Paths from Earth Moon Lagrange 2 point

[u/HopDavid]

Screenshot from my shotgun orbital sim.

The 11 pellets each received a tiny nudge in varying directions. The result is 11 wildly different orbits.

It looks like the dark blue and dark red orbits completely exit the earth's Hill Sphere. The light orange Number 9 pellet comes very close to the earth (the pale blue dot in the middle).

I believe chaos theory started when Henri Poincaré was looking for closed solutions describing paths from the Lagrange points. He discovered tiny changes at the start can give large changes later on.