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Hamiltonian-Based Libration Point Orbit Control on Manifold of Constant Energy

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Proceedings of the 27th International Conference on Systems Engineering, ICSEng 2020 (ICSEng 2020)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 182))

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Abstract

The circular restricted three-body problem (CR3BP) is important from the theoretical as well as a practical viewpoint. In this paper, the objective is to control a spacecraft along stable or unstable libration point orbits. For this purpose, a manifold of constant energy is specified. Then, a Hamiltonian-based state variable feedback control law is designed for regulating the spacecraft to attain the specified level of energy. Through the Lyapunov analysis, asymptotic convergence of the system energy to prescribed level is established. For this multi-dimensional constant energy manifold, a variety of periodic and quasi-periodic libration point orbits can exist. Interestingly, the spacecraft can be controlled using a small control force applied to the spacecraft. Simulation results are presented, which show that in the closed-loop system, the spacecraft follows libration point orbits on the manifold of prescribed energy.

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Author information

Authors and Affiliations

  1. Department of Electronic Engineering, Catholic Kwandong University, Gangneung, Gangwon, 25601, Republic of Korea

    Keum W. Lee

  2. Department of Electrical and Computer Engineering, University of Nevada Las Vegas, Las Vegas, NV, 89154, USA

    Sahjendra N. Singh

Authors
  1. Keum W. Lee
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  2. Sahjendra N. Singh
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Corresponding author

Correspondence to Sahjendra N. Singh .

Editor information

Editors and Affiliations

  1. Department of Electrical and Computer Engineering, University of Nevada Las Vegas, Las Vegas, NV, USA

    Henry Selvaraj

  2. Department of Electrical and Computer Engineering, University of Nevada Las Vegas, Las Vegas, NV, USA

    Grzegorz Chmaj

  3. Department of Electrical and Computer Engineering, University of Nevada Las Vegas, Las Vegas, NV, USA

    Dawid Zydek

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Lee, K.W., Singh, S.N. (2021). Hamiltonian-Based Libration Point Orbit Control on Manifold of Constant Energy. In: Selvaraj, H., Chmaj, G., Zydek, D. (eds) Proceedings of the 27th International Conference on Systems Engineering, ICSEng 2020. ICSEng 2020. Lecture Notes in Networks and Systems, vol 182. Springer, Cham. https://doi.org/10.1007/978-3-030-65796-3_5

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