update result description part 1

Physics_Thesis_Template/content/chapter-results.tex

@@ -1,24 +1,26 @@
 \chapter{Results \label{sec:results}}
 
 This chapter includes the main results of this study. The data for the plots were generated using the "New FC" Button from the main GUI described in section \ref{sec:gui:data_processing}.
-The results are first split into the overall results for the different spectral types M, K, G, and F as well as combined results over all analyzed spectral types. Furthermore there is a selection of individual star results.
+The results contain plots for the different spectral types M, K, G, and F as well as combined results of every possible combination. Additionally for all these possible combinations, plots with data limits, e.g. only stars with a rotational period of less than 2 days or minimal/maximal normalized flare peak limits, were also generated. Additionally plots for stars with a more detailed spectral type like M0 or G5 were created. Furthermore there is a selection of individual star results. For every plot group a CSV file is generated, which contains information about every star and flare used to generate the plot.
-The results also only contain the data of folded lightcurves which could be fitted with a sine function and less than 30 iterations of the fold optimization. The data which uses polynomial fits or both sine and polynomial fits is available at \href{https://drive.google.com/drive/folders/1L_F21W3WwZicVZg9052B12B2hJNuJBwK?usp=drive_link}{google drive}.
+The results also only contain the data of folded lightcurves which could be fitted with a sine function and less than 30 iterations of the fold optimization. The data which uses polynomial fits or both sine and polynomial fits as well as all plots and the accompanying CSV files are available at \href{https://drive.google.com/drive/folders/1L_F21W3WwZicVZg9052B12B2hJNuJBwK?usp=drive_link}{google drive}.
 
 \section{M dwarfs \label{sec:results:m_dwarfs}}
 
-This section shows the results for all M dwarfs in this study.\\
+This section shows the results for all 144 M dwarfs in this study. The list of stars can be found in table \ref{apA:list_of_m_stars}.\\
-Figures \ref{fig:M-Flarecount-10_Bins} and \ref{fig:M-Flarecount-30_Bins} show histograms, with 10 and 30 bins respectively, of the amount of flares during the normalized phase. Looking at figure \ref{fig:M-Flarecount-10_Bins} there is a rather even distribution across the whole phase, except at $0.5 \pi$. There is a clear dip in the amount of flares happening visible.\\
+Figures \ref{fig:M-Flarecount-10_Bins} and \ref{fig:M-Flarecount-30_Bins} show histograms, with 10 and 30 bins respectively, of the amount of flares during the normalized phase.\\
-Looking at the same data, just with 30 bins (figure \ref{fig:M-Flarecount-30_Bins}), the same dip is visible. Additionally there also seem to be a dip at phase $1.5 \pi$.
+Looking at figure \ref{fig:M-Flarecount-10_Bins} there is an even distribution within error of flares across the normalized phase, with the excepion of the bin at phase $0.5 \pi$. The bin at phase $0.5 \pi$ shows a significant dip of roughly twice the error bar below the surrounding bins.\\
+Looking at the same data, just with 30 instead of 10 bins (figure \ref{fig:M-Flarecount-30_Bins}), the same dip is visible. In this figure the dip spans 3 bins. Additionally there are additional dips at around phase $0.7 \pi$, $1.3 \pi$ and $1.4 \pi$. Including the error, the major dip (which was already visible in figure \ref{fig:M-Flarecount-10_Bins}) is still below the average. Similar for the dips at phases $0.7 \pi$ and $1.3 \pi$. The dip at phase $1.4 \pi$ on the other hand overlaps with its error with the error the average flare amount.
+The error bars in this figure appear larger because the individual values per bin is lower. Additionally there also seem to be a dip at phase $1.5 \pi$.
 
 \begin{figure}[pt!]
     \includegraphics[width=\linewidth]{plots/sine/M/M-Flarecount-10_Bins.png}
-    \caption{Histogram of all M dwarfs with 10 bins across the phase showing the number of flares in each bin. The error bar shows the standard deviation for the histogram. The blue line indicates an idialized phase, with the minimum at phase $1 \pi$.}
+    \caption{Histogram showing the amount of flares per phase for all 144 M dwarfs used in this study. The x-axis represents the normalized phase of the folded lightcurves. There are 10 bins of the phase, showing the number of flares per bin. The error bar shows the standard deviation for the histogram. The blue line indicates an idialized phase (sine curve), with the maximum at phase $0 \pi$/$2 \pi$ and the minimum at phase $1 \pi$.}
     \label{fig:M-Flarecount-10_Bins}
 \end{figure}
 
 \begin{figure}[pt!]
     \includegraphics[width=\linewidth]{plots/sine/M/M-Flarecount-30_Bins.png}
-    \caption{Histogram of all M dwarfs with 30 bins across the phase showing the number of flares in each bin. The error bar shows the standard deviation for the histogram. The blue line indicates an idialized phase, with the minimum at phase $1 \pi$.}
+    \caption{Histogram showing the amount of flares per phase for all 144 M dwarfs used in this study. The x-axis represents the normalized phase of the folded lightcurves. There are 30 bins of the phase, showing the number of flares per bin. The error bar shows the standard deviation for the histogram. The blue line indicates an idialized phase (sine curve), with the maximum at phase $0 \pi$/$2 \pi$ and the minimum at phase $1 \pi$.}
     \label{fig:M-Flarecount-30_Bins}
 \end{figure}
 
@@ -26,25 +28,25 @@ Filtering the data by the minimal flare peak (see figures \ref{fig:M-Flarecount-
 
 \begin{figure}[pt!]
     \includegraphics[width=\linewidth]{plots/sine/M/M_minFlarePeak_1.25-Flarecount-10_Bins.png}
-    \caption{Histogram of all M dwarfs with 10 bins across the phase showing the number of flares with normalized peak above 1.25 in each bin. The error bar shows the standard deviation for the histogram. The blue line indicates an idialized phase, with the minimum at phase $1 \pi$.}
+    \caption{Histogram showing the amount of flares with a normalized peak of greater than 1.25 per phase for all 144 M dwarfs used in this study. The x-axis represents the normalized phase of the folded lightcurves. There are 10 bins of the phase, showing the number of flares per bin. The error bar shows the standard deviation for the histogram. The blue line indicates an idialized phase (sine curve), with the maximum at phase $0 \pi$/$2 \pi$ and the minimum at phase $1 \pi$.}
     \label{fig:M-Flarecount-10_Bins_1.25_peak}
 \end{figure}
 
 \begin{figure}[pt!]
     \includegraphics[width=\linewidth]{plots/sine/M/M_minFlarePeak_1.25-Flarecount-30_Bins.png}
-    \caption{Histogram of all M dwarfs with 30 bins across the phase showing the number of flares with normalized peak above 1.25 in each bin. The error bar shows the standard deviation for the histogram. The blue line indicates an idialized phase, with the minimum at phase $1 \pi$.}
+    \caption{Histogram showing the amount of flares with a normalized peak of greater than 1.25 per phase for all 144 M dwarfs used in this study. The x-axis represents the normalized phase of the folded lightcurves. There are 30 bins of the phase, showing the number of flares per bin. The error bar shows the standard deviation for the histogram. The blue line indicates an idialized phase (sine curve), with the maximum at phase $0 \pi$/$2 \pi$ and the minimum at phase $1 \pi$.}
     \label{fig:M-Flarecount-30_Bins_1.25_peak}
 \end{figure}
 
 \begin{figure}[pt!]
     \includegraphics[width=\linewidth]{plots/sine/M/M_minFlarePeak_1.5-Flarecount-10_Bins.png}
-    \caption{Histogram of all M dwarfs with 10 bins across the phase showing the number of flares with normalized peak above 1.5 in each bin. The error bar shows the standard deviation for the histogram. The blue line indicates an idialized phase, with the minimum at phase $1 \pi$.}
+    \caption{Histogram showing the amount of flares with a normalized peak of greater than 1.5 per phase for all 144 M dwarfs used in this study. The x-axis represents the normalized phase of the folded lightcurves. There are 10 bins of the phase, showing the number of flares per bin. The error bar shows the standard deviation for the histogram. The blue line indicates an idialized phase (sine curve), with the maximum at phase $0 \pi$/$2 \pi$ and the minimum at phase $1 \pi$.}
     \label{fig:M-Flarecount-10_Bins_1.5_peak}
 \end{figure}
 
 \begin{figure}[pt!]
     \includegraphics[width=\linewidth]{plots/sine/M/M_minFlarePeak_1.5-Flarecount-30_Bins.png}
-    \caption{Histogram of all M dwarfs with 30 bins across the phase showing the number of flares with normalized peak above 1.5 in each bin. The error bar shows the standard deviation for the histogram. The blue line indicates an idialized phase, with the minimum at phase $1 \pi$.}
+    \caption{Histogram showing the amount of flares with a normalized peak of greater than 1.5 per phase for all 144 M dwarfs used in this study. The x-axis represents the normalized phase of the folded lightcurves. There are 30 bins of the phase, showing the number of flares per bin. The error bar shows the standard deviation for the histogram. The blue line indicates an idialized phase (sine curve), with the maximum at phase $0 \pi$/$2 \pi$ and the minimum at phase $1 \pi$.}
     \label{fig:M-Flarecount-30_Bins_1.5_peak}
 \end{figure}
 
@@ -57,13 +59,13 @@ Looking at the same dataset with 30 bins for the histogram (figure \ref{fig:K-Fl
 
 \begin{figure}[pt!]
     \includegraphics[width=\linewidth]{plots/sine/K/K-Flarecount-10_Bins.png}
-    \caption{Histogram of all K dwarfs with 10 bins across the phase showing the number of flares in each bin. The error bar shows the standard deviation for the histogram. The blue line indicates an idialized phase, with the minimum at phase $1 \pi$.}
+    \caption{Histogram showing the amount of flares per phase for all 37 K dwarfs used in this study. The x-axis represents the normalized phase of the folded lightcurves. There are 10 bins of the phase, showing the number of flares per bin. The error bar shows the standard deviation for the histogram. The blue line indicates an idialized phase (sine curve), with the maximum at phase $0 \pi$/$2 \pi$ and the minimum at phase $1 \pi$.}
     \label{fig:K-Flarecount-10_Bins}
 \end{figure}
 
 \begin{figure}[pt!]
     \includegraphics[width=\linewidth]{plots/sine/K/K-Flarecount-30_Bins.png}
-    \caption{Histogram of all K dwarfs with 30 bins across the phase showing the number of flares in each bin. The error bar shows the standard deviation for the histogram. The blue line indicates an idialized phase, with the minimum at phase $1 \pi$.}
+    \caption{Histogram showing the amount of flares per phase for all 37 K dwarfs used in this study. The x-axis represents the normalized phase of the folded lightcurves. There are 30 bins of the phase, showing the number of flares per bin. The error bar shows the standard deviation for the histogram. The blue line indicates an idialized phase (sine curve), with the maximum at phase $0 \pi$/$2 \pi$ and the minimum at phase $1 \pi$.}
     \label{fig:K-Flarecount-30_Bins}
 \end{figure}
 
@@ -76,13 +78,13 @@ Due to the lower number of detected flares on G type stars, the error bars in fi
 
 \begin{figure}[pt!]
     \includegraphics[width=\linewidth]{plots/sine/G/G-Flarecount-10_Bins.png}
-    \caption{Histogram of all G dwarfs with 10 bins across the phase showing the number of flares in each bin. The error bar shows the standard deviation for the histogram. The blue line indicates an idialized phase, with the minimum at phase $1 \pi$.}
+    \caption{Histogram showing the amount of flares per phase for all 71 G dwarfs used in this study. The x-axis represents the normalized phase of the folded lightcurves. There are 10 bins of the phase, showing the number of flares per bin. The error bar shows the standard deviation for the histogram. The blue line indicates an idialized phase (sine curve), with the maximum at phase $0 \pi$/$2 \pi$ and the minimum at phase $1 \pi$.}
     \label{fig:G-Flarecount-10_Bins}
 \end{figure}
 
 \begin{figure}[pt!]
     \includegraphics[width=\linewidth]{plots/sine/G/G-Flarecount-30_Bins.png}
-    \caption{Histogram of all G dwarfs with 30 bins across the phase showing the number of flares in each bin. The error bar shows the standard deviation for the histogram. The blue line indicates an idialized phase, with the minimum at phase $1 \pi$.}
+    \caption{Histogram showing the amount of flares per phase for all 71 G dwarfs used in this study. The x-axis represents the normalized phase of the folded lightcurves. There are 30 bins of the phase, showing the number of flares per bin. The error bar shows the standard deviation for the histogram. The blue line indicates an idialized phase (sine curve), with the maximum at phase $0 \pi$/$2 \pi$ and the minimum at phase $1 \pi$.}
     \label{fig:G-Flarecount-30_Bins}
 \end{figure}
 
@@ -94,13 +96,13 @@ Due to the low number of F type stars in this study, and the difficulty to detec
 
 \begin{figure}[pt!]
     \includegraphics[width=\linewidth]{plots/sine/F/F-Flarecount-10_Bins.png}
-    \caption{Histogram of all F dwarfs with 10 bins across the phase showing the number of flares in each bin. The error bar shows the standard deviation for the histogram. The blue line indicates an idialized phase, with the minimum at phase $1 \pi$.}
+    \caption{Histogram showing the amount of flares per phase for all 13 F dwarfs used in this study. The x-axis represents the normalized phase of the folded lightcurves. There are 10 bins of the phase, showing the number of flares per bin. The error bar shows the standard deviation for the histogram. The blue line indicates an idialized phase (sine curve), with the maximum at phase $0 \pi$/$2 \pi$ and the minimum at phase $1 \pi$.}
     \label{fig:F-Flarecount-10_Bins}
 \end{figure}
 
 \begin{figure}[pt!]
     \includegraphics[width=\linewidth]{plots/sine/F/F-Flarecount-30_Bins.png}
-    \caption{Histogram of all F dwarfs with 30 bins across the phase showing the number of flares in each bin. The error bar shows the standard deviation for the histogram. The blue line indicates an idialized phase, with the minimum at phase $1 \pi$.}
+    \caption{Histogram showing the amount of flares per phase for all 13 F dwarfs used in this study. The x-axis represents the normalized phase of the folded lightcurves. There are 10 bins of the phase, showing the number of flares per bin. The error bar shows the standard deviation for the histogram. The blue line indicates an idialized phase (sine curve), with the maximum at phase $0 \pi$/$2 \pi$ and the minimum at phase $1 \pi$.}
     \label{fig:F-Flarecount-30_Bins}
 \end{figure}
 
@@ -112,13 +114,13 @@ Looking at the same data with 30 bins over the phase in figure \ref{fig:MKGF-Fla
 
 \begin{figure}[pt!]
     \includegraphics[width=\linewidth]{plots/sine/MKGF-Flarecount-10_Bins.png}
-    \caption{Histogram of all dwarfs (spectral types M, K, G and F) with 10 bins across the phase showing the number of flares in each bin. The error bar shows the standard deviation for the histogram. The blue line indicates an idialized phase, with the minimum at phase $1 \pi$.}
+    \caption{Histogram showing the amount of flares per phase for all 265 dwarfs used in this study. The x-axis represents the normalized phase of the folded lightcurves. There are 10 bins of the phase, showing the number of flares per bin. The colors show the individual amount for each spectral type with the amount being stacked ontop of each other. The error bar shows the standard deviation for the histogram. The blue line indicates an idialized phase (sine curve), with the maximum at phase $0 \pi$/$2 \pi$ and the minimum at phase $1 \pi$.}
     \label{fig:MKGF-Flarecount-10_Bins}
 \end{figure}
 
 \begin{figure}[pt!]
     \includegraphics[width=\linewidth]{plots/sine/MKGF-Flarecount-30_Bins.png}
-    \caption{Histogram of all dwarfs (spectral types M, K, G and F) with 30 bins across the phase showing the number of flares in each bin. The error bar shows the standard deviation for the histogram. The blue line indicates an idialized phase, with the minimum at phase $1 \pi$.}
+    \caption{Histogram showing the amount of flares per phase for all 265 dwarfs used in this study. The x-axis represents the normalized phase of the folded lightcurves. There are 30 bins of the phase, showing the number of flares per bin. The colors show the individual amount for each spectral type with the amount being stacked ontop of each other. The error bar shows the standard deviation for the histogram. The blue line indicates an idialized phase (sine curve), with the maximum at phase $0 \pi$/$2 \pi$ and the minimum at phase $1 \pi$.}
     \label{fig:MKGF-Flarecount-30_Bins}
 \end{figure}