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\title{Summary of my work on Satellite Constellations}
\author{William King}

\begin{document}
\maketitle

\section{Introduction}
\subfile{sections/00_Introduction} %TODO

\section{Laws of Motion}
\subfile{sections/01_LawsOfMotion} %DONE 

\section{Kessler Syndrome}\label{SEC:Kessler}
\subfile{sections/02_KesslerSyndrome}

\section{Motion Results}\label{SEC:MotionResults}
The following are two results due to the laws of motion presented.

\subsection{Kessler Regions}
\subfile{sections/06_KesslerRegion} %TODO

\subsection{Survival Analysis}\label{SEC:Survival}
\subfile{sections/03_SurvivalAnalysis} %TODO

\section{Model}
\subsection{Constellation Operator's Program}\label{SEC:Operator}
\subfile{sections/04_ConstellationOperator} %TODO

\subsection{Social Planner's Program}\label{SEC:Planner}
\subfile{sections/05_SocialPlanner} %TODO

\section{Computation}
No work has been done here so far.

\section{Assumptions and Caveats}
I hope to write a section clearly explaining assumptions, caveats, and shortcomings here.
%time periods are long enough for debris to disperse after collisions.
%Only a single type of debris
%With my current computational idea; each constellation provides the same risk to each other constellation
%   That can be easily adjusted in the computational models.

\section{Appedicies}
\subsection{Mathematical Notation}
Needs completed.
\subsection{Derivations}
\subsubsection{Marginal Survival Rates}\label{APX:Derivations:SurvivalRates}
\subfile{sections/appedicies/apx_01_MarginalSurvivalRates} 


\end{document}
