Libration point orbits and its invariant manifolds structure

Dong Qiao; Rui Xu; Haibin Shang

doi:10.1109/IWCFTA.2010.56

Libration point orbits and its invariant manifolds structure

Dong Qiao^*, Rui Xu, Haibin Shang

^*Corresponding author for this work

School of Aerospace Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The invariant manifold structures of the libration points for restricted three-body problem will provide the framework for understanding complex dynamical phenomena. These stable and unstable invariant manifold tubes associated to libration point orbits can be used to construct new low-energy spacecraft trajectories. So, in this paper, we will introduce the libration point and its invariant manifolds structure. First, we introduce the restricted three-body problem, libration point and Halo orbit. Then, we discuss and provide the stable and unstable invariant manifold tubes associated to libration point orbits based on manifolds and dynamical system theory. Finally, we apply these dynamical properties to design the capture trajectory in planetary exploration.

Original language	English
Title of host publication	Proceedings - 2010 International Workshop on Chaos-Fractal Theories and Applications, IWCFTA 2010
Pages	316-320
Number of pages	5
DOIs	https://doi.org/10.1109/IWCFTA.2010.56
Publication status	Published - 2010
Event	3rd International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2010 - Kunming, Yunnan, China Duration: 29 Oct 2010 → 31 Oct 2010

Publication series

Name	Proceedings - 2010 International Workshop on Chaos-Fractal Theories and Applications, IWCFTA 2010

Conference

Conference	3rd International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2010
Country/Territory	China
City	Kunming, Yunnan
Period	29/10/10 → 31/10/10

Keywords

Invariant manifold construct
Libration point orbit
Restricted three-body problem

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10.1109/IWCFTA.2010.56

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Qiao, D., Xu, R., & Shang, H. (2010). Libration point orbits and its invariant manifolds structure. In Proceedings - 2010 International Workshop on Chaos-Fractal Theories and Applications, IWCFTA 2010 (pp. 316-320). Article 5671188 (Proceedings - 2010 International Workshop on Chaos-Fractal Theories and Applications, IWCFTA 2010). https://doi.org/10.1109/IWCFTA.2010.56

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title = "Libration point orbits and its invariant manifolds structure",

abstract = "The invariant manifold structures of the libration points for restricted three-body problem will provide the framework for understanding complex dynamical phenomena. These stable and unstable invariant manifold tubes associated to libration point orbits can be used to construct new low-energy spacecraft trajectories. So, in this paper, we will introduce the libration point and its invariant manifolds structure. First, we introduce the restricted three-body problem, libration point and Halo orbit. Then, we discuss and provide the stable and unstable invariant manifold tubes associated to libration point orbits based on manifolds and dynamical system theory. Finally, we apply these dynamical properties to design the capture trajectory in planetary exploration.",

keywords = "Invariant manifold construct, Libration point orbit, Restricted three-body problem",

author = "Dong Qiao and Rui Xu and Haibin Shang",

year = "2010",

doi = "10.1109/IWCFTA.2010.56",

language = "English",

isbn = "9780769542478",

series = "Proceedings - 2010 International Workshop on Chaos-Fractal Theories and Applications, IWCFTA 2010",

pages = "316--320",

booktitle = "Proceedings - 2010 International Workshop on Chaos-Fractal Theories and Applications, IWCFTA 2010",

note = "3rd International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2010 ; Conference date: 29-10-2010 Through 31-10-2010",

}

Qiao, D , Xu, R & Shang, H 2010, Libration point orbits and its invariant manifolds structure. in Proceedings - 2010 International Workshop on Chaos-Fractal Theories and Applications, IWCFTA 2010., 5671188, Proceedings - 2010 International Workshop on Chaos-Fractal Theories and Applications, IWCFTA 2010, pp. 316-320, 3rd International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2010, Kunming, Yunnan, China, 29/10/10. https://doi.org/10.1109/IWCFTA.2010.56

Libration point orbits and its invariant manifolds structure. / Qiao, Dong ; Xu, Rui ; Shang, Haibin.
Proceedings - 2010 International Workshop on Chaos-Fractal Theories and Applications, IWCFTA 2010. 2010. p. 316-320 5671188 (Proceedings - 2010 International Workshop on Chaos-Fractal Theories and Applications, IWCFTA 2010).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Qiao, Dong

AU - Xu, Rui

AU - Shang, Haibin

PY - 2010

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N2 - The invariant manifold structures of the libration points for restricted three-body problem will provide the framework for understanding complex dynamical phenomena. These stable and unstable invariant manifold tubes associated to libration point orbits can be used to construct new low-energy spacecraft trajectories. So, in this paper, we will introduce the libration point and its invariant manifolds structure. First, we introduce the restricted three-body problem, libration point and Halo orbit. Then, we discuss and provide the stable and unstable invariant manifold tubes associated to libration point orbits based on manifolds and dynamical system theory. Finally, we apply these dynamical properties to design the capture trajectory in planetary exploration.

AB - The invariant manifold structures of the libration points for restricted three-body problem will provide the framework for understanding complex dynamical phenomena. These stable and unstable invariant manifold tubes associated to libration point orbits can be used to construct new low-energy spacecraft trajectories. So, in this paper, we will introduce the libration point and its invariant manifolds structure. First, we introduce the restricted three-body problem, libration point and Halo orbit. Then, we discuss and provide the stable and unstable invariant manifold tubes associated to libration point orbits based on manifolds and dynamical system theory. Finally, we apply these dynamical properties to design the capture trajectory in planetary exploration.

KW - Invariant manifold construct

KW - Libration point orbit

KW - Restricted three-body problem

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DO - 10.1109/IWCFTA.2010.56

M3 - Conference contribution

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BT - Proceedings - 2010 International Workshop on Chaos-Fractal Theories and Applications, IWCFTA 2010

T2 - 3rd International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2010

Y2 - 29 October 2010 through 31 October 2010

ER -

Libration point orbits and its invariant manifolds structure

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Keywords

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