Geometry of Weak Stability Boundaries
Dynamical Systems
2012-04-09 v1 Chaotic Dynamics
Abstract
The notion of a weak stability boundary has been successfully used to design low energy trajectories from the Earth to the Moon. The structure of this boundary has been investigated in a number of studies, where partial results have been obtained. We propose a generalization of the weak stability boundary. We prove analytically that, in the context of the planar circular restricted three-body problem, under certain conditions on the mass ratio of the primaries and on the energy, the weak stability boundary about the heavier primary coincides with a branch of the global stable manifold of the Lyapunov orbit about one of the Lagrange points.
Keywords
Cite
@article{arxiv.1204.1502,
title = {Geometry of Weak Stability Boundaries},
author = {Edward Belbruno and Marian Gidea and Francesco Topputo},
journal= {arXiv preprint arXiv:1204.1502},
year = {2012}
}