Are there literal attractors in nature?

Are there literal attractors in nature? Take Apollo 11 as an example. The astronauts went from 1 to 2 upon launch. Then 2 to 3 with an additional burn. From 3, 2 of them went to 4 then back to 3. They went from 3 back to 1 and skipped 2. 1 through 4 can be thought of as different stable regimes and the astronauts move from one to the other. Synchronization can be thought of as a lot of things doing the same thing at the same time. That is a good description of the Saturn V launch vehicle. Its weight include massive amounts of fuel which all does the same thing, it combusts over a short amount of time. Synchronization has been suggested to occur with some regime swaps.

apollo“The theory suggests that the system is pushed past a threshold at which stage the components start to interact…  …– as tremendous energies cascade through powerful subsystems.”- Robert Ellison

Earth’s mass provides one attractor with two regimes. Surface and Orbital. Theoretical attractors may also work this way. 2 above might be called higher energy than 1. On Apollo’s trip to the Moon it obtained even higher energy is it transitioned to the next regime. I assume they braked as they got close to the Moon which may be another form of synchonization just as air braking using the Earth’s atmospher may be. The astronauts moved to another attractor called the Moon and later returned. How does all this scale down? Gravity of smaller objects might be too small to see anything like we see with the Solar System. However when we wonder about molecules, that can swap electrons, we might compare it to this diagram.

“The theory suggests that the system is pushed past a threshold at which stage the components start to interact…”

 

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