Can There Be a Stable Figure-Eight Orbit Between Earth and the Moon?

[TheAwkwardEng]

Hello! I don't know if this is in the right place or not. So if it's not, I won't misplace it in the future.

Anyway, I was recently thinking about the orbits of planets around Binary Stars, and was wondering if it's possible to have a similar orbit around the Earth and the Moon. Have a figure-eight like Orbit that would stay stable even with the movement of the Moon and the varying distance. Do you know if it's possible?

 

[Nik_2213]

No, sadly, because it would soon be perturbed by Sun's gravity...

On a local scale, this even applies to the nominally stable L4 & L5 positions. IIRC, they are only metastable due to solar gravity, Earth's slightly elliptical orbit, Venus & Jupiter etc etc. However, a 'halo orbit' around those geometric positions *will* survive for a long time...