Arnold Diffusion in a Restricted Planar Four-Body Problem
Dynamical Systems
2014-11-04 v3
Abstract
This paper constructs a certain planar four-body problem which exhibits fast energy growth. The system considered is a quasi-periodic perturbation of the Restricted Planar Circular three-body Problem (RPC3BP). Gelfreich-Turaev's and de la Llave's mechanism is employed to obtain the fast energy growth. The diffusion is created by a heteroclinic cycle formed by two Lyapunov periodic orbits surrounding and Lagrangian points and their heteroclinic intersections. Our model is the first known example in celestial mechanics of the a priori chaotic case of Arnold diffusion.
Keywords
Cite
@article{arxiv.1210.3882,
title = {Arnold Diffusion in a Restricted Planar Four-Body Problem},
author = {Jinxin Xue},
journal= {arXiv preprint arXiv:1210.3882},
year = {2014}
}