the three body problem is simulating the trajectory of 3 massive bodies interacting gravitationally. this is a chaotic system.
Confine the bodies to the 2D plane.
Have the starting position of two bodies fixed, and vary the third. Each pixel on the screen corresponds to the starting position of the third body, with fixed dots on the screen indicating the positions of the other two. run the simulation for some time and then color the pixel based on the orientation of the three bodies. this will be a 2-color fractal. can do shading based on distance between bodies or something, maybe magnitude of the cross product. Or maybe final velocities.
Masses can be sliders.
Initial velocities can be sliders.
the three body problem is simulating the trajectory of 3 massive bodies interacting gravitationally. this is a chaotic system.
Confine the bodies to the 2D plane.
Have the starting position of two bodies fixed, and vary the third. Each pixel on the screen corresponds to the starting position of the third body, with fixed dots on the screen indicating the positions of the other two. run the simulation for some time and then color the pixel based on the orientation of the three bodies. this will be a 2-color fractal. can do shading based on distance between bodies or something, maybe magnitude of the cross product. Or maybe final velocities.
Masses can be sliders.
Initial velocities can be sliders.