You cannot select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
116 lines
3.9 KiB
TeX
116 lines
3.9 KiB
TeX
\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
|
|
|
|
%Describe sections
|
|
The paper is organized as follows.
|
|
Section \ref{SEC:Models}, describes the laws of motion
|
|
governing satellites and debris(\ref{SEC:Laws})%,
|
|
%places limits on various measures of risk (\ref{SEC:Survival}),
|
|
and reviews various definitions of kessler syndrome in
|
|
the context of dynamic modeling, their advantages, and their disadvanteges (\ref{SEC:Kessler}).
|
|
It then describes the dynamic problem faced by constellation operators
|
|
(\ref{SEC:Operator}) and social planners (\ref{SEC:Planner}).
|
|
Section \ref{SEC:Computation} describes the computational approach and the
|
|
results are reported in \cref{SEC:Results}.
|
|
Section \ref{SEC:Conclusion} concludes with a discussion of limitations, concerns,
|
|
and remaining policy questions.
|
|
|
|
%\section{Modeling the Environment}\label{SEC:Environment}
|
|
\section{Model}\label{SEC:Models}
|
|
\subsection{Laws of motion}\label{SEC:Laws}
|
|
\subfile{sections/01_LawsOfMotion} %Roughly done 2021-07-15
|
|
|
|
%\subsection{Marginal survival rates}\label{SEC:Survival}
|
|
%\subfile{sections/03_SurvivalAnalysis} %roughly done 2021-07-14
|
|
% Thoughts on removal: This doesn't add much to the actual questions.
|
|
% It is interesting, but in a paper is just too much.
|
|
% I'll keep it here to add it back easily.
|
|
|
|
\subsection{Kessler Syndrome}\label{SEC:Kessler}
|
|
% Kessler syndrome follows laws of motion because it is the main
|
|
% threat of orbital pollution and needs to be included.
|
|
% Also, there is not really a better place to place it.
|
|
\subfile{sections/02_KesslerSyndrome} %roughly done before 2021-07-14
|
|
\subfile{sections/06_KesslerRegion} %roughly done before 2021-07-14
|
|
|
|
% \subsection{Constellation Operator's Program}\label{SEC:Operator}
|
|
% \subfile{sections/04_ConstellationOperator} %Reasonably done.
|
|
%
|
|
% \subsection{Social Planner's Program}\label{SEC:Planner}
|
|
% \subfile{sections/05_SocialPlanner} %Reasonably done?
|
|
%
|
|
% \section{Computation}\label{SEC:Computation}
|
|
% \subfile{sections/07_ComputationalApproach} %needs some clarifications.
|
|
|
|
\section{Results}\label{SEC:Results}
|
|
\subfile{sections/09_Results} %TODO
|
|
|
|
\section{Conclusion}\label{SEC:Conclusion}
|
|
\subfile{sections/08_Conclusion} %TODO
|
|
|
|
|
|
\newpage
|
|
\section{References}
|
|
\printbibliography
|
|
\newpage
|
|
%TODO: write appendicies
|
|
%\section{Appedicies}
|
|
%\subsection{Mathematical Notation}
|
|
%Needs completed.
|
|
%\subsection{Deriving Marginal Survival Rates}\label{APX:Derivations:SurvivalRates}
|
|
%\subfile{sections/apx_01_MarginalSurvivalRates}
|
|
|
|
|
|
%\subsection{Collected Assumptions and Caveats}\label{APX:CollectedAssumptions}
|
|
%I hope to write a section clearly explaining assumptions, caveats, and shortcomings here.
|
|
%These will later get written back into the other sections, but I want to collect them
|
|
%in a single place first.
|
|
%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.
|
|
|
|
\newpage
|
|
%Just for simplicity, remove later
|
|
\tableofcontents
|
|
\end{document}
|
|
|
|
%%% Notes to keep track of
|
|
% Possible other things to investigate
|
|
% - Free-entry conditions: which of the following?
|
|
% - When for every operator, the current stocks imply no more launches(x = 0).
|
|
% - When for every type of operator, the current stocks plus an own stock of 0 imply no more launches(x = 0).
|
|
%
|
|
%
|
|
%
|
|
%
|
|
%
|
|
%
|
|
%
|
|
%
|
|
%
|
|
%
|
|
%
|
|
%
|
|
%
|