An improved numerical method for constructing Halo/Lissajous orbits in a full solar system model

Yingjing QIAN; Xiaodong YANG; Wuxing JING; Wei ZHANG

doi:10.1016/j.cja.2018.03.006

An improved numerical method for constructing Halo/Lissajous orbits in a full solar system model

Yingjing QIAN
, Xiaodong YANG^*
, Wuxing JING
, Wei ZHANG

^*Corresponding author for this work

School of Astronautics

Beijing University of Technology

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

An improved numerical method that can construct Halo/Lissajous orbits in the vicinity of collinear libration points in a full solar system model is investigated. A full solar system gravitational model in the geocentric rotating coordinate system with a clear presentation of the angular velocity relative to the inertial coordinate system is proposed. An alternative way to determine patch points in the multiple shooting method is provided based on a dynamical analysis with Poincaré sections. By employing the new patch points and sequential quadratic programming, Halo orbits for L₁, L₂, and L₃ points as well as Lissajous orbits for L₁ and L₂ points in the Earth-Moon system are generated with the proposed full solar system gravitational model to verify the effectiveness of the proposed method.

Original language	English
Pages (from-to)	1362-1374
Number of pages	13
Journal	Chinese Journal of Aeronautics
Volume	31
Issue number	6
DOIs	https://doi.org/10.1016/j.cja.2018.03.006
State	Published - Jun 2018

Keywords

Full solar system model
Halo orbit
Libration motion
Lissajous orbit
Poincaré section

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10.1016/j.cja.2018.03.006

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title = "An improved numerical method for constructing Halo/Lissajous orbits in a full solar system model",

abstract = "An improved numerical method that can construct Halo/Lissajous orbits in the vicinity of collinear libration points in a full solar system model is investigated. A full solar system gravitational model in the geocentric rotating coordinate system with a clear presentation of the angular velocity relative to the inertial coordinate system is proposed. An alternative way to determine patch points in the multiple shooting method is provided based on a dynamical analysis with Poincar{\'e} sections. By employing the new patch points and sequential quadratic programming, Halo orbits for L1, L2, and L3 points as well as Lissajous orbits for L1 and L2 points in the Earth-Moon system are generated with the proposed full solar system gravitational model to verify the effectiveness of the proposed method.",

keywords = "Full solar system model, Halo orbit, Libration motion, Lissajous orbit, Poincar{\'e} section",

author = "Yingjing QIAN and Xiaodong YANG and Wuxing JING and Wei ZHANG",

note = "Publisher Copyright: {\textcopyright} 2018 Chinese Society of Aeronautics and Astronautics",

year = "2018",

month = jun,

doi = "10.1016/j.cja.2018.03.006",

language = "英语",

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journal = "Chinese Journal of Aeronautics",

issn = "1000-9361",

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TY - JOUR

T1 - An improved numerical method for constructing Halo/Lissajous orbits in a full solar system model

AU - QIAN, Yingjing

AU - YANG, Xiaodong

AU - JING, Wuxing

AU - ZHANG, Wei

PY - 2018/6

Y1 - 2018/6

N2 - An improved numerical method that can construct Halo/Lissajous orbits in the vicinity of collinear libration points in a full solar system model is investigated. A full solar system gravitational model in the geocentric rotating coordinate system with a clear presentation of the angular velocity relative to the inertial coordinate system is proposed. An alternative way to determine patch points in the multiple shooting method is provided based on a dynamical analysis with Poincaré sections. By employing the new patch points and sequential quadratic programming, Halo orbits for L1, L2, and L3 points as well as Lissajous orbits for L1 and L2 points in the Earth-Moon system are generated with the proposed full solar system gravitational model to verify the effectiveness of the proposed method.

AB - An improved numerical method that can construct Halo/Lissajous orbits in the vicinity of collinear libration points in a full solar system model is investigated. A full solar system gravitational model in the geocentric rotating coordinate system with a clear presentation of the angular velocity relative to the inertial coordinate system is proposed. An alternative way to determine patch points in the multiple shooting method is provided based on a dynamical analysis with Poincaré sections. By employing the new patch points and sequential quadratic programming, Halo orbits for L1, L2, and L3 points as well as Lissajous orbits for L1 and L2 points in the Earth-Moon system are generated with the proposed full solar system gravitational model to verify the effectiveness of the proposed method.

KW - Full solar system model

KW - Halo orbit

KW - Libration motion

KW - Lissajous orbit

KW - Poincaré section

UR - https://www.scopus.com/pages/publications/85046167923

U2 - 10.1016/j.cja.2018.03.006

DO - 10.1016/j.cja.2018.03.006

M3 - 文章

AN - SCOPUS:85046167923

SN - 1000-9361

VL - 31

SP - 1362

EP - 1374

JO - Chinese Journal of Aeronautics

JF - Chinese Journal of Aeronautics

IS - 6

ER -

An improved numerical method for constructing Halo/Lissajous orbits in a full solar system model

Abstract

Keywords

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