Your forget that the sun isnt stationary. Our whole solar system would slowly move away from anything truly stationary while we continue our orbit of the milky way. It would take a good while but after a few years neptune would be pretty far from the sun. If it got stopped while in the path of the sun tho, it might just get run over by the sun and we would all die.
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You forget there is no absolute inertial system and what you describe is completely arbitrary and makes no sense.
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The whole concept of a celestial body just stopping somewhere without exploding into dust is also arbitrary and makes no sense.
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