Controllability of Keplerian Motion with Low-Thrust Control Systems
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Publication:4556141
zbMATH Open1405.93036arXiv1505.07273MaRDI QIDQ4556141
Publication date: 23 November 2018
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.
Full work available at URL: https://arxiv.org/abs/1505.07273
Controllability (93B05) Application models in control theory (93C95) Variable mass, rockets (70P05) Control/observation systems governed by ordinary differential equations (93C15)
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