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\documentclass{article}
%Setup Subfiles
\usepackage{subfiles}
%Include preambles
\input{assets/preambles/MathPreamble}
%\input{assets/preambles/TikzitPreamble}
\input{assets/preambles/BibPreamble}
\input{assets/preambles/GeneralPreamble}
\title{Summary of my work on Satellite Constellations}
\author{William King}
\begin{document}
\maketitle
\section{Introduction}
\subfile{sections/00_Introduction} %Currently from past semesters.
%roughly done 2021-07-15
\section{Modeling the Environment}
\subsection{Laws of Motion}
\subfile{sections/01_LawsOfMotion} %Roughly done 2021-07-15
\subsubsection{Survival Analysis}\label{SEC:Survival}
\subfile{sections/03_SurvivalAnalysis} %roughly done 2021-07-14
\subsection{Kessler Syndrome}\label{SEC:Kessler}
\subfile{sections/02_KesslerSyndrome} %roughly done before 2021-07-14
\subfile{sections/06_KesslerRegion} %roughly done before 2021-07-14
\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}
\subfile{sections/07_ComputationalApproach} %TODO
\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}
%%% Notes to keep track of
% Possible other things to investigate
% - Free-entry conditions: When for every type of operator, a stock of zero
% implies no entry (x = 0).
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