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Q: What does the ISS have different that it shields astronauts from cosmic radiation but a rocket to Mars have problems with that?

PabloAccording to this, Station Record holders NASA astronaut Frank Rubio completed a single mission aboard the International Space Station of 371 days on Sept. 27, 2023. Rubio surpasses NASA astronaut Mark Vande Hei who ended his mission after 355 days on March 30, 2022 And according to this, Mars ...

It's like driving your car: Always wear your belt. In case of the ISS, it's a van-Allen-belt. Or, in more serious words: The magnetic field of the Earth.
in short, where it is.
The only humans so far who have gone beyond the Van Allen belt are the Apollo astronauts who went to the Moon, but they were only outside the Van Allen belt for about a week. There is also some concern about passing through the Van Allen belts themselves, however that happens relatively quickly so there is not as much concern about it. During last year's Polaris Dawn mission the Dragon capsule dipped in and out of the Van Allen belt several times at an altitude of 1,400 km (870 miles) which is the first time since Apollo that astronauts were in the Van Allen belt.
Location, location, location.
Like being on the surface of the Earth, you can still be above or below water - subtle differences matter.
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And note that nobody has ever gone through the heart of one of the Van Allen belts, only the edges.