Consider that the delta V from Mars to Earth is 15 km/s, and we use gravity boost to make that delta V.
Assume we invented engines that could manage that delta V in half an hour. If my math is right, if you wanted enough 'fire departments' to reach every asteroid within one hour, you'd need about 67,000 of them, and you'd have to figure out how to pull that delta V without running into any other asteroids (probably out of the ecliptic?)
The good news is your paramedics would only pull about .8Gs which, while perfectly comfortable for earthers would still be tolerable for belters. My point is that if you try to decrease the number of stations to, say, 100, you're going to turn any human occupants into a fine mist in the process.
Did you look at any of my math at all? 1/67000 is a pretty tiny fraction alright.
Ok, here’s some more math. The average distance between asteroids in the belt is apparently over twice as far as the moon. The moon is still very far away for us. There will be no rescues for a very long time and remember that humans die at 10Gs, so when I say very long time I’m not just talking about faster rockets. I’m talking about basic research in human physiology.
More NASA videos and The Expanse for you, less Star Trek.
This is not exactly true. Arguably, it's half false. In any case, this is more nuanced than what you state. There may be some humans who die at 10G. Prolonged exposure to high G might increase the death toll. People could be maintained at 10G unconscious, if they are in the right position, on the right kind of couch.
I was about to argue with you and then realized I misspoke. Humans begin to die at 10Gs, as in survivability starts to drop at that point and if the point is to get the humans there and back again, that’s not very good.
Regardless, if people can survive 20Gs that still only doubles your range. And since we are discussing a category error of orders of magnitude, my point still stands.
Assume we invented engines that could manage that delta V in half an hour. If my math is right, if you wanted enough 'fire departments' to reach every asteroid within one hour, you'd need about 67,000 of them, and you'd have to figure out how to pull that delta V without running into any other asteroids (probably out of the ecliptic?)
The good news is your paramedics would only pull about .8Gs which, while perfectly comfortable for earthers would still be tolerable for belters. My point is that if you try to decrease the number of stations to, say, 100, you're going to turn any human occupants into a fine mist in the process.