Dynamics of capture in the restricted three-body problem
Astrophysics
2007-05-23 v1 Dynamical Systems
Chaotic Dynamics
Abstract
We propose a new dynamical model for capture of irregular moons which identifies chaos as the essential feature responsible for initial temporary gravitational trapping within a planet's Hill sphere. The key point is that incoming potential satellites get trapped in chaotic orbits close to "sticky" KAM tori in the neighbourhood of the planet, possibly for very long times, so that the chaotic layer largely dictates the final orbital properties of captured moons.
Cite
@article{arxiv.astro-ph/0310618,
title = {Dynamics of capture in the restricted three-body problem},
author = {S. A. Astakhov and Andrew D. Burbanks and Stephen Wiggins and David Farrelly},
journal= {arXiv preprint arXiv:astro-ph/0310618},
year = {2007}
}
Comments
prepared for the Astronomical Society of the Pacific Conference Series, "Order and Chaos in Stellar and Planetary Systems", St.Petersburg, Russia, August 17-24, 2003