Can a star change color periodically by high orbital speed?
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I'm imagining a situation that we can see a star change color periodically:
A star and Earth orbit around a black hole
The star is very near to the black hole so that it has high orbital speed, while the Earth orbits the black hole at far away
As the star has a high orbital speed, when the tangential direction points towards the planet, it causes blue shift and appear as a blue sun, and when it moves away from the planet, it looks like a red sun due to red shift.
Is such a system possible?
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