Gregory's ServerThree-Body Problem. Newly discovered stable periodic orbits.
By Xiaoming LI and Shijun LIAO
Source: https://numericaltank.sjtu.edu.cn/three-body/three-body.htm
 21 comments
  My answer is no, if we lived in a 2-D universe. 🙂 The original title says why: "Periodic orbits for Newtonian planar three-body problem". Note the use of the word "planar". @stf @marcioaleks New challenge for someone who isn't me (because I would not be capable): Artistic rendering of what the sky would look like if one was in the frame of reference of a planet in the three star configurations of Figure 6.  @marcioaleks Interesting.... I think N-Body problems demonstrate the limits of our current understanding of the physical nature of the universe. The math treats gravity as a force, either Newtonian or Einsteinian. I submit gravity is not simply a force, nor measure of acceleration in a space-time constricted physical perception. My hypothesis is that there is an obvious 4th obvious spatial dimension. The N-Body equations are not accounting for the motion in that dimension....  @marcioaleks it would be interesting to plot the motion of the centre of mass as well as the orbits. Nice. The planet orbits must be really crazy in that kind of place. The trisolarian version of Kepler laws must be really crazy.  @marcioaleks Surprisingly / unsurprisingly, they discover many of these stable 3-body orbits with ... a neural network! (Also, they had to invent a higher-resolution form of numerical integration to get this to work -- these orbits are stable but still sensitive.) @marcioaleks Can I ask what "stable" means in this context? Is it saying that, if placed exactly in those starting conditions, the system will last forever without one body being ejected? Or is it stable under (sufficiently small) perturbation? Either way it's really cool!  @marcioaleks This doesn't surprise me that such would exist. I've not tried to run a simulation of it. Are these the same mass?  Scientists trying to solve the Three-Body problem create dozens of beautiful graphs depending on mass and rotation. The challenge now is to predict the stable periods so that the Trisolarians won't invade us.    |
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