Is time dilation additive or subtractive in overlapping gravitational fields?

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Online jeffreyH

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If we have two large masses near to each other and a smaller mass between them would the effect of time dilation increase, decrease or stay the same in the two overlapping fields as opposed to being in a zero gravity field?
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Offline Pmb

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Quote from: jeffreyH
If we have two large masses near to each other and a smaller mass between them would the effect of time dilation increase, decrease or stay the same in the two overlapping fields as opposed to being in a zero gravity field?
I can't picture this so let me describe what I have in mind. At x = L there is a massive star and at x = -L there is an identical star. At x = 0 there's a small moon. Then the effects would add but not linearly. But I don't see what roll the third small body brings to this question so why mention it at all?

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Online jeffreyH

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Quote from: jeffreyH
If we have two large masses near to each other and a smaller mass between them would the effect of time dilation increase, decrease or stay the same in the two overlapping fields as opposed to being in a zero gravity field?
I can't picture this so let me describe what I have in mind. At x = L there is a massive star and at x = -L there is an identical star. At x = 0 there's a small moon. Then the effects would add but not linearly. But I don't see what roll the third small body brings to this question so why mention it at all?

Hi Pete

The small body would have its own gravitation and I was wanting to know the combined effect from the other sources of gravitation on it. I am investigating the possible effects on momentum and rotation of orbiting bodies of time dilation. I am also looking for any articles on the effects of time dilation at the quantum level.
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Online jeffreyH

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The following proposed experiment is of significant interest.

http://fqxi.org/community/articles/display/172
Fixation on the Einstein papers is a good definition of OCD.