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Three body problems remain: can we ever solve that mystery in mathematics and physics?


"Recent research into the three-body problem has unearthed a fascinating discovery about the gravitational interactions of three massive objects. Traditionally seen as chaotic, these encounters can actually display regular patterns, with one body often expelled from the system. Credit: SciTechDaily.com" (ScitechDaily, Uncovering “Islands” of Regularity in the Chaotic Three-Body Problem)

A new study has challenged the conventional understanding of the three-body problem, revealing that gravitational interactions among three massive objects can produce surprising regularities." (ScitechDaily, Uncovering “Islands” of Regularity in the Chaotic Three-Body Problem)




Sir Isaac Newton introduced the original Three-body problem. The reason why we cannot solve that problem is that. There are too many objects. And effects that affect three bodies in the universe. Things like flares and ions flowing from stars affect lightweight objects. The gravity effect from other planets and moons makes it hard to control the confirmation tests of the Three-body problem. 

"The gravitational problem of three bodies in its traditional sense dates in substance from 1687, when Isaac Newton published his Philosophiæ Naturalis Principia Mathematica, in which Newton attempted to figure out if any long-term stability is possible, especially for such a system like that of our Earth." (Wikipedia, Three-body problem)


"Approximate trajectories of three identical bodies located at the vertices of a scalene triangle and having zero initial velocities. The center of mass, in accordance with the law of conservation of momentum, remains in place." (Wikipedia, Three-body problem)

In some models, the simulations will give some kind of order when researchers make simulations with the three-bodies problems. "When three massive objects meet in space, they influence each other through gravity in ways that typically evolve unpredictably. In a word: chaos. That’s the conventional wisdom. However, a researcher from the University of Copenhagen has uncovered that these encounters often eschew chaos and instead exhibit regular patterns, frequently resulting in one of the objects quickly being expelled from the system. This breakthrough could be crucial for our understanding of gravitational waves and numerous other cosmic phenomena." (ScitechDaily, Uncovering “Islands” of Regularity in the Chaotic Three-Body Problem)



"While a system of 3 bodies interacting gravitationally is chaotic, a system of 3 bodies interacting elastically is not.[clarificatio" (ScitechDaily, Three-body problem)

If researchers can solve the Three-body problem That will be a breakthrough in gravity wave simulations. And understand things that were been mysteries. That helps to create new communication and computing tools. 

The problem is that there is no place in the universe there are only three objects. If there are no three impacting black holes somewhere in the universe that means comparing simulations with reality to confirm the simulation is almost impossible. 




An animation of the figure-8 solution to the three-body problem over a single period T ≃ 6.3259[13]


The three-body problem is one of the mysteries in mathematics and physics. The problem is that the simulations are made for space where there is no other than those three bodies. The thing that made those three body problems hard to solve is that theory differs from reality. In the real world, there are lots of other objects than those three bodies. And if we want to put those bites in order we must compare simulation with reality. 

The problem is that if we want to make a test by throwing those three objects into space, those objects or bodies are too lightweight. And an ion flow from the sun will put those three objects move otherwise than just under the pure gravity effect. The thing is that along with three body problems we have uncontrolled effect problems. We cannot remove things like the atmosphere around the Earth. If we send those three bodies to space, that means those objects are too lightweight. 

If we want to make a test with three bodies in a three-body problem, we face the problem that those three bodies must have a certain mass. The other thing is that they must be far enough, that things like solar wind don't affect them. 

If we observe some other solar systems, we face things where all planets have a unique mass. They have a unique central star. And then there are different numbers of planets. Then we can look at our solar system. There are at least four bigger gravity centers. The Sun, Jupiter, Saturn and Neptune. But there are also other gravity effects like the Kuiper Belt in its entirety. That means there are lots of other effect sources than just three gravity effects. 


https://scitechdaily.com/uncovering-islands-of-regularity-in-the-chaotic-three-body-problem/


https://en.wikipedia.org/wiki/Three-body_problem

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