%0 Journal Article
%T Arnold Diffusion in a Restricted Planar Four-Body Problem
%A Jinxin Xue
%J Mathematics
%D 2012
%I arXiv
%X 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 $L_1$ and $L_2$ 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.
%U http://arxiv.org/abs/1210.3882v3