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3 identical masses m1,m2 ,m3. of r=1

Place 1 and 2 in empty space with a basically circular elliptical path.

An inertial frame M centered at the midpoint between the masses.

M located r=5 from either mass.

m3 is located at rest in M but at a distance sufficient to make gravity negligable.

If we compare clocks at M (r=5) and clock at r=5 relative to m3 what would be the relative dilation factor??

I would assume that the clock at M would not be accelerated in either direction which would seem to infer somewhat flat geometry but would this apply to the periodicity of the clock there?

Thanks

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# GR geometry in a Binary system

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