3 ms·
As the default simulation played out beautifully on-load, I immediately started to question: "hang on, I thought there wasn't a solution for 3 bodies, but this
by herghost 10mo ago
As the default simulation played out beautifully on-load, I immediately started to question: "hang on, I thought there wasn't a solution for 3 bodies, but this looks stable".
Before I could complete the thought, it fell apart magnificently :)
- jahnu 10mo agoThere are quite a few solutions ;) https://www.sciencealert.com/we-just-got-12000-new-solutions-to-the-infamous-three-body-problem https://www.sciencealert.com/we-just-got-12000-new-solutions...
- throwawayffffas 10mo agoThe default configuration is a special case. They are all in a stable orbit around the common barycenter, always forming an equilateral triangle. We actually have closed form solutions for this kind of configuration. See https://en.wikipedia.org/wiki/Three-body_problem#General_solution https://en.wikipedia.org/wiki/Three-body_problem#General_sol... PS: The site has more stable presets under load preset.
- dtgriscom 10mo agoThese are meta-stable, in that only a perfect initial state (positions and velocities) will be stable. Even then, I expect quantum uncertainties would kick in at some point. (In the simulator, the default system goes unstable at about 500 seconds, probably due to the limits of floating point math.)
- forgotpwd16 10mo ago>probably due to the limits of floating point math It's due to the integration scheme (2nd order, albeit symplectic) and time step (5e-4, ok if better scheme is used).