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I would ask you to do it the easy way, and turn around.
From the star’s point of view, it’s staying put (radialy). From our point of view we can say that it went around that fast as long as it has nothing to do with us. Relative movement means that there is no absolute space. Although there is the rule that nothing will accelerate faster than the speed of light, one object turning around may, by definition, cause a distant object to be said to have gone around it. The idea is that it means the same thing. The motion won’t be initiated by the distant object, but the effect and the meaning is the same.
You have to be Mechaleck between the Pe’ula and the Chalois.