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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{Current Literature} % Lit Review

\section{Modeling the Environment}
\subsection{Laws of Motion}
\subfile{sections/01_LawsOfMotion} %Needs headings fixed

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

\subsection{Kessler Syndrome}\label{SEC:Kessler}
\subfile{sections/02_KesslerSyndrome}
\subfile{sections/06_KesslerRegion} 
%TODO:
% So these sections need combined and rewritten
% In particular, I want to describe the differences present in 
% the proto-kessler region.
% 
% 
% 
% 
% 
% 
% 




\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{Deriving Marginal Survival Rates}\label{APX:Derivations:SurvivalRates}
%\subfile{sections/apx_01_MarginalSurvivalRates} 

\subsection{Deriving Euler Equations}\label{APX:Derivations:EulerEquations}
\subfile{sections/apx_02_GeneralizedEuEqSteps} 


\end{document}