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.
20 lines
871 B
TeX
20 lines
871 B
TeX
\documentclass[../Main.tex]{subfiles}
|
|
\graphicspath{{\subfix{Assets/img/}}}
|
|
|
|
\begin{document}
|
|
\subsubsection{Defining the Proto-Kessler Region}
|
|
With the definitions of kessler syndrome and the law of debris given above, we can now
|
|
explicitly describe the proto-kessler region.
|
|
\begin{align}
|
|
\epsilon < (g - \delta) D_t
|
|
+ \gamma \sum^n_{j=1} \left( 1-R^i(S_t,D_t) \right) s^i_t
|
|
+ \Gamma \sum^n_{j=1} x^j_t\}
|
|
\end{align}
|
|
As being in the proto-kessler region is a prerequesit to being in the kessler region, we see that
|
|
the kessler region depends on the collision rates of the constellation operators.
|
|
|
|
Although this is a straightforward result, I have not found it in any of the models I've examined so far.
|
|
I suspect it will impact optimal pigouvian taxation, but of course, I need to verify this in
|
|
a computational example.
|
|
\end{document}
|