\batchmode
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\makeindex{}


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%
\providecommand{\etal}{et al.}%
\providecommand{\ie}{{\em i.e.}}%
\providecommand{\eg}{{\em e.g.}}%
\providecommand{\cf}{cf.} 

%
\providecommand{\emm}[1]{\ensuremath{#1}}    % Ensures math mode.%
\providecommand{\emr}[1]{\ensuremath{\mathrm{#1}}}  % Uses math roman fonts.%
\providecommand{\nds}[1]{\ensuremath{\displaystyle#1}}  % Normal display size for array and tabular environment.%
\providecommand{\paren}[1]{\ensuremath{\displaystyle\left(  #1 \right) }}  % Parenthesis.%
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\providecommand{\bracket}[1]{\ensuremath{\displaystyle\left[  #1 \right] }}  % Brackets.%
\providecommand{\abs}[1]{\ensuremath{\left| #1 \right|}}  % Absolute value.

%
\providecommand{\noise}[1][]{\ensuremath{\sigma_\ensuremath{\mathrm{#1}}}}%
\providecommand{\noisebeam}{\ensuremath{\sigma_\ensuremath{\mathrm{beam}}}}%
\providecommand{\nefd}{\ensuremath{\mathrm{NEFD}}}%
\providecommand{\elev}{\ensuremath{\mathrm{el}}}%
\providecommand{\tauzen}{\ensuremath{\tau_\ensuremath{\mathrm{zen}}}}%
\providecommand{\A}{\ensuremath{A}} 

%
\providecommand{\tint}[2][]{\ensuremath{t^\ensuremath{\mathrm{#1}}_\ensuremath{\mathrm{#2}}}}%
\providecommand{\tsig}{\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{\ensuremath{\sigma_\ensuremath{\mathrm{}}}}}}}%
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\providecommand{\tsigbeam}{\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{beam}}}}%
\providecommand{\tcover}{\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{cover}}}}%
\providecommand{\ttel}{\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{tel}}}} 

%
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\providecommand{\nsource}{\ensuremath{n_\ensuremath{\mathrm{source}}}}%
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\providecommand{\nsubscanmax}{\ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{max}}}}%
\providecommand{\nsubscanres}{\ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{res}}}}%
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\providecommand{\ncal}{\ensuremath{n_\ensuremath{\mathrm{cal}}}}%
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\providecommand{\dscan}{\ensuremath{d_\ensuremath{\mathrm{scan}}}}%
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\providecommand{\tfocus}{\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{focus}}}}%
\providecommand{\tskydips}{\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{skydips}}}}%
\providecommand{\tcalonoff}{\ensuremath{t^\ensuremath{\mathrm{cal}}_\ensuremath{\mathrm{onoff}}}}%
\providecommand{\caloverhead}{\ensuremath{\eta_\ensuremath{\mathrm{cal}}}} 

%
\providecommand{\Amap}{\ensuremath{\Omega_\ensuremath{\mathrm{map}}}}%
\providecommand{\Abeam}{\ensuremath{\Omega_\ensuremath{\mathrm{beam}}}}%
\providecommand{\beam}{\ensuremath{\theta}}%
\providecommand{\grideff}{\ensuremath{\eta_\ensuremath{\mathrm{grid}}}}%
\providecommand{\nbeam}{\ensuremath{n_\ensuremath{\mathrm{beam}}}}%
\providecommand{\nbeambol}{\ensuremath{n_\ensuremath{\mathrm{beam}}^\ensuremath{\mathrm{bol}}}} 

%
\providecommand{\vlin}{\ensuremath{v_\ensuremath{\mathrm{\|}}}} 

%
\providecommand{\dist}[2][]{\ensuremath{\Delta^\ensuremath{\mathrm{#1}}_\ensuremath{\mathrm{#2}}}}%
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%
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\providecommand{\nbolmax}{\ensuremath{n^\ensuremath{\mathrm{max}}_\ensuremath{\mathrm{bol}}}}%
\providecommand{\nboldead}{\ensuremath{n^\ensuremath{\mathrm{dead}}_\ensuremath{\mathrm{bol}}}} 

%
\providecommand{\Asubmap}{\ensuremath{\Omega_\ensuremath{\mathrm{submap}}}}%
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%
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%
\providecommand{\csf}{\ensuremath{\alpha}} 


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\lhead{\scshape IRAM-30m MAMBO time/sensitivity estimator}
\rhead{\scshape \nouppercase{\rightmark}}   %
\fancyfoot[C]{\bfseries\thepage {}}


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\renewcommand{\headrulewidth}{0pt}    %
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\renewcommand{\sectionmark}[1]{%
  \markright{\thesection. \MakeLowercase{#1}}}
%
\renewcommand{\subsectionmark}[1]{}

%
\providecommand{\TabParams}{%
  \begin{center}
    Table 1: Values of parameters independent of the observing mode.\\
    \begin{tabular}{lrc}
      \hline
      \hline
      Parameter & Value & Unit \\
      \hline
      \ensuremath{\mathrm{NEFD}}{}        & 30  & (mJy/beam)\,$\sqrt{\mbox{s}}$\\
      \hline
      \ensuremath{d_\ensuremath{\mathrm{cal}}}{}        & 1   & hr  \\
      \ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{pointing}}}{}   & 3   & min \\
      \ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{focus}}}{}      & 2   & min \\
      \ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{skydips}}}{}    & 5   & min \\
      \ensuremath{t^\ensuremath{\mathrm{cal}}_\ensuremath{\mathrm{onoff}}}{}   & 4   & min \\
      \ensuremath{\eta_\ensuremath{\mathrm{cal}}}{} & 1.5 & --- \\
      \hline
      \ensuremath{\epsilon_\ensuremath{\mathrm{tel}}}{}      & 1   & --- \\
      \hline
    \end{tabular}    
  \end{center}
  \label{tab:params}} 

%
\providecommand{\TabOpacities}{%
  \begin{center}
    Table 2: Values of used zenith opacities (\ensuremath{\tau_\ensuremath{\mathrm{zen}}}{}) as a function of
    weather conditions for summer and winter.\\
    \begin{tabular}{cccc}
      \hline
      \hline
      & Excellent & Average & Poor \\
      \hline
      Winter & $\le 0.10$\  & $\le 0.30$\  & $\le 0.50$\  \\
      Summer & $\le 0.20$\  & $\le 0.35$\  & $\le 0.50$\  \\
      \hline
    \end{tabular}    
  \end{center}
  \label{tab:opacities}} 

%
\providecommand{\TabMap}{%
  \begin{center}
    Table 3: User defined values of parameters for the mapping observing mode.\\
    \begin{tabular}{lcccc}
      \hline
      \hline
      Parameter & Default  & Minimum & Maximum & Unit \\
      \hline
      \ensuremath{v_\ensuremath{\mathrm{\|}}}{}     &   8 &   4 &  10 & arcsec\,s$^{-1}$\  \\
      \ensuremath{\delta}{}   &   8 &   5 &  24 & arcsec \\
      \ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{throw}}}{}   &  60 &  30 &  90 & arcsec \\
      \hline
    \end{tabular}    
  \end{center}
  \label{tab:mapping}} 

%
\providecommand{\TabArray}{%
  \begin{center}
    Table 4: Fixed values of parameters for the mapping observing mode.\\
    \begin{tabular}{lrc}
      \hline
      \hline
      Parameter & Value & Unit \\
      \hline
      \ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{base}}}{}    &  30 & arcsec \\
      \ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{array}}}{}   & 245 & arcsec \\
      \ensuremath{n^\ensuremath{\mathrm{max}}_\ensuremath{\mathrm{bol}}}{}  & 117 & --- \\
      \ensuremath{n^\ensuremath{\mathrm{dead}}_\ensuremath{\mathrm{bol}}}{} &  14 & --- \\
      \hline
      \ensuremath{d_\ensuremath{\mathrm{submap}}}{}  &   1 & hr \\
      \ensuremath{d_\ensuremath{\mathrm{scan}}}{}    &   1 & hr \\
      \hline
      $\ensuremath{\alpha}(40'')$\  & 0.4 & mJy/beam.$\sqrt{\ensuremath{\mathrm{sec}}}$/arcsec \\
      $\ensuremath{\alpha}(2')$\   & 1.2 & mJy/beam.$\sqrt{\ensuremath{\mathrm{sec}}}$/arcsec \\
      \hline
    \end{tabular}    
  \end{center}
  \label{tab:array}} 

%
\providecommand{\TabOnOff}{%
  \begin{center}
    Table 5: Values of parameters for the On-Off observing mode.\\
    \begin{tabular}{lrc}
      \hline
      \hline
      Parameter & Value & Unit \\
      \hline
      \ensuremath{n_\ensuremath{\mathrm{subscan}}}{}     & 20  & --- \\
      \ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{subscan}}}{}     & 60  & sec \\
      \ensuremath{t^\ensuremath{\mathrm{overhead}}_\ensuremath{\mathrm{subscan}}}{} &  4  & sec \\
      \ensuremath{t^\ensuremath{\mathrm{overhead}}_\ensuremath{\mathrm{scan}}}{}    & 15  & sec \\
      \hline
    \end{tabular}    
  \end{center}
  \label{tab:onoff}} 




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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4274}%
\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{subscan}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4276}%
\ensuremath{t^\ensuremath{\mathrm{overhead}}_\ensuremath{\mathrm{subscan}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4280}%
\ensuremath{t^\ensuremath{\mathrm{overhead}}_\ensuremath{\mathrm{scan}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4282}%
\ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{max}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4284}%
\ensuremath{n_\ensuremath{\mathrm{scan}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4286}%
\ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{res}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5602}%
$\displaystyle \ensuremath{n_\ensuremath{\mathrm{scan}}}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5603}%
$\textstyle =$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5604}%
$\displaystyle \ensuremath{\mathrm{floor}}\ensuremath{\displaystyle\left(  \frac{\ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{tot}}}}{\ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{max}}}} \right) },$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5605}%
$\displaystyle \ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{res}}}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5607}%
$\displaystyle \ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{tot}}}- \ensuremath{n_\ensuremath{\mathrm{scan}}}\ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{max}}}.$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline5138}%
$\ensuremath{n_\ensuremath{\mathrm{scan}}}+1$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline5140}%
$\ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{res}}}\ge
1$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline5142}%
$\ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{res}}}= 0$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5613}%
$\displaystyle \ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{scan}}}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5615}%
$\displaystyle \ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{max}}}\,(\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{subscan}}}+\ensuremath{t^\ensuremath{\mathrm{overhead}}_\ensuremath{\mathrm{subscan}}}) + \ensuremath{t^\ensuremath{\mathrm{overhead}}_\ensuremath{\mathrm{scan}}},$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5616}%
$\displaystyle \ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{source}}}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5618}%
$\displaystyle \ensuremath{n_\ensuremath{\mathrm{scan}}}\,\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{scan}}}+ \ensuremath{\displaystyle\left[  \ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{res}}}(\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{subscan}}}+\ensuremath{t^\ensuremath{\mathrm{overhead}}_\ensuremath{\mathrm{subscan}}}) + \ensuremath{t^\ensuremath{\mathrm{overhead}}_\ensuremath{\mathrm{scan}}} \right] }.$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

\stepcounter{section}
{\newpage\clearpage
\lthtmldisplayA{displaymath324}%
\begin{displaymath}
  \ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{\ensuremath{\sigma_\ensuremath{\mathrm{}}}}}}= \ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{tot}}}\, \ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{subscan}}}.
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

\stepcounter{section}
\stepcounter{subsection}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline5144}%
$\ensuremath{\Delta^\ensuremath{\mathrm{\|}}_\ensuremath{\mathrm{sou}}}\times
\ensuremath{\Delta^\ensuremath{\mathrm{\bot}}_\ensuremath{\mathrm{sou}}}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline5146}%
$\ensuremath{\Delta^\ensuremath{\mathrm{\|}}_\ensuremath{\mathrm{tot}}}\times
\ensuremath{\Delta^\ensuremath{\mathrm{\bot}}_\ensuremath{\mathrm{tot}}}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5626}%
$\displaystyle \ensuremath{\Delta^\ensuremath{\mathrm{\bot}}_\ensuremath{\mathrm{tot}}}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5628}%
$\displaystyle \ensuremath{\Delta^\ensuremath{\mathrm{\bot}}_\ensuremath{\mathrm{sou}}},$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5629}%
$\displaystyle \ensuremath{\Delta^\ensuremath{\mathrm{\|}}_\ensuremath{\mathrm{tot}}}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5631}%
$\displaystyle \ensuremath{\Delta^\ensuremath{\mathrm{\|}}_\ensuremath{\mathrm{sou}}}+ \ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{array}}}+ \ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{throw}}}+ \ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{base}}},$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4356}%
\ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{array}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4358}%
\ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{throw}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4360}%
\ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{base}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4362}%
\ensuremath{v_\ensuremath{\mathrm{\|}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4364}%
\ensuremath{\Delta^\ensuremath{\mathrm{\|}}_\ensuremath{\mathrm{tot}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4368}%
\ensuremath{\delta}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4370}%
\ensuremath{\Omega_\ensuremath{\mathrm{map}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4372}%
\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{cover}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4374}%
\ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{cover}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath344}%
\begin{displaymath}
  \ensuremath{\Omega_\ensuremath{\mathrm{map}}}= \ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{cover}}}\,\ensuremath{\delta}\,\ensuremath{\Delta^\ensuremath{\mathrm{\|}}_\ensuremath{\mathrm{tot}}}
  \quad \mbox{with} \quad
  \ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{cover}}}= \ensuremath{\mathrm{ceil}}\ensuremath{\displaystyle\left(  \frac{\ensuremath{\Delta^\ensuremath{\mathrm{\bot}}_\ensuremath{\mathrm{tot}}}}{\ensuremath{\delta}}+1 \right) };
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath349}%
\begin{displaymath}
  \ensuremath{\Delta^\ensuremath{\mathrm{\|}}_\ensuremath{\mathrm{tot}}}= \ensuremath{v_\ensuremath{\mathrm{\|}}}\,\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{subscan}}}
  \quad \mbox{and} \quad
  \ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{cover}}}= \ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{cover}}}\,\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{subscan}}};
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath352}%
\begin{displaymath}
  \ensuremath{\Omega_\ensuremath{\mathrm{map}}}= \ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{cover}}}\,\ensuremath{\delta}\,\ensuremath{v_\ensuremath{\mathrm{\|}}}.
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

\stepcounter{subsection}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline5148}%
$\ensuremath{\Delta^\ensuremath{\mathrm{\|}}_\ensuremath{\mathrm{sou}}}< 0.5^\circ$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline5152}%
$\ensuremath{\Delta^\ensuremath{\mathrm{\|}}_\ensuremath{\mathrm{mos}}}\times \ensuremath{\Delta^\ensuremath{\mathrm{\bot}}_\ensuremath{\mathrm{mos}}}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4422}%
\ensuremath{d_\ensuremath{\mathrm{submap}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline5154}%
$\ensuremath{d_\ensuremath{\mathrm{cal}}}/\ensuremath{d_\ensuremath{\mathrm{submap}}}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline5156}%
$\ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{edge}}}= \ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{array}}}+\ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{throw}}}+\ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{base}}}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4436}%
\ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{submap}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath363}%
\begin{displaymath}
    \ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{submap}}}\,(\ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{submap}}}+\ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{edge}}}) = \ensuremath{d_\ensuremath{\mathrm{submap}}}\,\ensuremath{\delta}\,\ensuremath{v_\ensuremath{\mathrm{\|}}}.
  \end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath365}%
\begin{displaymath}
    \ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{submap}}}= \frac{\sqrt{\ensuremath{\Delta^\ensuremath{\mathrm{2}}_\ensuremath{\mathrm{edge}}}+4\ensuremath{d_\ensuremath{\mathrm{submap}}}\,\ensuremath{\delta}\,\ensuremath{v_\ensuremath{\mathrm{\|}}}}-\ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{edge}}}}{2}.
  \end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline5158}%
$\ensuremath{\Delta^\ensuremath{\mathrm{\|}}_\ensuremath{\mathrm{mos}}}\,\ensuremath{\Delta^\ensuremath{\mathrm{\bot}}_\ensuremath{\mathrm{mos}}}\le \ensuremath{\Delta^\ensuremath{\mathrm{2}}_\ensuremath{\mathrm{submap}}}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5662}%
$\displaystyle \ensuremath{\Delta^\ensuremath{\mathrm{\bot}}_\ensuremath{\mathrm{mos}}},$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5665}%
$\displaystyle \ensuremath{\Delta^\ensuremath{\mathrm{\|}}_\ensuremath{\mathrm{mos}}}+ \ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{array}}}+ \ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{throw}}}+ \ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{base}}},$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5666}%
$\displaystyle \ensuremath{n_\ensuremath{\mathrm{source}}}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5668}%
$\displaystyle 1.$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5672}%
$\displaystyle \ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{submap}}},$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5675}%
$\displaystyle \ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{submap}}}+ \ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{array}}}+ \ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{throw}}}+ \ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{base}}},$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5678}%
$\displaystyle \frac{\ensuremath{\Delta^\ensuremath{\mathrm{\|}}_\ensuremath{\mathrm{mos}}}\,\ensuremath{\Delta^\ensuremath{\mathrm{\bot}}_\ensuremath{\mathrm{mos}}}}{\ensuremath{\Delta^\ensuremath{\mathrm{2}}_\ensuremath{\mathrm{submap}}}}.$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

\stepcounter{subsection}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4508}%
\ensuremath{\sigma_\ensuremath{\mathrm{beam}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath381}%
\begin{displaymath}
  \ensuremath{\sigma_\ensuremath{\mathrm{beam}}}= \frac{\ensuremath{\mathrm{NEFD}}\,\exp\ensuremath{\displaystyle\left(  \ensuremath{A}\,\ensuremath{\tau_\ensuremath{\mathrm{zen}}} \right) }}{\sqrt{\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{beam}}}}}
  \quad \mbox{with} \quad
  \ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{beam}}}= \frac{\ensuremath{n_\ensuremath{\mathrm{cover}}}\,\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{cover}}}}{\ensuremath{n_\ensuremath{\mathrm{beam}}^\ensuremath{\mathrm{bol}}}},
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4526}%
\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{beam}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4528}%
\ensuremath{n_\ensuremath{\mathrm{cover}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4530}%
\ensuremath{n_\ensuremath{\mathrm{beam}}^\ensuremath{\mathrm{bol}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath391}%
\begin{displaymath}
  \ensuremath{n_\ensuremath{\mathrm{beam}}^\ensuremath{\mathrm{bol}}}= \frac{\ensuremath{\Omega_\ensuremath{\mathrm{map}}}}{\ensuremath{n^\ensuremath{\mathrm{tot}}_\ensuremath{\mathrm{bol}}}\,\ensuremath{\Omega_\ensuremath{\mathrm{beam}}}}
  \quad \mbox{with} \quad
  \ensuremath{n^\ensuremath{\mathrm{tot}}_\ensuremath{\mathrm{bol}}}= \ensuremath{n^\ensuremath{\mathrm{max}}_\ensuremath{\mathrm{bol}}}- \ensuremath{n^\ensuremath{\mathrm{dead}}_\ensuremath{\mathrm{bol}}}
  \quad \mbox{and} \quad
  \ensuremath{\Omega_\ensuremath{\mathrm{beam}}}= \frac{\ensuremath{\eta_\ensuremath{\mathrm{grid}}}\,\pi\,\ensuremath{\theta}^2}{4\,\ln(2)},
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4552}%
\ensuremath{n^\ensuremath{\mathrm{tot}}_\ensuremath{\mathrm{bol}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4554}%
\ensuremath{\Omega_\ensuremath{\mathrm{beam}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4556}%
\ensuremath{\eta_\ensuremath{\mathrm{grid}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4558}%
\ensuremath{\theta}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath403}%
\begin{displaymath}
  \ensuremath{\sigma_\ensuremath{\mathrm{beam}}}= \frac{\ensuremath{\mathrm{NEFD}}}{\sqrt{\ensuremath{n^\ensuremath{\mathrm{tot}}_\ensuremath{\mathrm{bol}}}\,\ensuremath{\Omega_\ensuremath{\mathrm{beam}}}}}\,\exp\ensuremath{\displaystyle\left(  \ensuremath{A}\,\ensuremath{\tau_\ensuremath{\mathrm{zen}}} \right) }\,\sqrt{\frac{\ensuremath{\delta}\,\ensuremath{v_\ensuremath{\mathrm{\|}}}}{\ensuremath{n_\ensuremath{\mathrm{cover}}}}}.
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath410}%
\begin{displaymath}
  \frac{\ensuremath{\mathrm{NEFD}}}{\sqrt{\ensuremath{n^\ensuremath{\mathrm{tot}}_\ensuremath{\mathrm{bol}}}\,\ensuremath{\Omega_\ensuremath{\mathrm{beam}}}}} \simeq 0.2\,\mbox{(mJy/Beam)}\,\sqrt{\mbox{s}}\,/''.
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath417}%
\begin{displaymath}
  \ensuremath{\sigma_\ensuremath{\mathrm{actual}}} = \ensuremath{\alpha}(\ensuremath{\Delta^\ensuremath{\mathrm{\|}}_\ensuremath{\mathrm{sou}}})\,\exp\ensuremath{\displaystyle\left(  \ensuremath{A}\,\ensuremath{\tau_\ensuremath{\mathrm{zen}}} \right) }\,\sqrt{\frac{\ensuremath{\delta}\,\ensuremath{v_\ensuremath{\mathrm{\|}}}}{\ensuremath{n_\ensuremath{\mathrm{cover}}}}},
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline5160}%
$\ensuremath{\alpha}(\ensuremath{\Delta^\ensuremath{\mathrm{\|}}_\ensuremath{\mathrm{sou}}})$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

\stepcounter{subsection}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4602}%
\ensuremath{d_\ensuremath{\mathrm{scan}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline5162}%
$\ensuremath{d_\ensuremath{\mathrm{cal}}}/\ensuremath{d_\ensuremath{\mathrm{scan}}}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath426}%
\begin{displaymath}
  \ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{max}}}\,(\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{subscan}}}+\ensuremath{t^\ensuremath{\mathrm{overhead}}_\ensuremath{\mathrm{subscan}}})+\ensuremath{t^\ensuremath{\mathrm{overhead}}_\ensuremath{\mathrm{scan}}}\le \ensuremath{d_\ensuremath{\mathrm{scan}}}
  \quad \mbox{or} \quad
  \ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{max}}}\le \frac{\ensuremath{d_\ensuremath{\mathrm{scan}}}-\ensuremath{t^\ensuremath{\mathrm{overhead}}_\ensuremath{\mathrm{scan}}}}{\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{subscan}}}+\ensuremath{t^\ensuremath{\mathrm{overhead}}_\ensuremath{\mathrm{subscan}}}}.
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

\stepcounter{section}
\stepcounter{subsection}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4660}%
\ensuremath{\mathrm{el}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5739}%
$\displaystyle \ensuremath{\Delta^\ensuremath{\mathrm{\|}}_\ensuremath{\mathrm{sou}}}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5740}%
$\textstyle \le$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5741}%
$\displaystyle 0.5^\circ,$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5747}%
$\displaystyle \ensuremath{\Delta^\ensuremath{\mathrm{\|}}_\ensuremath{\mathrm{sou}}}+ \ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{array}}}+ \ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{throw}}}+ \ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{base}}}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5748}%
$\displaystyle \ensuremath{\alpha}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5750}%
$\displaystyle \mbox{an empirical increasing function of \ensuremath{\Delta^\ensuremath{\mathrm{\|}}_\ensuremath{\mathrm{sou}}}{}.}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4682}%
\ensuremath{\alpha}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4684}%
\ensuremath{\Delta^\ensuremath{\mathrm{\|}}_\ensuremath{\mathrm{sou}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline5164}%
$\ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{submap}}}= 0.5\,\ensuremath{\displaystyle\left(  \sqrt{\ensuremath{\Delta^\ensuremath{\mathrm{2}}_\ensuremath{\mathrm{edge}}}+4\ensuremath{d_\ensuremath{\mathrm{submap}}}\,\ensuremath{\delta}\,\ensuremath{v_\ensuremath{\mathrm{\|}}}}-\ensuremath{\Delta^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{edge}}} \right) }$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5781}%
$\displaystyle \ensuremath{n_\ensuremath{\mathrm{cal}}}= \ensuremath{\mathrm{ceil}}\ensuremath{\displaystyle\left(  \frac{\ensuremath{\epsilon_\ensuremath{\mathrm{tel}}}\,\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{tel}}}}{\ensuremath{d_\ensuremath{\mathrm{cal}}}+\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{cal}}}} \right) },$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5782}%
$\displaystyle 2.$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5783}%
$\displaystyle \ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{source}}}= \frac{\ensuremath{\epsilon_\ensuremath{\mathrm{tel}}}\,\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{tel}}}-\ensuremath{n_\ensuremath{\mathrm{cal}}}\,\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{cal}}}}{\ensuremath{n_\ensuremath{\mathrm{source}}}}.$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline5170}%
$\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{source}}}< 0$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline5172}%
$\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{cal}}}/\ensuremath{\epsilon_\ensuremath{\mathrm{tel}}}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4776}%
\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{scan}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5793}%
$\displaystyle \mbox{\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{subscan}}}{} and \ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{max}}}{} are fixed,}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5795}%
$\displaystyle \ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{scan}}}= \ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{max}}}\, (\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{subscan}}}+ \ensuremath{t^\ensuremath{\mathrm{overhead}}_\ensuremath{\mathrm{subscan}}}) + \ensuremath{t^\ensuremath{\mathrm{overhead}}_\ensuremath{\mathrm{scan}}}.$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5798}%
$\displaystyle \ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{subscan}}}= \frac{\ensuremath{\Delta^\ensuremath{\mathrm{\|}}_\ensuremath{\mathrm{tot}}}}{\ensuremath{v_\ensuremath{\mathrm{\|}}}},$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5800}%
$\displaystyle \ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{max}}}= \ensuremath{\mathrm{floor}}\ensuremath{\displaystyle\left(  \frac{\ensuremath{d_\ensuremath{\mathrm{scan}}}-\ensuremath{t^\ensuremath{\mathrm{overhead}}_\ensuremath{\mathrm{scan}}}}{\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{subscan}}}+\ensuremath{t^\ensuremath{\mathrm{overhead}}_\ensuremath{\mathrm{subscan}}}} \right) },$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5801}%
$\displaystyle 3.$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5802}%
$\displaystyle \mbox{if} \quad \ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{max}}}< 1, \quad \mbox{then send an error message advising to increase \ensuremath{d_\ensuremath{\mathrm{scan}}},}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5803}%
$\displaystyle 4.$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5810}%
$\displaystyle \ensuremath{n_\ensuremath{\mathrm{scan}}}= \ensuremath{\mathrm{floor}}\ensuremath{\displaystyle\left(  \frac{\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{source}}}}{\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{scan}}}} \right) },$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5812}%
$\displaystyle \ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{res}}}= \ensuremath{\mathrm{floor}}\ensuremath{\displaystyle\left(  \frac{\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{source}}}-\ensuremath{n_\ensuremath{\mathrm{scan}}}\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{scan}}}-\ensuremath{t^\ensuremath{\mathrm{overhead}}_\ensuremath{\mathrm{scan}}}}{\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{subscan}}}+\ensuremath{t^\ensuremath{\mathrm{overhead}}_\ensuremath{\mathrm{subscan}}}} \right) },$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5814}%
$\displaystyle \ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{tot}}}= \ensuremath{n_\ensuremath{\mathrm{scan}}}\ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{max}}}+ \ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{res}}}.$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5818}%
$\displaystyle \ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{cover}}}= \ensuremath{\mathrm{ceil}}\ensuremath{\displaystyle\left(  \frac{\ensuremath{\Delta^\ensuremath{\mathrm{\bot}}_\ensuremath{\mathrm{tot}}}}{\ensuremath{\delta}}+1 \right) },$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5820}%
$\displaystyle \ensuremath{n_\ensuremath{\mathrm{cover}}}= \ensuremath{\mathrm{floor}}\ensuremath{\displaystyle\left(  \frac{\ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{tot}}}}{\ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{cover}}}} \right) },$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5822}%
$\displaystyle \mbox{if} \quad \ensuremath{n_\ensuremath{\mathrm{cover}}}< 1, \quad \mbox{then send an error
      message advising to increase \ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{tel}}}{}},$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5824}%
$\displaystyle \ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{tot}}}= \ensuremath{n_\ensuremath{\mathrm{cover}}}\, \ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{cover}}}.$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5829}%
$\displaystyle \ensuremath{n_\ensuremath{\mathrm{scan}}}= \ensuremath{\mathrm{floor}}\ensuremath{\displaystyle\left(  \frac{\ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{tot}}}}{\ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{max}}}} \right) },$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5831}%
$\displaystyle \ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{res}}}= \ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{tot}}}- \ensuremath{n_\ensuremath{\mathrm{scan}}}\ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{max}}}.$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5837}%
$\displaystyle \ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{\ensuremath{\sigma_\ensuremath{\mathrm{}}}}}}= (\ensuremath{n_\ensuremath{\mathrm{scan}}}\, \ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{max}}}+ \ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{res}}}) \, \ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{subscan}}},$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5839}%
$\displaystyle \ensuremath{\sigma_\ensuremath{\mathrm{}}}= \frac{\ensuremath{\mathrm{NEFD}}\,\exp\ensuremath{\displaystyle\left(  \ensuremath{A}\,\ensuremath{\tau_\ensuremath{\mathrm{zen}}} \right) }}{\sqrt{\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{\ensuremath{\sigma_\ensuremath{\mathrm{}}}}}}}}.$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath531}%
\begin{displaymath}
      \ensuremath{\sigma_\ensuremath{\mathrm{}}}= \ensuremath{\alpha}\,\exp\ensuremath{\displaystyle\left(  \ensuremath{A}\,\ensuremath{\tau_\ensuremath{\mathrm{zen}}} \right) }\,\sqrt{\frac{\ensuremath{\delta}\,\ensuremath{v_\ensuremath{\mathrm{\|}}}}{\ensuremath{n_\ensuremath{\mathrm{cover}}}}},
    \end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5850}%
$\displaystyle \ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{source}}}= \ensuremath{n_\ensuremath{\mathrm{scan}}}\,\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{scan}}}+ \ensuremath{\displaystyle\left[  \ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{res}}}(\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{subscan}}}+\ensuremath{t^\ensuremath{\mathrm{overhead}}_\ensuremath{\mathrm{subscan}}}) + \ensuremath{t^\ensuremath{\mathrm{overhead}}_\ensuremath{\mathrm{scan}}} \right] },$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5852}%
$\displaystyle \ensuremath{n_\ensuremath{\mathrm{cal}}}= \ensuremath{\mathrm{ceil}}\ensuremath{\displaystyle\left(  \frac{\ensuremath{n_\ensuremath{\mathrm{source}}}\,\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{source}}}}{\ensuremath{d_\ensuremath{\mathrm{cal}}}} \right) },$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5854}%
$\displaystyle \ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{tel}}}= \frac{\ensuremath{n_\ensuremath{\mathrm{source}}}\,\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{source}}}+ \ensuremath{n_\ensuremath{\mathrm{cal}}}\,\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{cal}}}}{\ensuremath{\epsilon_\ensuremath{\mathrm{tel}}}}.$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

\stepcounter{subsection}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5891}%
$\displaystyle \ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{\ensuremath{\sigma_\ensuremath{\mathrm{}}}}}}= \ensuremath{\displaystyle\left[  \frac{\ensuremath{\mathrm{NEFD}}\,\exp\ensuremath{\displaystyle\left(  \ensuremath{A}\,\ensuremath{\tau_\ensuremath{\mathrm{zen}}} \right) }}{\ensuremath{\sigma_\ensuremath{\mathrm{}}}} \right] }^2,$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5893}%
$\displaystyle \ensuremath{n_\ensuremath{\mathrm{subscan}}^\ensuremath{\mathrm{tot}}}= \ensuremath{\mathrm{ceil}}\ensuremath{\displaystyle\left(  \frac{\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{\ensuremath{\sigma_\ensuremath{\mathrm{}}}}}}}{\ensuremath{t^\ensuremath{\mathrm{}}_\ensuremath{\mathrm{subscan}}}} \right) }.$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5896}%
$\displaystyle \ensuremath{n_\ensuremath{\mathrm{cover}}}= \ensuremath{\mathrm{floor}}\ensuremath{\displaystyle\left\{ \ensuremath{\delta}\,\ensuremath{v_\ensuremath{\mathrm{\|}}}\,\ensuremath{\displaystyle\left[  \frac{\ensuremath{\alpha}\,\exp(\ensuremath{A}\,\ensuremath{\tau_\ensuremath{\mathrm{zen}}})}{\ensuremath{\sigma_\ensuremath{\mathrm{}}}} \right] }^2 \right\}},$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay5898}%
$\displaystyle \mbox{if} \quad \ensuremath{n_\ensuremath{\mathrm{cover}}}< 1, \quad \mbox{then send an error message advising to decrease \ensuremath{\sigma_\ensuremath{\mathrm{}}}{}},$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

\stepcounter{section}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline5180}%
$\sqrt{\mbox{s}}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline5182}%
$\le 0.10$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline5184}%
$\le 0.30$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline5186}%
$\le 0.50$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline5188}%
$\le 0.20$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline5190}%
$\le 0.35$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline5194}%
$^{-1}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline5076}%
\ensuremath{n^\ensuremath{\mathrm{max}}_\ensuremath{\mathrm{bol}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline5078}%
\ensuremath{n^\ensuremath{\mathrm{dead}}_\ensuremath{\mathrm{bol}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline5196}%
$\ensuremath{\alpha}(40'')$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline5198}%
$\sqrt{\ensuremath{\mathrm{sec}}}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline5200}%
$\ensuremath{\alpha}(2')$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline5092}%
\ensuremath{n_\ensuremath{\mathrm{subscan}}}%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}


\end{document}
