An analysis of the Sun-Earth-Asteroid systems based on the two-centre problem
Dynamical Systems
2017-06-06 v2 Mathematical Physics
History and Overview
math.MP
Abstract
We propose a new analysis of the two--centre problem particularly suited to be used as a basis to study the dynamics of Sun--Earth--Asteroid systems. Our method, based on a tricky choice of initial coordinates, allows us to evaluate the risk of collisions between the Asteroid and Earth. Moreover, it seems to be fitted to prove the existence of chains of transition tori in the planar Sun--Earth--Asteroid systems.
Cite
@article{arxiv.1702.03680,
title = {An analysis of the Sun-Earth-Asteroid systems based on the two-centre problem},
author = {Gabriella Pinzari},
journal= {arXiv preprint arXiv:1702.03680},
year = {2017}
}
Comments
21 pages. The author is partially supported by the H2020 Project ERC Starting Grant 677793 StableChaoticPlanetM