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Comments (42)

  • pixelpoet
    I have something similar at https://gravitoy.xyzWith it I have discovered up to 11-dimensional choreographies, see https://lycium.github.io/hyperchoreography/ and code at https://github.com/lycium/hyperchoreography/Exposition video: https://youtube.com/watch?v=sIfff10hYZAExample rendered output from Gravitoy (not of a choreography though): https://www.youtube.com/watch?v=N3BwCoiwsGkLooks like I need to update my catalogue to take into account the many different 2D choreographies from the references on this site!
  • mr_mitm
    It's well organized, the animations are smooth, and it looks beautiful... I'm not sure what to do with the information, but it's mesmerizing and fascinating. Great find!
  • deskamess
    I guess I misunderstood or mis-scoped the problem. Does the 3-body problem state 'the general case' has no solution, but that does not preclude some configurations from having a solution?
  • hakuseki
    I was surprised that I couldn't find any simple-looking solutions in this atlas. At first I was looking for Lagrange orbits, but maybe it makes sense to exclude them if zero-mass bodies aren't allowed. I think the equilateral triangle ought to be included though.
  • inatreecrown2
    Very cool visuals and site! Could I make a suggestion: You show the masses (1,1,1), but not the starting positions, which alter the course of events too.
  • jrflo
    Quick, someone tell the Trisolarans!
  • RALaBarge
    This is an amazing looking website, I like it a lot.
  • MeteorMarc
    I assume some of the solutions are stable against small perturbations, while others are not. That would be interesting to see.
  • dreamcompiler
    I took graduate orbital mechanics from Roger Broucke. He was one of my best professors. Not only did I learn from him what orbital elements were, but he also taught me the Runge-Kutta numerical integration method.I didn't learn until years later that he had discovered several of the periodic solutions to the three-body problems. You'll see his name on this page.
  • moritzwarhier
    Wow. This is really cool. Deterministic chaos is my absolute favorite in all the nerdy things there are to like in the abstract world.
  • boringg
    This is pretty cool to be able to see all the varieties.
  • freakynit
    This is beautiful. And fast!!!
  • glitchbot
    SPIROGRAPH, lowtech!
  • kmitz
    Fantastic UX, so smooth even on smartphone ! Congrats
  • khalic
    I'm going to spend so much time on this website, very good work
  • ur-whale
    Oh, this is so nice, but man is it hugely frustrating not to be able to rotate the thing in 3D.Or did I not find the controls?
  • RugnirViking
    very ai but also pretty cool. wheres the data source? could I find my own periodic solution?
  • hanw040519
    cool!
  • IshKebab
    I assume this is at least partially vibe coded, but this is the first good vibe coded website I've seen. Amazing work.
  • nautilus12
    Is this assumed to be 2D? I was going to ask if there are any observed examples of 3 body equilibrium observed in nature.