensuremath{\eta_\ensuremath{\mathrm{tel}}}
  \end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2927}%
\ensuremath{\eta_\ensuremath{\mathrm{tel}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3285}%
$\ensuremath{\lambda}/(2\ensuremath{d_\ensuremath{\mathrm{prim}}})$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2933}%
\ensuremath{d_\ensuremath{\mathrm{prim}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

\stepcounter{subsection}
{\newpage\clearpage
\lthtmldisplayA{displaymath402}%
\begin{displaymath}
  \ensuremath{\sigma_\ensuremath{\mathrm{Jy}}} = \frac{\ensuremath{J_\ensuremath{\mathrm{ant}}^\ensuremath{\mathrm{int}}}\,\ensuremath{T_\ensuremath{\mathrm{sys}}}}{\ensuremath{\eta_\ensuremath{\mathrm{spec}}}\,\sqrt{\ensuremath{n_\ensuremath{\mathrm{ant}}}\,(\ensuremath{n_\ensuremath{\mathrm{ant}}}-1)\,\ensuremath{d\nu}\,\ensuremath{n_\ensuremath{\mathrm{pol}}}\,\ensuremath{\Delta t_\ensuremath{\mathrm{on}}}}}
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath408}%
\begin{displaymath}
  \ensuremath{\Delta t_\ensuremath{\mathrm{on}}}= \frac{\ensuremath{\Delta t_\ensuremath{\mathrm{tel}}}\,-\,  \ensuremath{n_\ensuremath{\mathrm{track}}}\times  \ensuremath{\Delta t_\ensuremath{\mathrm{tune}}}}{\ensuremath{\eta_\ensuremath{\mathrm{tel}}}}
  
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

\stepcounter{subsection}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2969}%
\ensuremath{n_\ensuremath{\mathrm{sou}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath421}%
\begin{displaymath}
  \mbox{with} \quad
  \ensuremath{\Delta t_\ensuremath{\mathrm{on}}}=  \frac{\ensuremath{\Delta t_\ensuremath{\mathrm{tel}}}\,-\,  \ensuremath{n_\ensuremath{\mathrm{track}}}\times  \ensuremath{\Delta t_\ensuremath{\mathrm{tune}}}}{\ensuremath{\eta_\ensuremath{\mathrm{tel}}}\times \ensuremath{n_\ensuremath{\mathrm{sou}}}}
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

\stepcounter{subsection}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3003}%
\ensuremath{A_\ensuremath{\mathrm{map}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3005}%
\ensuremath{n_\ensuremath{\mathrm{beam}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath430}%
\begin{displaymath}
  \ensuremath{n_\ensuremath{\mathrm{beam}}}= \frac{\ensuremath{A_\ensuremath{\mathrm{map}}}}{\ensuremath{A_\ensuremath{\mathrm{beam}}}}
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3013}%
\ensuremath{A_\ensuremath{\mathrm{beam}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3015}%
\ensuremath{\theta_\ensuremath{\mathrm{}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath435}%
\begin{displaymath}
  \ensuremath{A_\ensuremath{\mathrm{beam}}}= \frac{0.8\,\pi\,\ensuremath{\theta_\ensuremath{\mathrm{prim}}}^2}{4\,\ln(2)},
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3287}%
$\ensuremath{n_\ensuremath{\mathrm{point}}}> \ensuremath{n_\ensuremath{\mathrm{beam}}}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath446}%
\begin{displaymath}
  \quad \mbox{with} \quad
  \ensuremath{\Delta t_\ensuremath{\mathrm{on}}}=  \frac{\ensuremath{\Delta t_\ensuremath{\mathrm{tel}}}\,-\, \ensuremath{n_\ensuremath{\mathrm{track}}}\times  \ensuremath{\Delta t_\ensuremath{\mathrm{tune}}}}{\ensuremath{\eta_\ensuremath{\mathrm{tel}}}\times \ensuremath{n_\ensuremath{\mathrm{beam}}}}
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3063}%
\ensuremath{n_\ensuremath{\mathrm{point}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath455}%
\begin{displaymath}
    \ensuremath{n_\ensuremath{\mathrm{point}}}= \ensuremath{n_\ensuremath{\mathrm{beam}}}\, \ensuremath{\displaystyle\left(  \frac{7}{4} \right) }^2,
  \end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3289}%
$uv$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath461}%
\begin{displaymath}
    \ensuremath{\Delta t_\ensuremath{\mathrm{on}}}=  \frac{\ensuremath{\Delta t_\ensuremath{\mathrm{tel}}}\,-\,  n_{\ensuremath{\mathrm{tracks}}} \times  \ensuremath{\Delta t_\ensuremath{\mathrm{tune}}}}{\ensuremath{\eta_\ensuremath{\mathrm{tel}}}\ensuremath{\eta_\ensuremath{\mathrm{mos}}}\times \ensuremath{n_\ensuremath{\mathrm{beam}}}}
    \quad \mbox{with} \quad
    \ensuremath{\eta_\ensuremath{\mathrm{mos}}}= \frac{\ensuremath{\Delta t_\ensuremath{\mathrm{}}}+\ensuremath{\ensuremath{\Delta t_\ensuremath{\mathrm{slew}}}}}{\ensuremath{\Delta t_\ensuremath{\mathrm{}}}},
  \end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3097}%
\ensuremath{\ensuremath{\Delta t_\ensuremath{\mathrm{slew}}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath472}%
\begin{displaymath}
      \ensuremath{\ensuremath{\Delta t_\ensuremath{\mathrm{min}}}}= 10\,\mbox{sec}.
    \end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath475}%
\begin{displaymath}
      \frac{\ensuremath{\Delta t_\ensuremath{\mathrm{}}}}{1 s} << \frac{6900}{\ensuremath{\theta_\ensuremath{\mathrm{alias}}} / \ensuremath{\theta_\ensuremath{\mathrm{syn}}}},
      
    \end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3293}%
$\ensuremath{\theta_\ensuremath{\mathrm{alias}}}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3295}%
$\ensuremath{\theta_\ensuremath{\mathrm{syn}}}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath482}%
\begin{displaymath}
      \ensuremath{\ensuremath{\Delta t_\ensuremath{\mathrm{min}}}}\le \frac{1}{\eta}\,\frac{6\,900}{1\,\ensuremath{\mathrm{sec}}}\,
      \sqrt{\frac{\ensuremath{\theta_\ensuremath{\mathrm{maj}}}\ensuremath{\theta_\ensuremath{\mathrm{min}}}}{\ensuremath{A_\ensuremath{\mathrm{map}}}}},
    \end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3297}%
$\eta$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3299}%
$\ensuremath{\ensuremath{\Delta t_\ensuremath{\mathrm{slew}}}}= 11\,$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath492}%
\begin{displaymath}
    1 \le \ensuremath{\eta_\ensuremath{\mathrm{mos}}}\le 2.3
  \end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3127}%
\ensuremath{\ensuremath{\Delta t_\ensuremath{\mathrm{cycle}}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath494}%
\begin{displaymath}
    \ensuremath{n_\ensuremath{\mathrm{point/track}}^\ensuremath{\mathrm{max}}}= \frac{\ensuremath{\ensuremath{\Delta t_\ensuremath{\mathrm{cycle}}}}}{\ensuremath{\ensuremath{\Delta t_\ensuremath{\mathrm{min}}}}+\ensuremath{\ensuremath{\Delta t_\ensuremath{\mathrm{slew}}}}} = 130.
  \end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3301}%
$\ensuremath{n_\ensuremath{\mathrm{point/track}}}= \ensuremath{\displaystyle\left(  \frac{7}{4} \right) }^2 \, \frac{\ensuremath{n_\ensuremath{\mathrm{beam}}}}{\ensuremath{n_\ensuremath{\mathrm{track}}}}.$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3145}%
\ensuremath{n_\ensuremath{\mathrm{point/track}}^\ensuremath{\mathrm{max}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath510}%
\begin{displaymath}
  \mbox{with} \quad
  \ensuremath{\Delta t_\ensuremath{\mathrm{on}}}=  \frac{\ensuremath{\Delta t_\ensuremath{\mathrm{tel}}}\,-\,  n_{\ensuremath{\mathrm{tracks}}} \times  \ensuremath{\Delta t_\ensuremath{\mathrm{tune}}}}{\ensuremath{\eta_\ensuremath{\mathrm{tel}}}\ensuremath{\eta_\ensuremath{\mathrm{mos}}}\ensuremath{n_\ensuremath{\mathrm{beam}}}}
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

\stepcounter{subsection}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3179}%
\bgroup\color{red}\ensuremath{T_\ensuremath{\mathrm{rec}}}\egroup%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

\stepcounter{subsubsection}
\stepcounter{subsection}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3183}%
\bgroup\color{red}\ensuremath{n_\ensuremath{\mathrm{freq}}}\egroup%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3303}%
$(\ensuremath{n_\ensuremath{\mathrm{freq}}}-1)*\ensuremath{\Delta t_\ensuremath{\mathrm{freq}}}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3189}%
\ensuremath{\Delta t_\ensuremath{\mathrm{freq}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath2279}%
\begin{displaymath}
       \ensuremath{\Omega}= \frac{1}{\ensuremath{\eta_\ensuremath{\mathrm{tel}}}}.
     \end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath2283}%
\begin{displaymath}
       \ensuremath{\Omega}= \ensuremath{\Omega_\ensuremath{\mathrm{gen}}}+ \ensuremath{n_\ensuremath{\mathrm{gaincal}}}\,\ensuremath{\Omega_\ensuremath{\mathrm{gaincal}}}\,\ensuremath{\Omega_\ensuremath{\mathrm{cycling}}}.
     \end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3305}%
$\ensuremath{\Omega_\ensuremath{\mathrm{gen}}}= 1.3$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3307}%
$\ensuremath{\Omega_\ensuremath{\mathrm{gaincal}}}= 0.3$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3309}%
$\ensuremath{n_\ensuremath{\mathrm{gaincal}}^\ensuremath{\mathrm{def}}}= 1$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3311}%
$\ensuremath{\Omega_\ensuremath{\mathrm{cycling}}}= 2$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

\stepcounter{subsubsection}
\appendix

\end{document}
