after learning about the magnetic pendulum. the chaotic nature could it show how the each bodys influences of gravity change giving a single iteration. and then redoing the fractal given that the objects moved?
In: Mathematics
We can already solve three body problems iteratively. The “unsolvable” part is finding a closed-form solution that models the system.
A given 3 body problem can be solved, you can smash through it in excel in just a few minutes
Three body problems do not have a *generalized closed form solution*.
Two body problems are repetitive, the Moon completes an orbit around the Earth and then follows the same path again and again. You can come up with an equation that plots position and time and use that to solve for any starting condition
Three body problems are chaotic, they are very sensitive to initial conditions. Take that Earth-Moon system and shoot an asteroid between them, if its in the right spot it’ll go straight through, if its too close to Earth it’ll bank towards Earth, if its too close to the Moon it’ll bank towards the Moon. You can’t come up with a set of equations that tells you where it will go without first knowing the relative position/speeds of all bodies involved.
You can still solve an n-body problem iteratively, its not hard to do but it does require iterating from a given start point and stepping forward/backwards
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