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Controllability of Keplerian Motion with Low-Thrust Control Systems

Abstract : In this paper, we present the controllability properties of Keplerian motion controlled by low-thrust control systems. A low-thrust control system, compared with a high or an even impulsive control system, provides a fuel-efficient means to control the Keplerian motion of a satellite in the 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.
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Submitted on : Thursday, November 24, 2016 - 11:30:52 PM
Last modification on : Tuesday, December 14, 2021 - 3:01:55 AM

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Zheng Chen, Yacine Chitour. Controllability of Keplerian Motion with Low-Thrust Control Systems. Radon Series on Computational and Applied Mathematics, 18, pp.344-364, 2016, Variational Methods In Imaging and Geometric Control, ⟨10.1515/9783110430394-011⟩. ⟨hal-01402649⟩



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