Is there something strange with the gravity during total solar eclipses?

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Tilemachos
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I have found some papers about strange observations in the Earth gravity during total solar eclipses. There is a very small difference (~10^-9) but there is a differnce (see the attachment).
Is there the possibility to be a new gravity phenomenon?

I think that it can be an atmospheric phenomenon, there are a lot of air turbulence during eclipses which maybe can cause these differences...

Your opinions please.
 

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