There was a documentary on National Geographic recently describing the what-if scenario of a global catastrophe approaching Earth that we couldn't get rid of (in this case a Neutron Star) and the possible scenarios that could be done to keep Humanity alive.
They used an old technology developed during WW2 where you launched bombs behind the spacecraft that hit a giant shock absorber and pushed the ship forward. The ship would hold 250,000 people and it would take them I believe 80-90 years to reach the next system. The documentary is on youtube and it was an interesting watch.
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