Gravitation independnet of motion/momentum?

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If you want to avoid action at a distance, but still want momentum conservation, the you have treat the field as an object that carries momentum. But the force is still independent of the motion.
 
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OK, so assigning the reaction forces to the field momentum... then at the two objects' locations there are two forces, the gravitational force applied by the field to the object, and the object's inertial resistance to acceleration applied back to the field.

So that disposes of bare "action at a distance", but it does that by putting in its place "maintenance of a field at a distance"...

So the field is being "pushed" by the object's reaction, and the field is being pushed oppositely and equally by the other object's reaction, and since the field is a sum of the two objects' fields, the net is balanced... the 3rd law.

Is that it?