Search results for "Two-centersproblem·Three-bodyproblem·Renormalizable integrability · Perihelion librations · Chaos"

A New Analysis of the Three-Body Problem

2022

In the recent papers [5, 18], respectively, the existence of motions where the perihelions afford periodic oscillations about certain equilibria and the onset of a topological horseshoe have been proved. Such results have been obtained using, as neighbouring integrable system, the so-called two-centre (or Euler) problem and a suitable canonical setting proposed in [16, 17]. Here we review such results.