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Essentially, you want the flux of gravitons passing any particular unit area of your sphere. The equation for that I wrote in my last reply. However, what you will have to do here is knowing what the flux is, it will have to be multiplied by the varying wavelengths (hence energies) of all the gravitons passing through that unit area, because not all gravitons will have the same energies or wavelengths.
Big problem here....we don't know what the wavelengths for a graviton will be (except as a theoretical exercise) because we've never seen them in real life. We assume they may exist based on the outcomes of the Standard Model of Particle Physics and on QM models.
Then you have to explain why gravitons "push". You have to come up with the observational evidence and theoretical modeling which will support this contention and refute what is already known.
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