That’s pretty close when your neighbor just exploded and there’s almost exactly zero air resistance to prevent debris from reaching you.
If you have a 25 m^2 cross section in the direction of the explosion, at that distance you have a roughly 1 in 246 billion chance of any given bit of debris hitting you.
When calculating risk, you have to take into account how many are there and what is the chance that any will be hit. Then you have to calculate what's the chance this will happen again, etc - and only then you can calculate the risk to your own satellite.
It's true that the chance of getting hit by one broken satellite is small. But that assumes there are exactly 2 things on the orbit.
[0] https://en.m.wikipedia.org/wiki/Kessler_syndrome [1] https://en.m.wikipedia.org/wiki/Neutron_flux
Source?
$ units
You have: 25m2 / 2tau(700km)^2
You want: /billion
* 0.0040600751
/ 246.30086But some debris (in particular slower pieces) will probably oscillate around the geostationary orbit giving it countless chances of hitting other satellites.
Has someone modelled this for example in Kerbal space program?
Almost all of the debris will have orbits which intersect their orbit of origin.
It almost certainly won’t hit you directly, but that stuff is in orbit with you now, and it is uncontrolled.