Controllability of Keplerian Motion with Low-Thrust Control Systems
Optimization and Control
2015-05-28 v1
Abstract
In this paper, we present the controllability properties of Keplerian motion controlled by low-thrust control systems. The low-thrust control system, compared with high or even impulsive control system, provide a fuel-efficient means to control the Keplerian motion of a satellite in restricted two-body problem. We obtain that, for any positive value of maximum thrust, the motion is controllable for orbital transfer problems. For two other typical problems: de-orbit problem and orbital insertion problem, which have state constraints, the motion is controllable if and only if the maximum thrust is bigger than a limiting value. Finally, two numerical examples are given to show the numerical method to compute the limiting value.
Cite
@article{arxiv.1505.07273,
title = {Controllability of Keplerian Motion with Low-Thrust Control Systems},
author = {Zheng Chen and Yacine Chitour},
journal= {arXiv preprint arXiv:1505.07273},
year = {2015}
}