-body problem is unsolvable because of those gravitational interactive forces. Newton said in his Principia, paragraph 21:

Newton concluded via his third law of motion that "according to this Law all bodies must attract each other." This last statement, which implies the existence of gravitational interactive forces, is key.

As shown below, the problem also conforms to Jean Le Rond D'Alembert's non-Newtonian first and second Principles

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