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108 lines
3.3 KiB
TeX
108 lines
3.3 KiB
TeX
\documentclass{article}
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%Setup Subfiles
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\usepackage{subfiles}
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%Include preambles
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\input{assets/preambles/MathPreamble}
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%\input{assets/preambles/TikzitPreamble}
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\input{assets/preambles/BibPreamble}
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\input{assets/preambles/GeneralPreamble}
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\title{Summary of my work on Satellite Constellations}
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\author{William King}
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\begin{document}
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\maketitle
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\section{Introduction}
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\subfile{sections/00_Introduction} %Currently from past semesters.
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%roughly done 2021-07-15
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%Describe sections
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The paper is organized as follows.
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\cref{SEC:Environment}, describes the laws of motion
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governing satellites and debris(\ref{SEC:Laws})%,
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%places limits on various measures of risk (\ref{SEC:Survival}),
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and reviews various definitions of kessler syndrome in
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the context of dynamic modeling, their advantages, and their disadvanteges (\ref{SEC:Kessler}).
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In \cref{SEC:Models} the dynamic problem faced by constellation operators and
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social planners is first described.
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Finally \cref{SEC:Computation} describes the computational approach and results.
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\section{Modeling the Environment}\label{SEC:Environment}
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\subsection{Laws of motion}\label{SEC:Laws}
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\subfile{sections/01_LawsOfMotion} %Roughly done 2021-07-15
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%\subsection{Marginal survival rates}\label{SEC:Survival}
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%\subfile{sections/03_SurvivalAnalysis} %roughly done 2021-07-14
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% Thoughts on removal: This doesn't add much to the actual questions.
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% It is interesting, but as a paper is just too much.
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% I'll keep it here to add it back easily.
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\subsection{Kessler Syndrome}\label{SEC:Kessler}
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\subfile{sections/02_KesslerSyndrome} %roughly done before 2021-07-14
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\subfile{sections/06_KesslerRegion} %roughly done before 2021-07-14
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\section{Model}\label{SEC:Models}
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\subsection{Constellation Operator's Program}\label{SEC:Operator}
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\subfile{sections/04_ConstellationOperator} %TODO
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\subsection{Social Planner's Program}\label{SEC:Planner}
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\subfile{sections/05_SocialPlanner} %TODO
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\section{Computation}\label{SEC:Computation}
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\subfile{sections/07_ComputationalApproach} %TODO
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\section{Conclusion}\label{SEC:Conclusion}
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\newpage
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\section{References}
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\printbibliography
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\newpage
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\section{Appedicies}
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\subsection{Mathematical Notation}
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Needs completed.
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%\subsection{Deriving Marginal Survival Rates}\label{APX:Derivations:SurvivalRates}
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%\subfile{sections/apx_01_MarginalSurvivalRates}
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\subsection{Deriving Euler Equations}\label{APX:Derivations:EulerEquations}
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\subfile{sections/apx_02_GeneralizedEuEqSteps}
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\subsection{Collected Assumptions and Caveats}\label{APX:CollectedAssumptions}
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I hope to write a section clearly explaining assumptions, caveats, and shortcomings here.
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These will later get written back into the other sections, but I want to collect them
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in a single place first.
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%time periods are long enough for debris to disperse after collisions.
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%Only a single type of debris
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%With my current computational idea; each constellation provides the same risk to each other constellation
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% That can be easily adjusted in the computational models.
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\end{document}
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%%% Notes to keep track of
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% Possible other things to investigate
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% - Free-entry conditions: which of the following?
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% - When for every operator, the current stocks imply no more launches(x = 0).
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% - When for every type of operator, the current stocks plus an own stock of 0 imply no more launches(x = 0).
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