Скачать или смотреть Particle pursuers

Yo !

I worked a bit more on pursuit curves and found very interesting behaviors when the pursuers are newtonian punctual particles. Instead of having pursuers with constant speed and instantaneous direction change, particle pursuers have a mass (and thus some inertia). By varying the force of attraction that the pursuee exerts on its pursuer and the drag acting on the pursuer, I obtain very intricate patterns looking like flourish or smoke.

Each particle exerts a force of attraction onto the next one in the array proportionnal to the inverse of their distance to some power p. In the same manner, each particle is under a drag force proportionnal to its velocity to some power q. By varying these various parameters, we can get the patterns demonstrated in the video.

The particles positions are then updated using a standard integration scheme (leapfrog-ish).

The sliders allow to adjust all the parameters on the fly, to get the most out of the program, without having to change the variables in the code, then compile and run it, which is very time consuming.