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Generally speaking, the apparent luminosity would be an inverse square relationship, which is to say, if the same star was at twice the distance, a quarter of the light would be reaching the observer. But absolute luminosity can of course vary without regard to distance from Earth - dim stars can be close, or bright stars distant, or vice-versa.

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Q: Relationship between stars distance to earth and luminosity?
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Related questions

What is the relationship between the distance on a map and the actual distance on the earth tal what is the relationship between the distance on a map and the actual distance on the earth callied?

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