The quite wordy Celestial Mechanics and Dynamical Astronomy (usually Celest. Mech. Dyn. Astron., whew) has published (Feb, vol. 138 #1):
Carruba, V. Caritá, G. Aljbaae, S. et al. Co-orbital asteroids of terrestrial planets affected by the von Zeipel-Lidov-Kozai mechanism 8 s10569-026-10275-5
One (tiny) body orbiting another (dominant) body is simple math. Two general bodies in “orbit” are at least straightforward, if a little more involved. Adding a third body makes everything go to extremes- at best, we assume one body is tiny, reducing the problem to, effectively, two bodies again.
Still, Carruba et al. take a turn at a multi-body problem: small asteroids in the grip of a planet. Strange things happen, as von Zeipel, Lidov, Kozai, and others had found. The authors here find some possible stable and unstable regions around planets that could (or could not) host asteroids.