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Jan 6, 2018 at 11:37 comment added Elijah Seed Arita @uhoh I’ll take the blow. I wrote an incomplete answer and the votes reflect that. As long as the edited question gains votes back then I will be okay.
Jan 6, 2018 at 1:08 comment added uhoh Yep! But remember that escape velocity depends on distance. You can't use a value that applies to the surface (or LEO) at other locations. Further, once you get farther, the Sun's gravity comes into play as well. So there will definitely be a place where the cone of expanding exhaust plume will no longer predominantly become part of Earth's atmosphere. It's unfortunate that this answer has collected three down votes, which sting a lot for a new user. You might consider in this particular case to delete it and post a new, separate answer (but don't do this repeatedly).
Jan 5, 2018 at 22:01 history edited Elijah Seed Arita CC BY-SA 3.0
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Jan 5, 2018 at 21:46 comment added Elijah Seed Arita @uhoh I have updated my answer.
Jan 5, 2018 at 21:44 history edited Elijah Seed Arita CC BY-SA 3.0
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Jan 5, 2018 at 14:37 comment added Mark Adler No, a gas molecule is not just like a satellite. Due to the incredibly small mass of a molecule, it's trajectory can be and is dramatically affected by solar radiation. As well as its integrity, often being broken up in to atoms. This is how planets lose their atmospheres.
Jan 5, 2018 at 14:13 comment added uhoh I didn't down vote your answer, but it's really not a helpful answer. I agree that there is not a specific, single altitude, but right now the subject is totally "up in the air", and I think working through the physics may bring out a rough answer. It's probably much higher than 100 km, but lower than 1,000,000 km, and I mentioned a particular class of engine as a guideline specifically to avoid the "it depends on the engine" excuse for leaving a non-answer as an answer. Let's see if we can work the problem as an exercise and try to narrow it down to less than four orders of magnitude.
Jan 5, 2018 at 12:20 history answered Elijah Seed Arita CC BY-SA 3.0