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作者:

Qian, Ying-Jing (Qian, Ying-Jing.) (学者:钱霙婧) | Guo, Jian-Yu (Guo, Jian-Yu.) | Yu, Tian-Jun (Yu, Tian-Jun.) | Yang, Xiao-Dong (Yang, Xiao-Dong.) (学者:杨晓东) | Wang, Dong-Mei (Wang, Dong-Mei.)

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CPCI-S EI Scopus SCIE

摘要:

The current investigation applied the invariant manifold technique to study the halo orbits around the libration points in circular restricted three-body problem. Two dominant (leading) directions were considered as dominant motions for the construction of spatial halo orbits, the third direction motion being the slave (following) motion. The dominant motions correspond to four-dimensional invariant manifolds in the phase space. The invariant nonlinear asymptotic relations (i.e. INARs) between the two dominant motions and the slave motion were established, enabling a transformation from the 3-DOF problem into a 2-DOF problem. Application of the INARs are also discussed. Such invariant nonlinear relations in polynomial expansion form could be used as: (I) approximate analytical solutions; (II) topological constraints to obtain more exact numerical solutions with differential correction. General findings in the current research revealed that the nonlinear asymptotic relations among the directions provided an alternative point of view to explore the overall dynamics of halo orbits around libration points with general rules. The effectiveness of the proposed method was also verified by numerical simulations.

关键词:

Restricted three-body problem Invariant manifold technique Libration points Halo orbit

作者机构:

  • [ 1 ] [Qian, Ying-Jing]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 2 ] [Guo, Jian-Yu]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 3 ] [Yang, Xiao-Dong]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 4 ] [Yu, Tian-Jun]Beijing Inst Technol, Sch Aerosp Engn, Beijing 100081, Peoples R China
  • [ 5 ] [Wang, Dong-Mei]Tianjin Univ Sci & Technol, Coll Sci, Tianjin 300457, Peoples R China

通讯作者信息:

  • 钱霙婧

    [Qian, Ying-Jing]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China

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来源 :

ACTA ASTRONAUTICA

ISSN: 0094-5765

年份: 2019

卷: 163

页码: 24-37

3 . 5 0 0

JCR@2022

ESI学科: ENGINEERING;

ESI高被引阀值:136

JCR分区:1

被引次数:

WoS核心集被引频次: 5

SCOPUS被引频次: 6

ESI高被引论文在榜: 0 展开所有

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