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Comment by pfdietz
This also means very long lived extraterrestrial civilizations can colonize the galaxy with slow very short range starships. Just wait for stars to come within a fraction of a light year and send over ships at 1% of the speed of light (or even slower). The star will move away, and it also becomes a target for close approaches of stars. The number of colonized stars grows exponentially (if gradually) until most stars have been colonized.