Display Abstract

Title Analytical investigation of the dynamics around the collinear points

Name Giuseppe Pucacco
Country Italy
Email pucacco@roma2.infn.it
Co-Author(s) Marta Ceccaroni, Alessandra Celletti
Submit Time 2014-02-27 04:47:11
Session
Special Session 82: Celestial mechanics
Contents
We study the main families of periodic orbits around the collinear points of the restricted spacial 3 body problem. We construct a resonant normal form on the central manifold and exploit it to compute bifurcation thresholds of halo orbits in the whole range of mass parameter $0 \le \mu \le 1/2$ recovering, as a limit case, the Hill problem.