A beautiful solution of the gravitational 4-body problem. But keep watching, because it's not stable!https://twitter.com/simon_tardivel/status/1215728659010670594 …
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Is the author using floating point for this simulation?
I don't know. Are you, @simon_tardivel ?
Either numerical errors or deliberate errors introduced into the initial conditions are being amplified by the instability of this trajectory.
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You would need to use arbitrary precision and rational numbers to avoid numerical errors if this is using newtonian physics for the simulation.
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Arbitrary precision at some point will be compromised. Sustaining the simulation with rational numbers is only way, but even that cannot be forever unless things are periodic. The moment full-precision is lost, all bets are off. In reality full-prec is lost due to other forces.
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Good ol' Runge Kutta Dormand Prince. The reason it all went to hell is the numerical imprecision. Actually the reason it became a little bit asymmetric is more probably the floating point accuracy. Then numerical imprecision added some twists. And then the dynamics went nuts.
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For the "more chaos" vid in the thread I didn't want to wait so I introduced minute errors on the initial state and voilà.
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