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Edward Brown edited figures/fig_for_inclass_nova1/caption.tex
about 9 years ago
Commit id: 5bbee1df3ff5a0ff6ee6b0cab551cffbfa32fa35
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\itshape
Consider the attached image of a nova observed with the millimeter telescope CARMA at 96 GHz (Panel A). Histograms of pixel values are shown in Panels B and C (Panel C is just a zoom-in of a region on Panel B); these are just like the histograms you made in DS9's \verb|Scale Parameters|. The pixel values after calibration are expressed as flux density per pixel (units of mJy/pixel). The plotted range ($-2$ to $36\,\mathrm{mJy/pixel}$) includes all pixels in the image.
\noindent 1) \begin{enumerate}
\item Estimate the average background value ($\bar{S}$) and explain your
reasoning.\\ reasoning.
\noindent 2) \item Estimate the standard deviation of the background ($\sigma$), and explain your
reasoning.\\ reasoning.
\noindent 3) \item Estimate the peak flux density of the nova ($S_{\mathrm{max}}$), and explain your
reasoning.\\ reasoning.
\noindent 4) \item Astronomers usually only take detections seriously if they are 5 or more $\sigma$ significant---that is, if the detected source is at least five times brighter than the
standard deviation of the background. In other words, the source's peak flux should be $S_{\mathrm{max}} > (\bar{S} + 5 \sigma)$. Estimate how many sigma the peak flux density of the nova is, and show your reasoning. Would this detection be taken seriously by other astronomers?
\end{enumerate}
\end{quote}