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A back of the envelope calculation suggests that you need a velocity relative to the CMBR of more than 0.9c. (1mm microwaves blue-shifted to 570nm light typical of yellow dwarves)

This is a problem for several reasons:

- there is no known mechanism to create a planet with that velocity relative to anything

- there is no reasonable mechanism to accelerate a planet to that velocity

- interstellar dust particles, averaging 1 per million cubic meters in the vicinity of Sol, will strike the planet at 0.9c. It's going to be scoured clean in a few decades