Began incorporating Tom Marsh's suggestions

temporaryWork
youainti 5 years ago
parent 55f8a0b00d
commit 9f65785327

@ -21,12 +21,25 @@
\subfile{sections/00_Introduction} %Currently from past semesters.
%roughly done 2021-07-15
\section{Modeling the Environment}
\subsection{Laws of Motion}\label{SEC:Laws}
%Describe sections
The paper is organized as follows.
\cref{SEC:Environment}, describes the laws of motion
governing satellites and debris(\ref{SEC:Laws}),
%discusses the laws of motion that govern satellite constellations and debris.
places limits on various measures of risk (\ref{SEC:Survival}),
%uses the laws of motion to put upper bounds on average, fleetwide marginal survival rates.
and reviews various definitions of kessler syndrome in
the context of dynamic modeling, their advantages, and their disadvanteges (\ref{SEC:Kessler}).
In \cref{SEC:Models} the dynamic problem faced by constellation operators and
social planners is first described.
Finally \cref{SEC:Computation} describes the computational approach and results.
\section{Modeling the Environment}\label{SEC:Environment}
\subsection{Laws of motion}\label{SEC:Laws}
\subfile{sections/01_LawsOfMotion} %Roughly done 2021-07-15
\subsubsection{Survival Analysis}\label{SEC:Survival}
\subsection{Marginal survival rates}\label{SEC:Survival}
\subfile{sections/03_SurvivalAnalysis} %roughly done 2021-07-14
\subsection{Kessler Syndrome}\label{SEC:Kessler}
@ -36,7 +49,7 @@
\section{Model}
\section{Model}\label{SEC:Models}
\subsection{Constellation Operator's Program}\label{SEC:Operator}
\subfile{sections/04_ConstellationOperator} %TODO
@ -46,12 +59,6 @@
\section{Computation}\label{SEC: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.
\newpage
\section{References}
@ -67,12 +74,22 @@ Needs completed.
\subfile{sections/apx_02_GeneralizedEuEqSteps}
\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.
\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).
% - 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).
%
%
%

@ -127,13 +127,15 @@ examine the necessary Inada conditions.
\subsection{Computational Results}
Cases to consider
\begin{itemize}
\item Reproduce Rao Rondina model
\item Reproduce Rao-Rondina single satellite model.
\item Reproduce Adilov, perfect competition, cornot-like market.
\item Add military operators to Adilov's model.
This will involve some sort of complementarities.
This will involve some sort of competitive complementarity
with diminishing marginal returns.
\item Competitive market where the number of satellites improves quality, i.e. allows
for pricing differences (Orbital Internet and comms).
\item Interacting orbital shells, using a vector of debris.
for pricing differences (Orbital Internet, e.g. Starlink).
\item Interacting orbital shells, using a vector representation of heterogeneous risk
imposed by constellations and debris.
\end{itemize}
\end{document}

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