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Moving people from a dying planet onto the moons of a gas giant

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A class F star (1.4 times the mass of the sun — it has to go supernova) is expanding into the red giant phrase. Its Earth-like planet, with life on it, has slowly been pushed out of orbit as it expands, therefore buying its civilisation extra time. Eventually, Earth's orbit swings quite close to the orbit of a Saturn-like planet, whose orbit has also been expanding, but at a different rate. At this time, there are no other planets between 'Earth' and 'Saturn' (no idea why that would be, or that it would matter).

Earth is at the inner limit of the CHZ, Saturn and its moons are on the outer-limit. Earth is becoming quite inhospitable due to its proximity to the sun and some greenhouse effects, while some of Saturn's moons, which have been colonised for a while now, are becoming quite pleasant.

Tech Level

This civilisation has been moving people from Earth to Saturn's Moons for a few centuries. It's supposed to be our present era/ tech state + 1000 years, although due to resource scarcity and other catastrophes, the level has not increased linearly.

Questions:

  1. Is this within the realms of plausibility, and is there anything that would make it more so?
  2. Given that this civilisation is trying to conserve resources, and assuming that Earth-Saturn travel is limited to a window period when both planets are fairly close to each other, what is the wait time between these periods when travel is possible? (In real Earth years...)
  3. What kind of flight technology would they be using (it has to take at least a month, if not more, for them to get between Saturn and Earth, when the planets are closest)
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This post was sourced from https://worldbuilding.stackexchange.com/q/17471. It is licensed under CC BY-SA 3.0.

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