Mathematicians find 12,000 new solutions to ‘unsolvable’ 3-body problem::Calculating the way three things orbit each other is notoriously tricky, but a new study may reveal 12,000 new solutions.

  • frezik@midwest.social
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    1 year ago

    This is one of those headlines that’s more obscuring than enlightening. We knew a bunch of ways that you could arrange three gravitational bodies and have them be in a stable orbit around each other. This adds 12,000 more. However, a general solution is still incredibly complicated, and the Trisolarans would still like to have a little chat with us in Australia some time.

  • Sibbo@sopuli.xyz
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    1 year ago

    Title is wrong. Unsolvable means no general closed form solution. That doesn’t mean that single constellations cannot be proven stable.

    There is for example a trivial solution to the n-body problem. Arrange all bodies equidistant on a circle and have them move at the speed that keeps them on the circle.

  • skabbywag02@lemm.ee
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    1 year ago

    Damn it, I just started Cixin’s book and now these jerks are going to spoil it;)

      • R.Giskard@lemmy.world
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        1 year ago

        Idk it was fun for me. I thought it was interesting being from China, I’m not that well read so the Chinese author put a cool perspective on the novel.

      • frezik@midwest.social
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        1 year ago

        I think it’s similar to a lot of golden age SF novels from Clarke, Asimov, etc. Big, fantastic ideas combined with characters that are cardboard cutouts.

    • treefrog@lemm.ee
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      1 year ago

      You clicked the thread!

      And me too, I’m just at the beginning of the second book lol

    • frezik@midwest.social
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      1 year ago

      You can simulate a specific arrangement of n-bodies, where n > 2. Depending on how accurate you want it to be, you may need a supercomputer.

      If n = 2, then you can work it out on a napkin. If n = 1, you can draw a circle, point at it, and say “I figured it out!”

    • PetDinosaurs@lemmy.world
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      1 year ago

      So they mean there’s no general solution. That doesn’t mean that we can’t find specific solutions.

      As for your notion of solved, that’s solved in a numerical sense.