I'm currently reading this book, I'm about a third of the way through my first reading. I'm having difficulty wrapping my brain around his theory of orbits. I welcome anyone that can offer a better explanation. Despite my best efforts, I keep coming up with a different answer to his equation. His theory sortof works if you are only dealing with 2 objects, orbiting each other. Once you throw in a third and have a point of reference, it doesn't work anymore. At least not for me. His answer seems to be dissociating the frames, which doesn't follow logic for me. It also sooms to violate the law of inertia, which he seems to toss aside as an invalid law - he seems to be saying that objects can follow a curved path naturally. What? This brings additional trouble, because if you're going to challenge one law, you have to challenge them all. He seems to be picking and choosing the laws that will work with his theory.
Like I said though, still reading, but it seems I've completed this particular section and it just isn't working for me...
You have a right to be confused. Your model of how orbits work, right or wrong, has been internalized and you are experiencing the beauty of the human mind at work doing what it's supposed to be doing; letting you know something is not quite right.
It took me over a year to understand how expansion could actually work for orbits. If you persist, you'll see it.
My 'awakening' happened when I reread that part of his book for the 3rd time and literally took-my-time. I went slow, in other words. I also refused to allow any other thought to intrude on my focus and I think that was the key.
Start by referencing your model of attraction as the 'force' behind orbits. And simplify it. Two spheres on a collision course are in orbit, it's just not going to be sustained very long. Be an observer on one of those spheres. You see the other body approaching. Describe what you see. How do you know it's approaching? When you say, "well, it's getting bigger." Then you've got it because, that's what he (McCutcheon) says is going on. Tangential motion becomes a requirement to compensate for the expansion. Where there isn't enough tangential motion, the objects will collide. In my mind, the expansion behaves exactly like an attractive force would behave. On the one hand (McC's) you have a changing reference, on the other (Standard theory) you have a fixed frame. Fixed is definitely easier to see, but that doesn't mean it's correct.
The problem that most classically educated people have with this whole theory is that there are so many internal models that have to defend themselves from attack. The more powerful the mind, the louder the voices of defence become and the easier it is to dismiss the idea.
The trick is to take each issue one by one and see if the possibility exists that an explanation through expansion might just work.
It helps if you believe that we are perception machines and that we don't create reality through our perceptions. All we do is deal with what we see. And, it also helps if you are brave enough to admit that what we see is just an interpretation of what is really there. It's an interpretation that works, to be sure, but that all things could be expanding as we speak is a terrifying thought to get past and I believe it to be the driving force behind most of the violent attacks McCutcheon has had to endure.
In short, his theory requires you to be fearless.