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Tonka, I follow your argument most of the way but I'm struggling with the following: Your explanation makes it sound like the gravitons beaming towards the Earth in space can have a holding effect on their own with no body to pull against. In other words right up to the point that the last graviton arrives at the Earth the Earth would be held by those gravitons. But how can this be? Do the two bodies held together by gravity not rely on each other for stability. More akin to a rope holding two bodies together. Cut the rope holding the Sun and earth together and the effect would be instant. One part of the rope would fly off with one of the bodies and the other with the other. The rope could not hold either in place on it's own.
Think of the rope being shaken to produce a wave that travels along it, now make that rope very very long stop shaking the end suddenly. It'll take a while for the pre-existing waves already on the rope to cease and the rope to become still. That's a reasonable analogy