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157 points milgrim | 3 comments | | HN request time: 0s | source
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nordsieck ◴[] No.41904557[source]
It is particularly bad for a satellite in geostationary orbit to break up or fail. Satellites are packed as tightly as possible into that orbit due to its economic importance (it's very useful for a satellite, particularly communications satellites, to always be over the same part of the Earth), so there is a higher than normal likelihood that this could be seriously disruptive.
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perihelions ◴[] No.41904693[source]
- "Satellites are packed as tightly as possible into that orbit due to its economic importance"

Note that that's in the sense of angular separation, as viewed from the ground. They're physically hundreds of kilometers apart.

edit: (Geostationary orbits are ~42,000 km from the Earth center-of-mass; each degree of angle is an arc of ~700 km).

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naikrovek ◴[] No.41905025[source]
> They're physically hundreds of kilometers apart.

That’s pretty close when your neighbor just exploded and there’s almost exactly zero air resistance to prevent debris from reaching you.

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ben_w ◴[] No.41905222[source]
Yes there's no air resistance, but also most of the fragments aren't going your way.

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.

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randmeerkat ◴[] No.41905634[source]
> 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.

Source?

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a1369209993 ◴[] No.41905714[source]

  $ units
  You have: 25m2 / 2tau(700km)^2
  You want: /billion
    * 0.0040600751
    / 246.30086
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randmeerkat ◴[] No.41908217{3}[source]
LLM generated nonsense.
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1. ben_w ◴[] No.41908820{4}[source]
The 'units' command line tool has been part of Unix since Bell Labs, and GNU Units came along in 1997.

Personally I used basic high school geometry knowledge of "what's the area of a sphere", and you could also have just asked WolframAlpha, which also predates LLMs.

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2. randmeerkat ◴[] No.41909736[source]
Yet a formula that actually calculates the probability of impact is nowhere to be found in your response. You don’t consider mass, density, velocity, orbits, or anything else for that matter.
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3. ben_w ◴[] No.41911505[source]
The formula is an excercise for the reader, even if my audience was a 14 year old learning about this for the first time. As is figuring out why "mass" and "density" are unimportant.

Might be a valuable lesson in "reading the question carefully" for them, though, as the scenario was: "That’s pretty close when your neighbor just exploded", which is why orbital mechanics can be disregarded in this instance.