6533b833fe1ef96bd129b73c

RESEARCH PRODUCT

A New Analysis of the Three-Body Problem

Jérôme DaquinSara Di RuzzaGabriella Pinzari

subject

Renormalizable integrabilityTwo-centersproblem·Three-bodyproblem·Renormalizable integrability · Perihelion librations · ChaosThree-body problemChaosPerihelion librationsTwo-centers problemSettore MAT/07 - Fisica Matematica

description

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.

10.1007/978-3-031-13115-8_2https://doi.org/10.1007/978-3-031-13115-8_2