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Robbitybob1, since the increased speed of the closer orbits implies increased translational energy content overall of the respective bodies involved, then the increased energy content will increase gravitational effect between them at each successively smaller orbit, won't it? So any gravitational energy radiated away in order to reduce orbital altitude would result in energy gained by the overall system. Would this balance out? Is any gravitational energy radiated away, or is it only transformed into the additional speed/energy in closer orbits such that no net gravitational energy is lost from the system to remote locations across space? Sorry, that's all the time I have to speculate/comment on your topic/exploration on this.
Cheers!