Some work has been done and published on residence time in orbit.
Small fragments low down - even at perigee - fall out quite quickly.
https://orbitaldebris.jsc.nasa.gov/faq/
I'm not a mathematician, but it is probably a time between collision problem rather than an amount.
Neal Stephenson's recent #SF novel #SevenEves as well as being well-worth reading does discuss the progression of a slow cascade from a single very large starting point in a larger volume.
@hollie @SeaFury On a slightly related note, I'm hoping someone will make Neal Stephenson's #Seveneves into a movie... Maybe minus the last part (save that for a sequel everyone will hate).
It could make for a nice claustrophobic survival drama, plus it's got a US president as a villain, so it would be pretty contemporary. 🤷
"Asteroid könnte 2032 statt der Erde auch den Mond treffen"
Für Menschen die #SevenEves (Neal Stephenson) gelesen haben ist das jetzt nicht die größte Beruhigung.
https://www.derstandard.at/story/3000000257722/asteroid-2024-yr4-koennte-2032-statt-der-erde-auch-den-mond-treffen?ref=mastodon
@urlyman I read this line: "The effects of climate change are threatening our efforts to *deal* with climate change.” and it got me a bit worried. I am thinking of a point in #SevenEves where someone did some math and understood a serious problem:
https://nealstephenson.com/news/2015/04/13/seveneves-excerpt/