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