unity – How to create a number of particles to form a circle and then animate it?

Imagine that you took about 500 points and randomly positioned them to form a (full) circle. Then adjust each individual point so that it flows around aimlessly, deviating at a limited distance from its original point.


example circle

(Some points are larger than others and some are lines, this is not intended.)

Inspiration for the animation. (Look at the background of the app.)

How can I implement this with the particle system in Unity?

I am a total beginner with particles so any help would be appreciated.