cps corrections

main/C.tex

-\chapter{The first detection}
+\chapter{Useful insights}
 \label{C}
 
+\section{The first Detection}
 On 14th September 2015 the two LIGO antennas observed for the first time a signal from a gravitational wave produced by the merger of two black holes. This was the very first time that a merger of such massive and elusive objects could be observed.\\
 The gravitational-wave signal has been named GW150914 and has been emitted by 2 black hole of masses of 36 $M_{\odot}$ and 29 $M_{\odot}$, which merged at a distance of 410 Mpc (z = 0.09)and produced a final BH of 62 $M_{\odot}$. The remaining 3 $M_{\odot}$ have been radiated in gravitational waves. Fig. \ref{gwsig} shows the signal detected from LIGO Hanford and LIGO Livingston.\\
 This detection has been the result of a wide scientific collaboration which efforts made possible a discovery that deserved the Nobel Prize in Physics in 2017 to the pioneers of gravitational wave hunting  \textit{'for decisive contributions to the LIGO detector and the observation of gravitational waves'}.
@@ -16,4 +17,47 @@ This detection has been the result of a wide scientific collaboration which effo
 \begin{figure}
 \includegraphics[scale=0.65, angle=90]{images/logos.pdf}
 \caption[The gravitational-wave scientific community]{The gravitational-wave scientific community (image kindly provided by \cite{cavaglia}).}
-\end{figure}
\ No newline at end of file
+\end{figure}
+
+\section{LIGO duty cycle}
+The efficiency of the instrument was show in Fig. \ref{duty}, and the upper chart is reported here.
+
+\begin{figure}[h!]
+\centering
+\includegraphics[scale=0.35]{images/duty_cycle.png}
+\end{figure}
+
+\noindent
+The legend of this pie chart is defined in the detchar summary pages \textit{https://summary.ligo.org/O3/}. From a private conversation with Dr. Jeff Kissel, it is generally intended as in Tab \ref{dutylegend}.
+
+\begin{table}[h!]
+\centering
+\begin{tabular}{l|l}
+\multicolumn{1}{l|}{\textbf{Legend}} & \multicolumn{1}{l}{\textbf{Jeff's definition}} \\ \hline
+\hline\\
+Observing  & \pbox{10cm}{We are at nominal low noise, no one is messing with the interferometer}\\ 
+\hline\\
+Ready  & \pbox{10cm} {We are at nominal low noise, but the low-latency processes aren’t functioning normally}\\
+\hline\\
+Locked & \pbox{10cm} {LIGO is locked, and the automated lock-acquisition system thinks it’s in nominal low noise, but the operator hasn’t confirmed that we’re ready yet}\\
+\hline\\
+Not locked &  every other time.        
+\end{tabular}
+\caption[Duty cycle legend of LIGO]{Duty cycle legend of LIGO as explained by Dr. Jeff Kissel (from a private conversation).}
+\label{dutylegend}
+\end{table}
+
+\noindent
+Other definitions and details about duty cycle and performance of the instrument can be found in \cite{duty1} and \cite{duty2}.
+
+\section{The PRCL suspension filters}
+
+The transfer function of the suspensions of the PRCL cavity illustrated in the block diagram of Chapter 5, are shown in the plot \ref{prclm1}. The complicated shape of this functions makes difficult to manually solve the PRCL block diagram and simulate the motion of the optics. To solve the diagram, the Mathematica software has been used.
+
+\begin{figure}[h!]
+\centering
+\includegraphics[scale=0.3]{images/m1prcl.png}
+\caption[Transfer function of the suspensions for PRCL]{Transfer function of the suspensions for PRCL.}
+\label{prclm1}
+\end{figure}
+

main/main.tex

@@ -16,6 +16,8 @@
 \usepackage{verbatim}
 \usepackage{lscape}
 \usepackage{amsmath,amssymb}
+\usepackage{tabularx,pbox}
+%\usepackage{setspace}
 %\usepackage{hyperref}
 %\mathrm
 \linespread{2}
@@ -329,6 +331,10 @@ Beginning of Gravitational Wave Astronomy}
 
 \bibitem{cavaglia} M. Cavaglia, \textit{Logo slide with institution names}, DCC G1300394
 
+\bibitem{duty1} Buikema A. et al., \textit{Sensitivity and Performance of the Advanced LIGO Detectors in the Third Observing Run}, https://dcc.ligo.org/LIGO-P2000122
+
+\bibitem{duty2} Davis D. et al., \textit{LIGO Detector Characterization in the Second and Third Observing Runs}, https://dcc.ligo.org/LIGO-P2000495
+
 \end{thebibliography}
 
 %\chapter*{Grazie!}