On the curvature of the trajectories in the restricted three-body problem

It is proved that for the restricted problem of three bodies there are at most three osculating solutions at one point. Points were there are three or two osculating solutions specified.

Mira-Cristiana Anisiu
Institute of Mathematics, Cluj-Napoca, Romania

Celestial Mechanics – Restricted Three-Body Problem.

M.-C. Anisiu, On the curvature of the trajectories in the restricted three-body problem, Rom. Astron. J. 3 (1) (1993), 61-64

https://www.astro.ro/~roaj/volume/abs3.html#ON%20THE%20CURVATURE%20OF%20THE%20TRAJECTORIES%20IN%20THE

google scholar link